Q8 Use the sandwich theorem to show that 1 sin xcos 0 lim

V1xV1x sin x 2 lim X0 tanx 1 lim

TABLE 1: Manning n for various channel types Channel description n Clean, straight, no rapids or pools 0.035 Clean,

Q1 a Find the intrinsic equations for a t sint 1 cost t b Derive the metric for x x2 where x 2x2 x x x 3x Also

Q3 Find the following for the hyperboloid of one sheet a First and second fundamental forms b Normal curvature c

find the intrinsic equation of x= {t-sin(t), 1-cos(t), t}

A sub-contractor needs to decide which companies they should hire for each type of building they want to construct.

Building Excavating Framing Plumbing Electrical Finishing Office 45 200 88 32 312 Space School 56 250 47 38 270

Q1 a Find the intrinsic equations for a t sint 1 cost t b Derive the metric for x x2 where x 2x x2 x x 3x Also

Q2 Verify the GaussWeingarten equations for the torus

Based on the prior experience and the community needs they estimate the following volume of diagnostic exams by

Q2 For the function f graphed in the figure below find lim fx x3 2 2 2 4

if x 1 if x 1 Q3 Let fx Discuss the discontinuity of fx at x 1 x 2 2 x if 1 2

?

Eahad makes hand crafted photo frames to sell them in the local market in his leisure time He has a daily demand of 200

Two vertices v and w in a graph G are said to be 2-edge-connected if the removal of any edge in the graph leaves v and

Bramble Company compiled the following financial information as of December 31, 2018: Revenues $348000 Retained

2x Q7 Find the vertical asymptote and the horizontal asymptote of fx x x 6

2 12 10 lim x6 x6

QUESTION NO 2 MANDATORY 6 POINTS Explain why a polynomial of odd degree at least 1 will always have at least one real

1b) Your academic calendar has been distracted by the global COVID-19 pandemic, such that, you are to teach your class

Find a potential client (friend, family member, current training client, yourself) and initiate an initial assessment.

Find the mean, median and mode of the following: (Explain your math work) Presto Printing Company sales for the month

Five people who were convicted of speeding were ordered by the court to attend a workshop. A special device put into

Assume that a perfectly elastic membrane producing resistance to its motion proportional to the twice of velocity. The

Nick has lost faith in the banks and has decided to diversify his portfolio by keeping some money under his mattress.

The daily newspaper America at a Glance has just released the results of a study of 50 students who completed

Frequency 20 16 15 12 12 10 5 5 5 550 600 650 Mathematics test score 700 750 800

The two wires are connected together at A. If the force P causes point A to be displaced horizontally 2 mm, determine

C B 30 30 300 mm 300 mm A P

3 Study the continuity of hx 2 marks I4 hr 3r 9

Joe Bob Coffee is one of the Pacific Northwest\'s many fine publicly traded coffee companies. Joe Bob Coffee\'s

Gaussian approximation find the probabilities of getting 100 200 and 300 heads 20 2 A system having nondegenerate

6 Find the cumulative distribution function and the density if it exists of a random variable X defined on N 0 1 by

Medical researchers commonly report the effects of a treatment or describe relationships between variables. Treatment

0 1 Use this density to find the expectation and the variance of X 7 Find the cumulative distribution function and the

You are the financial risk manager at Freedom Power in Butte Montana. In terms of heating degrees days H, your profits

Monthly data for a plastic container for a period of 10 months is given below: a) Use an exponential smoothing with no

Month Demand 335 2 420 3 485 450 in 470 6 630 7 650 700 680 10 640

For this problem ignore spontaneous emission Consider a particle of mass m and charge q in a 1dimensional box of length

Most people have been to a grocery store. Even if you still live at home and your parents do the grocery shopping, it

A manufacturing company produces electric insulators. You define the variable of interest as the strength of the

1870 1728 1656 1610 1634 1784 1522 1696 1592 1662 1866 1764 1734 1662 1734 1774 1550 1756 1762 1866 1820 1744 1788 1688

Construct a multi-criteria decision analysis formulation for the decision (real or hypothetical) that you face. Your

A regional hospital wishes to solve the following nurse scheduling problem. The average nightly demand for ICU nurse is

Minimize x1 x2 x3 x4 x5 x6 x7 Subject To x1 x1 x2 x1 x2 x3 x1 x2 x3 x4 x1 x4 x5 x6 x7 15 x5 x6

Using the returns for the Bledsoe Large-cap stock fund and the Bledsoe Bond fund, graph the opportunity set of feasible

Q Jan 31 John could not pay the maintenance expense worth 2000 and the expenses are still dueoutstanding Required 1

identify for the activity cost driver that will incurred when the company make the pencil and give your explanation or

The activities when making the pencil are divided into 4 chapters The Leads Mixing graphite clay Pressing the leads

This question will have you calculating 2 EOQ and ROP values and interpreting the results. For both EOQ and ROP, give

Joe and Lauren are married, and they are filling their 2020 federal income taxes jointly. Suppose $75 is deducted from

The comparative balance sheets for 2021 and 2020 are given below for Surmise Company Net income for 2021 was 54 million

This is the Topics 1Introduction to probability 2Venn and tree diagrams 3Multiplication of choices permutation

using laplace transform

Solve the following initial Value Problems

Solve the following Ordinary differential equation 2xtanydx x sec ydy 0

Solve the following Bernoulli initial value problem y0 2 y 5y e2y2

6 31 4j 7k a Given li 3j 2k and projz Compute b Find a vector that is orthogonal to the plane containing the

Use GaussJordan Elimination to find the inverse of the matrix 4 0 A 8 12 6

Solve the following Ordinary differential equation x2 ydx 2xydy 0

a Find the angle between the two vectors li 2j k and b 3i 2j 4k b Determine the value of b so that the vectors

Solve the following Bernoulli initial value problem y y ay y2 1 3D

A Consider the expression 7 2 32 x 4 9 2 x 2 1 Draw the binary tree 2 pts 2 Write the post order search of this

Let A 1234 and Ra relations on A whose matrices is i01 11 01111 Me 0 0 111 00011 0 0 0 0 1 A Show that A R is a poset 4

using CauchyRiemann Equations

349 Prove that if w fz u iv is analytic in a region R then dwdz dwdx idway

One of your clients is a sales manager in charge of sales territories scattered around the US. The sales manager

Territory Rating 11 49 12 51 13 29 14 34 15 46 21 52 22 41 23 23 31 39 32 28 31 42 43 42 25 wwww 33 34 41 42 5 61 62 63

Let z x iy What would be Im12 Select one x2 y2 x2 y2 y x2 y y x2 y2

In which condition the Cauchys integral theorem does not apply on the given function 1 fz 2z 1 Select one O z 05

Solutions of Laplace\'s equation having a continuous second order partial derivatives are called _______ Select one:

A function vis called a conjugate harmonic function for a harmonic function u whenever Select one O vis analytic O uis

In which condition the Cauchys integral theorem does not apply on the given function f2 Select one O z 05 lies inside

Integrating by Cauchys integral formula counterclockwise around the circle Iz i 1 gives Select one O pii O 2lpiji O

Integrating z2 zp counter clockwise around C Iz 11 2 gives Select one O 2piji 4pii O 8piji O 6pii

4z 6 zz 102 Izl 3 counter clockwise and Izl 1 dockwise For given function f2 which of the singularity points lie

The roots of the complex equation are: Select one: z = i, z = 1 + i z = 1, z = 1 - i z = i, z = -1 - i z = -1, z = -1 -

1 i100 can be expressed as Select one 2100 cos100n isