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Programming Questions and Answers February 20, 2021

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Given the circuit in Figure 6, find the value of R and L Given . H(1(1) 00010 (1) . R2 W L m vs(t) 10 2 cos(wt 30) V is (t) 0.1 cos (wt 15)A Ro 800 C625nF625 10F 10 rad US(t) 10 2 cos (wt 30) V Figure 6 R80 C 625 mF
Given the circuit in Figure 6, find the value of R and L Given: . H(1-(1) 00010 (1) . R=2 W L = ? m vs(t) =

6) Determine if Rolles Theorem can be applied. If Rolles Theorem can be applied, find all values of c in the interval such that f (c) 0 f(x)(x3)(x 2) closed interval 3, 2 10 POINTS 7) Apply the Mean Value Theorem to f on the indicated interval. Find all values f(b) f(a) f (c) of c in the interval a, b such that ba 3x5 f(x) 2 x 4 2x1 20 POINTS
6) 7) Determine if Rolle's Theorem can be applied. If Rolle's Theorem can be applied, find all values of c in

If the position vector from the origin of the reference frame to the starting point of the trajectory is given by r (3,4,6)m, while the position vector from the origin of the reference frame to the end point of the trajectory is given by ra (7,6,13)m, 1) find the parameterization equation, 2) compute the midpoint of the trajectory, and 3) compute
If the position vector from the origin of the reference frame to the starting point of the trajectory is

The figure below shows the straight line L, which has equation 3x2y18 0, and the straight line L, which is perpendicular to L, and the intersection of the two lines, which meet at point P (0.p). The straight lines L and L cross the xaxis at the points Q and R respectively. To L2 (a) (b) (e) (d) O um nt am 0 10 3.10 20 10 100 30 20 Find the value
The figure below shows the straight line L, which has equation 3x-2y-18= 0, and the straight line L, which is

Create and execute a program in Python that performs the following actions: Request user input for their first, middle, and last name Request user input for the year the user was born Pass the full name and year into a function Within the function, perform the following: Make a determination based on age, on whether or not the user is eligible to

Write a program that have the following functions A main function that read a person first and last name from keyboard. The main function calls the below functions. A function that takes first and last names and returns a set of the unique common letters in the first and last names (intersection). A function that takes first and last names and
Write a program that have the following functions: A main function that read a person first and last name

Write a program in Python that asks for the user for the last name, the first name, and SSN. The program will display the users initial which is the first character of first name and the first character last name. It will also generate the users email address as first character of first name and the last name with the email address. Also, it will

Write, save, and run a Python program using functions, named that will do the following when run. Each step must use a function. If functions are not used the point(s) will be zeroed. For a function to run, the function must be called by another function or main(). 1. display your full name in a comment 2. accept 3 user input integer numbers 3.

The battery voltage in Figure 4 is E10V and its capacity is 100WH, the average charging current should be Ipc 6A. The primary input voltage Vp 130V 60Hz and the transformer turns ratio n21. i) Draw the waveforms for i, and voltage between points A and B. (label the peak amplitudes). ii) Find the conduction angle a of the circuit. iii) Drive the
The battery voltage in Figure 4 is E=10V and its capacity is 100WH, the average charging current should be

3.1 Consider a random variable X with point probabilities P(Xk) 16 for k1, 2, 3, 4, 5, 6. Draw the graph of Xs distribution function F R R. (5) 3.2 Consider a Random Variable Y with density function f(x) 1 for x in the interval 0, 1. Draw the graph of Ys distribution function F R (5) R. 3.3 A red and black die are thrown. Let the random variable
3.1 Consider a random variable X with point probabilities P(X=k) =1/6 for K=1, 2, 3, 4, 5, 6. Draw the graph

Assume that natural numbers 7 N are represented by strings 1 (where 1 A). Remember that Turing machines compute multiargument functions from a list of inputs separated by blanks. Consider the following Turing machine M which computes a binary partial function fuNN N 90 AAR 11 R 91 A1 R 92 11 R 11 L 1AL AAL 94 93 AAR 95 AAL 97 11 L (i) (a) 2
Assume that natural numbers n N are represented by strings 1

The velocity v(t) of an object with mass m 68.1 kg in free fall at time t is given by the following expression v(t) mg (1exp(ctm)) where g 9.81ms and the drag coefficient is c. At time t 10 sec, the velocity of the object is measured as 40 ms and we wish to use this mea surement to estimate the value of the drag coefficient c. Note that c 0
The velocity v(t) of an object with mass m = 68.1 kg in free fall at time t is given by the following

1. Consider the following python program where the input is 3. def fun (a,b) if a b cab else d dint (input ()) sd 2 dd5 4 c1 return c xd gx3 rACOT mdg p False while g x or p False gg1 e fun(g,x) ife1 ore 0 p not p print (re,e) dd2 What are the final values of the following variables after this program has completed 1 S else 02 C1 e 1 6 False
1. Consider the following python program where the input is 3. def fun (a,b): if a ></a></div> </h2> </h2> </div> </div> <div class=

A2,3,2,4 b0 i0 Consider the following Python program. while i len(A) k Ai jlen(A) 1 while (ji) if (Aj Ak) bb Ai AiAil1 jj1 ii2 Trace the program. Show the values of the variables after each complete pass through the inner loop. k A0 A1 A2 A3 Show the final values of variables k b A101 ALL A2 A3
A=[2,3,2,4] b=0 i-0 Consider the following Python program. while i < len(A): k=A[i] j-len(A) - 1 while (j></a></div> </h2> </h2> </div> </div> <div class=

Write a main function that prompts for a file name and counts the frequency of each letter (a through z) using a dictionary. Make each letter lowercased and ignore punctuation. Print a histogram of the word counts. Use string format method to format the table as shown below. You may use USConstitution.txt file, included with this assignment, to
Write a main function that prompts for a file name and counts the frequency of each letter (a through z)

You are required to analyze different network topologies based on reallife scenarios. Read the scenario provided below and answer the question that follows. Provide a clear and concise explanation for your answer. You may refer to relevant examples to support your answer. Scenario 3 You are a network administrator responsible for setting up a
You are required to analyze different network topologies based on real-life scenarios. Read the scenario

3. Delete the node with value 67 from the given BST. Show the final BST. Draw the new BST without 67. 2 1 8 1 67 27 1 19 36 75 88 32 72 I 29 1 78
3. Delete the node with value 67 from the given BST. Show the final BST. Draw the new BST without 67. <2></a></div> </h2> </h2> </div> </div> <div class=

4. Construct the Hoffman code for the C keywords given below for which the expected length of the bit string for each keyword is minimal. The weights of the keywords are given below in the table. 4 Draw resulting binary tree. Words Weights return .15 switch.15 while if for .2 .25 .45 Answer Write the Hoffman codes for the words in this table.
4. Construct the Hoffman code for the C++ keywords given below for which the expected length of the bit

Suppose that TCPs current estimated values for the Round Trip Time (estimated RTT) and deviation in the RTT (DevRTT) are (estimated RTT msec. Suppose that the next measured value of the RTT is 395.4 msec and assume a 0.125, and B0.25. Select the correct answer. application TCP IP link physical RTT Internet application TCP IP link physical O a.
Suppose that TCP's current estimated values for the Round Trip Time (estimated RTT) and deviation in the RTT

Given the following simple telnet scenario between 2 hosts, select the correct answer. Host A Seq1, ACK1 Seq2, ACK2 Seq3, ACK3 Host B O a. (Only) 3 other answers are correct (excluding this one) O b. if Seq117, then ACK2 will be 19 and if ACK346 then SEQ2 is 44 O c. if Seq117, then ACK2 will be 17 and if ACK346 then Seq2 is 46 O d. (Only) 2 other
Given the following simple telnet scenario between 2 hosts, select the correct answer. Host A Seq1, ACK1

Suppose, you are given with the kbit pattern and Carrier Frequency as follows kbit pattern 10 11 01 00 kbit Carrier Frequency 00 01 10 11 250kHz 150 kHz 350 kHz 450 kHz Draw FHSS cycle 3 times using the above pseudo random generated kbit pattern and given frequency table. ( Hint Draw the Carrier frequency graph against hop period) 3
Suppose, you are given with the k-bit pattern and Carrier Frequency as follows: k-bit pattern 10 11 01 00

Develop an assembly program to find the sum of first n natural numbers and store the result in memory in both Bigendian and Littleendian format. If the result goes beyond 16 bits, the result should be stored in the memory. (Use Thumb mode only) Develop an assembly language program to generate symmetric and asymmetric square wave on PORT 0 second
Develop an assembly program to find the sum of first 'n' natural numbers and store the result in memory in

Develop an assembly language program to a) Get a number from the memory. Display its complement on port 1 if the number is positive otherwise display the actual number on port 0. b) Read parallel data from port 1 and store the number in the memory if there is a confirmation input received from port 0. Develop an assembly language program to
Develop an assembly language program to a) Get a number from the memory. Display it's complement on port 1 if

. Find the following matrix product 20 BG 0 1 3 2 130 24 2 1
. Find the following matrix product: 20 BG 0 1 3 2 130 24 2 1

2.1Given the following Matrices A and B, write the Octave commands and provide screenshots to show the following matrix operations A X B, B A, A B, and the inverse of matrix A. (Note command script must include student name AND student number). (3) 157 A 5 m co 3 4 57 8 9 8 5 32 B 1 2 9 6 7 3
2.1Given the following Matrices A and B, write the Octave commands and provide screenshots to show the

. What will be effect on m and s array if is replaced by
. What will be effect on m and s array if < is replaced by

4. Write a program in assembly language to find whether a number is divisible by N or not. Here the value of N and the number should be user inputs. 5. Write a program in assembly language to calculate the sum of two arrays index by index and store the result in another array. (the sum should be between 09) Good Luck
4. Write a program in assembly language to find whether a number is divisible by N or not. Here the value of

Find the time complexity of the following functions. function(int n) for (int i 0 i
Find the time complexity of the following functions. function(int n) { } for (int i = 0; i

An nary tree is a tree where every node has at most n children. An nary heap is an nary tree that has the heap properties (leftcomplete and partially ordered). Assume that an nary heap will never contain more than n elements in total. a) What can you say about the shape (height, width, size of each level) of an nary heap How is it represented as
An n-ary tree is a tree where every node has at most n children. An n-ary heap is an n-ary tree that has the

The following is a comparisonbased algorithm that sorts in ascending order lists of 3 integers chosen from the set 0, 1 (e.g. 1,0,0 is a valid input, but 1,2,3 is not) doing only 2 comparisons in the worst case. 1 Function sort3(a) 2 3 4 5 6 7 8 9 if a2
The following is a comparison-based algorithm that sorts in ascending order lists of 3 integers chosen from

What expression produces the truth table shown below X 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 Z 0 1 0 1 0 1 0 1 Select one O a. z O b. x OR y AND NOT z O c. Y AND z O d. x OR z AND y Oe. x AND z Result 0 0 0 1 0 0 1 1
What expression produces the truth table shown below? X 0 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 Z 0 1 0 1 0 1 0 1

Use MATAB to show that the sum of the infinite series 1 (2n 1)(2n 2) n0 Converges to In 2. Do this by computing the sum for (a) n 50 (b) n 500 (c) n 5000
Use MATAB to show that the sum of the infinite series 1 (2n + 1)(2n + 2) n=0 Converges to In 2. Do this by

1.Using python write code a number from the user, which may be an integer or a float a.Calculate the cubic value of a, and print the result. The output is 20 characters wide, centered, and filled with minus signs () for extra characters. If the result exceeds 20 characters, the result width will prevail.
1.Using python write code a number from the user, which may be an integer or a float a. Calculate the cubic

4. the truth table for it. A B C Write the output expression for the circuit in Figure below, develop iD px
4. the truth table for it. A B C Write the output expression for the circuit in Figure below, develop iD p-x

4. The following pseudo code represents the hamilton path search algorithm for face stripification in the Beady system. Choose the correct description for the behavior of the code. getnextfaces(facea, visited) collects unvisited faces adjacent to the facea, and sorts them according to a heuristic criteria that favors a spiral strip. Pseudocode 1
4. The following pseudo code represents the hamilton path search algorithm for face stripification in the

1. Write the pseudocode that represents the code (No code allowed) 2. Create a table of steps to describe how the pseudocode behaves for any given n. Show all work. 3. Compute the complexity function of your algorithm T(n), and based on your complexity, state the worst case time complexity using Big O notation. Show all your work, including step
1. Write the pseudocode that represents the code (No code allowed) 2. Create a table of steps to describe howX int n = 2 where x is an even int 2 + For (int i = 1; i

Consider the following image 1 1 2 2 2 10021 10100 2 0 3 00220 22211 and a convolution kernel below with stride 2 and zero padding (1,1). 0 1 0 0 0 0 What is the output of the convolution
Consider the following image 1 1 2 2 2 10021 10100 2 0 3 00220 22211 and a convolution kernel below with

11. Using python write code that follows these instructions.. The following integral formula solves a specific calculation problem 1 (1 X (1 )dx Read the input as infinity, write code to calculate the integral, and keep 8 decimal digits for the result. To simplify the calculation, the integral is calculated as an integer of unit 1. Tip The
11. Using python write code that follows these instructions.. The following integral formula solves a

Following Figure 2 shows the search space where S is the START node, where C is the GOAL node. While, labeled arcs consist of heuristic cost of traversing the arcs. X A W B D 3 3 6 U 5 S 0 Figure 2 Search Space Provide the sequence of order states based on the Figure 2 in the following type of searching algorithm. Remember to STOP when you reach
Following Figure 2 shows the search space where S is the START node, where C is the GOAL node. While, labeled

Figure 1 illustrates the navigation map from one state to another state in United States. Remember, the following graph is undirected, CALIFORNIA indicates as the START node UTAH indicates as the GOAL node Labeled arcs consist of cost of traversing the arcs 3 1 California Arizona Oregon 1 2 New Mexico Utah Nevada Washington Colorado Texas Idaho
Figure 1 illustrates the navigation map from one state to another state in United States. Remember, the

Convert the following Pseudocode to its equivalent in Python programming. 10 marks BEGIN NUMBER num1,num2,num3 INPUT num1 INPUT num2 INPUT num3 IF num1num2 AND num1num3 THEN DISPLAY num1 is higher ELSE IF num2 num3 THEN DISPLAY num2 is higher DISPLAY num3 is higher ELSE ENDIF END
Convert the following Pseudocode to its equivalent in Python programming. [10 marks] BEGIN NUMBER

a) What kinds of social effects can software cause List at least 3 items. b) Incremental Process Model combines elements of linear and parallel process flow. Explain when to use it c) Identify the cohesion type of the following module. Explain why. Function A Function A Function Function B Function C Function logic Function A D E Function A Time
a) What kinds of social effects can software cause? List at least 3 items. b) Incremental Process Model

f) Identify the includes and extends relationship in the following use cases diagram and EXPLAIN why. Actori Actor3 E D B Actor2
f) Identify the includes and extends relationship in the following use cases diagram and EXPLAIN why. Actori

9. Consider the following algorithm A H hash table (empty buckets store number1) N number of buckets of the hash table k an integer number 1 NM in 67 2 3 4 5 7 function A(H,N, K) i(2K) N for 0
9. Consider the following algorithm A: H: hash table (empty buckets store number-1) N: number of buckets of

8. With some modifications, the following algorithm might be used to find an available position in the hash table when linear probing is applied as a collision resolution method. A array of numbers N number of elements of the array i index of the array 1 2 3 4 4 i4 N5 function TraverseArray (A, N, 1) for 0
8. With some modifications, the following algorithm might be used to find an available position in the hash

The objective of this question is to show how R can be applied in the context of linear regression using matrices. Given n pairs of values (, 1), (2, 32). (En, yn)), the sample (Pearson) correlation coefficient r is defined by (x2)(y7) im1 72 72 (x z), ( g) i1 T 71 The cor () function can input two vector arguments of the same length and output
The objective of this question is to show how R can be applied in the context of linear regression using

Write a function PearsonCor, which input is a data frame with two numerical columns. It calculates the Pearson correlation coefficient inside and returns a single value (dont use built in cor function). Round your answer to 3 digits. Sample input mtcars mpg, mtcars hp Sample output 0.776
Write a function PearsonCor, which input is a data frame with two numerical columns. It calculates the

. Consider this 5stage pipeline () IF Reg ALU DM For the following pairs of instructions, how many stalls will the 2nd instruction experience (with and without bypassing) ADD R3 R1R2 ADD R5 R3R4 LD R2 R1 ADD R4R2R3 Reg LD R2 R1 SD R3 R2 LD R2 R1 SD R2 R3 25
. Consider this 5-stage pipeline () IF Reg ALU DM For the following pairs of instructions, how many stalls

b.) 2 i. ii. Consider the following critical section problem, using the code snippet provided below, explain the role of each of the protocol sections. (4 marks) While (true) entry section critical section exit section remainder section Give a detailed explanation of the three (3) possible requirements for the solution to the critical section
b.) 2 i. ii. Consider the following critical section problem, using the code snippet provided below, explain

Understand the given JAVA program and write the output. public class Change It public void doIt( int z ) public class q2 z2 22 public static void main( String args ) int myArray (10, 25, 35, 40, 50 ChangeIt.doIt (myArray) for (int j0 j
Understand the given JAVA program and write the output. public class Change It { public void doIt(int[] z ) {

There is a CPU that spends 90 of its time executing a specific type of calculation when running an asteroid simulation. Its manufacturers make a change that improves its performance on that calculation 15 times. 1. If the asteroid originally took 85 s to execute, what will the execution time now be after the changes have been introduced 2. What
There is a CPU that spends 90% of its time executing a specific type of calculation when running an asteroid

Given an array A (3, 7, 8, 5). What will be in array A after running the given function Evaluate (4, A) public void Evaluate(int n, int B) ( int k for(k 0 k n k) Bk Bk k n
Given an array A = (3, 7, 8, 5). What will be in array A after running the given function Evaluate (4, A)?

Understand the given JAVA program and write the output. public class q3 public static void main (String args ) int y new int5 y0 34 y1 88 System.out.printin(y0 1111 y1 1111 y5 )
Understand the given JAVA program and write the output. public class q3 { public static void main(String[]

If we continue to iteratively solve for U and V, what would U and V converge to U goes to 0, 1, V goes to 0, U goes to 0, 0), V goes to 0,0 U goes to 0, 1, V goes to 0,0 U goes to 0, 0, V goes to 1,0
If we continue to iteratively solve for U and V, what would U and V converge to? U goes to [0,1], V goes to

Understand the given JAVA program and write the output. class evaluate public static void main(String args) int arr new int 0, 1, 2, 3, 4, 5, 6, 7, 8, 91 int n 6 n arrarr n 2 System.out.println (arr n 2)
Understand the given JAVA program and write the output. class evaluate { public static void main(String

What is y after the following statement is executed y (x 0) 1010
What is y after the following statement is executed? y = (x < 0) ? 10:-10:

(B) Find the MST by giving the sequence of edges in the order (i) Kruskals algorithm specifies them, (ii) Prims algorithm (use any approach) specifies them, and start from A. Specify the edges using their edge weight. 36 34 16 13 19 14 C 33 33 18 12 65. 12 D 54 23 13 24 39 30 25 37 21
(B) Find the MST by giving the sequence of edges in the order (i) Kruskal's algorithm specifies them, (ii)

5 The values for each line int main(void) int x 5, y 15 int p1, p2 p1 p2 p1 p2 x 1 y 2 10 3 p1 4 p1 p2 5 p1 p210 6 return 0 1 2 3 4 LO 5 CO X y p1 p2
5 The values for each line? int main(void) { } int x 5, y 15; int * p1, p2; p1 p2 = *p1 *p2 * &x; //1 &y; //2

(d) Consider the following propositional formulas Name F F F3 FA Formula Q (PQ) (P Q) (Q P) (QVP) V(PVQ) (PVQ) (Q P) i. (2 marks) Which of these formulas are logically equivalent ii. (2 marks) Which of these formulas are satisfiable
(d) Consider the following propositional formulas: Name F F F3 FA Formula Q (PQ) (P Q) (Q P) (QVP) V-(PV-Q)

(iii) A Personal Computer (PC) is integrated with cache memory to increase its performances. In its BIOS setup, the user has the option to enable or to disable the cache. When you enable the cache, the processor accesses main memory through the cache memory. When the cache is disabled, the processor directly accesses the main memory without using
(iii) A Personal Computer (PC) is integrated with cache memory to increase its performances. In its BIOS

Suppose the user enters 0 in the text field and click the button. What is the output of the following code if (tempty(POSTV)) echo Case I else echo Case 2
Suppose the user enters '0' in the text field and click the button. What is the output of the following code

4. Given your understanding of the fork() system call, what is the output of the following set of codes a. include include int main() fork() fork() fork() fork() printf(GingerBeer ) return 0 b. include include include void forkex() int main() 1 if (fork()0) printf(Ace this prac ) else printf(Fail this prac ) forkex() return 0 4 c. In question
4. Given your understanding of the fork() system call, what is the output of the following set of codes: a.

What is the output of the following program for acc in range (1, 18, 3) if acc 5 0 break if acc 3 0 acc 1 continue print (acc, end )
What is the output of the following program? for acc in range (1, 18, 3): if acc % 5 == 0: break if acc % 3

(b) Write a bash script which Has at least two command line arguments. If there are less than 2 command line arguments provided then an error message should be output. The first command line argument should represent the name of a directory in the users home area. If the directory doesnt exist, it should be created by the script. The remaining
(b) Write a bash script which: Has at least two command line arguments. If there are less than 2 command line

In a network using GoBackN protocol, the sender window size is 7, the values of variables are Sf 29, Sn 29, Sn 34, and Rn 31. Assume that the network does not duplicate or reorder the packets. What are the sequence numbers of data packets in transit Consider the standard meaning of Sf first outstanding 0 1 0 0 29 30 31 32 33 Sn next to send
the values of variables are Sf = 29, Sn 29, In a network using Go-Back-N protocol, the sender window size is

Given the following diagram, which of the following statement is correct Customer Loop for each package requestLabel (customerName) label processPayment (paymentinfo) confirmation System Select one O a. Only one label will be generated for all packages. O b. A payment is processed automatically after processing all packages. O c. This diagram
Given the following diagram, which of the following statement is correct: Customer Loop for each package

For the IP address 187.37.140.92 21, determine the value of the following items. IP Address Subnet mask Network Address Usable Host Range Broadcast Address Number of usable hosts 187.37.140.92
For the IP address 187.37.140.92 /21, determine the value of the following items. IP Address: Subnet mask:

Which of the circuits shown below are equivalent (i.e., the logic functions they implement have identical truth tables) (a) 104 U (b) O Figure (b) and Figure (d) O Figure (a) and Figure (c) O Figure (a) and Figure (d) O Figure (b) and Figure (c) (c) (d)
Which of the circuits shown below are equivalent (i.e., the logic functions they implement have identical

Write a C program to solve the following equations and print the result m y4.3 y2.5 1 y y 1 n y
Write a C program to solve the following equations and print the result: m=y4.3 + y2.5 +1 y n= + y y + 1

An algorithm complexity is given by 2 T (3) T(n) 2T (12) 2T n (a) Draw the recurrence tree for the algorithmic complexity (b) The tree is not full since it terminates on various levels. However, use an upper bound tree height to find the upper bound complexity of this algorithm. Try to find the geometric sequence and sum its terms
An algorithm complexity is given by 2 T (1/3) + T(n) = 2T (12) + +2T + n (a) Draw the recurrence tree for the

2. Consider the function (2) (rain (5)cas (5) xsin x 0, 10 Plot this function on Matlab. Then, try to interpolate f(x) with a Bezier. Try different degrees and see what is the minimum degree required to interpolate the curve with a satisfying accuracy.
2. Consider the function (2) - (rain (5)cas (5) = xsin() x = [0, 10] Plot this function on Matlab. Then, try

For the system given below, it is desired to adjust the opening and closing of the valve by generating a control input u to adjust the height (level) to ho, when h is the actual height. The total height is 100 cm. Do the following a) Define 5 fuzzy sets indicating the error in the height e hoh Using Crisp set. Also draw the membership functions.
For the system given below, it is desired to adjust the opening and closing of the valve by generating a

What is the output of the following code int x2,y3,z0 if(xy x) cout
What is the output of the following code: int x=2,y=3,z=0; if(x></a></div> </h2> </h2> </div> </div> <div class=

A school has several departments, a department has several majors, each major has only one class per year, and a unique class ID based on the year of enrollment, each class has a number of students, now establish such a relation R class (class ID, major name, department name, number of students, year of enrollment), answer the following question
A school has several departments, a department has several majors, each major has only one class per year,

Find and sketch the pareto optimal set. Minimize f(x0.75)(x22) and f(x2.5)(x21.5) Minimize f(x3)(x27) and f(x19)(x28) Minimize f(x100)(x2400) and f(x300)(x2100) Minimize f(x20)(x26) and f2(x14)(x243) Minimize f(x2000)(x25000) and f(x4500)(x28500)
Find and sketch the pareto optimal set. Minimize f=(x-0.75)+(x2-2) and f=(x-2.5)+(x2-1.5) Minimize

4. In many ways, cache memory and virtual memory are similar. But their purposes are different. For example, cache memory is for decreasing effective access time and virtual memory is for increasing address space. For example, a 16GB physical (or main) memory of a computer can be extended to 2TB using a secondary memory SSD or harddisk an address
4. In many ways, cache memory and virtual memory are similar. But their purposes are different. For example,

9. Using 16bit Normalized Floatingpoint notation having the format SEEEEEEMMMMMMMMM 8 a. Decode to decimal integer andor fraction) 0 100100 101001000 b. Decode to decimal integer andor fraction) 1 011100 110100000 c. Encode 732 d. Encode 12, 38
9. Using 16-bit Normalized Floating-point notation having the format SEEEEEEMMMMMMMMM: [8] a. Decode to

1 Newton Raphson method formula for the function f(Z) Zb. Equal (a). ZnZo 20 2o b 2Zo (b) Z 0.5(Zo) (c) Z Zo2 1 3A (33) and B(2) G 5 3 find AXB 3 0 4 2A(5) and B) find AB 1 5 3 2Zo (15 m.) (10 m.) (5 m.)
1- Newton Raphson method formula for the function f(Z) = Z-b. Equal (a). Zn-Zo - 20 2%o - b 2Zo (b) Z =

using modified Euler,s method, obtain the solution of the following ordinary differentiol equation y With the initial condition y(0)1 find y(0.4) in steps of 0.2 Q2)given dx (30marks) dyy100e(100(x1)) With the initial condition y(0.8) 4.9491 find y approximately at x 0.83,in three steps using Rungekutta method dx
using modified Euler,s method, obtain the solution of the following ordinary differentiol equation y With the

(a) The first term of a geometric sequence is 4, while 2 is the first term of an arithmetic sequence. If the common ratio of the geometric sequence equals the common difference of the arithmetic sequence and their third terms are equal, find the common ratio, common difference and the first four terms of both sequences. (b) A geometric progression
(a) The first term of a geometric sequence is 4, while 2 is the first term of an arithmetic sequence. If the

Consider the following resolution process P(x) P(f(x)) xf(a) P(f(a)) za P(f(a)) Which of the following proposition is TRUE O (A) The above resolvent process is incorrect. (B) The above resolvent process is correct. O (C) The applied substitutions are legal. O (D) All of the above are FALSE.
Consider the following resolution process: {P(x)} {P(f(x))} [x/f(a)] {P(f(a))} [z/a] {-P(f(a))} Which of the

Consider the following PROLOG program. male (henry). male (tom). married (tom). bachelor (P) male (P), not (married (P)). What would it be the incorrect result of the following query (A) bachelor(henry). true (B) bachelor(tom). false (C) bachelor(Who). Who henry Who joe false (D) married (X). Xtom O (A) O(B) O (C) O (D)
Consider the following PROLOG program. male (henry). male (tom). married (tom). bachelor (P): male (P), not

(a) What is the least positive value of such that 89 (1 3) (mod 4) (b) If I is congruent to 11 modulo 19 then, 713 is congruent to which number modulo 19 (c) Evaluate 97 mod 11. (d) Find the modulo 4 residue of 311. (e) What is the the remainder of 17 x 18 when it is divided by 19. Show your working.
(a) What is the least positive value of such that 89 = (1 + 3) (mod 4)? (b) If I is congruent to 11 modulo 19

For the following binary search tree (BST) 2 3 5 6 7 8 10 9 11 12 a. b. Balance the tree such that it becomes an AVL tree. Draw the resulting tree after each rotation that occurs when balancing. If the root node of the balanced AVL tree is removed, which node should go to the root so that the balance of the tree is preserved
For the following binary search tree (BST): 2 3 5 6 7 8 10 9 11 12 a. b. Balance the tree such that it

Evaluate the integral N6. 0.5 X sin(x) . dx using trapezoidal rule taking
Evaluate the integral N=6. -0.5 X sin(x) . dx using trapezoidal rule taking

A lab classroom at a university will have 40 computers installed in the room. Each computer uses a BIOS. State which BIOS passwords should be configured on these computers and which should not, and for each choice briefly explain why it should or should not be configured. (2 points) Q4. Briefly describe one (1) physical security control that
A lab classroom at a university will have 40 computers installed in the room. Each computer uses a BIOS.

5. 5 For the following code please provide the values of the variables value and list using the following parameter passing methods. void swap (int a, int b) int temp temp a a b b temp a) PassbyValue b) Passby Reference c) PassbyValueResult void main() int value 2, list 5 1, 3, 5, 7, 9 swap (value, list 0) swap (list 0, list1) swap(value,
5. [5] For the following code please provide the values of the variables value and list using the following

(a) The following figure defines four functions f A B, f2 BC, f3 CD and f D E A B C D a b. 2 3 i. injective 4 f f Which of the functions are 1. S H ii. surjective explain your answer to get a full mark. 43 f4 E X y N
(a) The following figure defines four functions: f: A B, f2 BC, f3: CD and f : D E A B C D a b. 2 3 i.

When stock become a liability South African company New era solutions is helping its clients to reduce stock. Working with their partners Epicor Software Corporation, New Era offers warehouse management systems to control the movement and storage of materials in a warehouse and process goods coming into the warehouse and leaving it. Warehouse

Write a Java program to read the data and determine the following. a) Total marks obtained by each student b) The highest marks in each subject and the studentid of the student who scored high marks. c) The student who obtained the highest total marks
Write a Java program to read the data and determine the following. a) Total marks obtained by each student b)

Let (E,D) be a semantically secure cipher where the message and ciphertext space is 0, 1. For the following encryption scheme E, state whether it is semantically secure. If it is, then prove its semantic security by using contrapositive (or if there is an attacker A to break E then it is possible to design an attacker B to break E using attacker
Let (E,D) be a semantically secure cipher where the message and ciphertext space is {0, 1}

4. A 5coloring sequence of length n (with n 1) is a sequence of the colors red, blue, green, yellow, and violet (R.B,G,Y,V) such that no color occurs in two consecutive entries. Here are 2 examples of length 8 5coloring sequence RBGYVRBG, BRBRBRVY,(a) (3 points) How many 5coloring sequences of length n are there (give a brief justification.) (b)
4. A 5-coloring sequence of length n (with n 1) is a sequence of the colors red, blue, green, yellow, and(a) (3 points) How many 5-coloring sequences of length n are there? (give a brief justification.) (b) (3

a. Apply the Brute force algorithm to find the minimum cost Hamiltonian circuit on the graph below (10 Marks) b 6 S S 15 d 14 7 10 8 CO 12 g 30 20
a. Apply the Brute force algorithm to find the minimum cost Hamiltonian circuit on the graph below (10 Marks)

For figure 03, answer the followings (64414) a) Indicate the three topologies of network is being used marked by the alphabets A, B C and justify your answer. b) Indicate the Interconnecting Devices used in this network and discuss their functionality. If all the Interconnecting Devices are arranged in a fully connected mesh topology, find how
For figure 03, answer the followings: (6+4+4=14) a) Indicate the three topologies of network is being used

For the circuit below, Vs(t)x sin (2n50 t) with is the last two numbers of your ID. If VDO 0.6 V (constant voltage drop), 1. Analyze the circuit by explaining when the diode is ON and when the diode is OFF. 10 points 2. Calculate the peak diode current. 10 points 3. Sketch Vs(t) and Ip(t). (Horizontal and vertical axis should be detailed with the
For the circuit below, Vs(t) = x sin (2n50 t) with is the last two numbers of your ID. If VDO = 0.6 V

Suppose we have n kernel functions Kj(,), j 1, ..., n such that there are n implicit highdimensional feature maps Rd RD RD j 1, ... , n that satisfies Vx, z E Rd, Kj(x, z) ( (x), j(z)), where (0(x), j(z)) , (x) (z) is the dot product (a.k.a. inner product) in the Ddimensional space. (.) i1 denotes the ith dimension of the jth mapped
Suppose we have n kernel functions Kj(,), j = 1, ..., n such that there are n implicit high-dimensional

1. (1p) Compose assembly instructions that will set only the Z flag. 2. (1p) Compose assembly instructions that will set only the N flag. 3. (1p) Compose assembly instructions that will set only the C flag. 4. (1p) Compose assembly instructions that will set only the V flag. 5. (3p) Design an algorithm for counting the number of 1s in a 32bit
1. (1p) Compose assembly instructions that will set only the Z flag. 2. (1p) Compose assembly instructions

Consider the following datasets Instances instance 1 instance 2 instance 3 instance 4 instance 5 Attribute 1 0.8 1.4 1.2 6.2 6.8 instance 6 Attribute 2 6.3 8.1 7.4 14.3 11.6 (a) Based on the Euclidean distance, what is the classification for the following unseen attributes using three nearest neighbors 3NN 3.2 Class Positive Negative Positive
Consider the following datasets: Instances instance 1 instance 2 instance 3 instance 4 instance 5 Attribute 1

Express the complexity in Big O notation for the following. Show your work and all details. Void Function(int A, int n) if (A 15) for (sn s0 s2) for (tn t0 t) A else int sum 0 for (i 0 i
Express the complexity in Big O notation for the following. Show your work and all details. Void Function(int

Consider the following recurrence. T(n) 5 if 1 n 3, (2nT() T() T() if n 3. (a) (2 marks) What is the solution to this recurrence Your answer must be as precise as possible. You must write your answer using the bigO notation. (b) (8 marks) Prove that your answer is correct. You must use a proof by induction. You cannot use the Master Theorem.
Consider the following recurrence. T(n) = 5 if 1 n 3, (2n+T() +T() +T() if n ></a></div> </h2> </h2> </div> </div> </div> <!--See More Section Button--> <!--See More Question Section--> </div> </div> <!--End of the left section--> </div> <!--Vacant Division --> <div class=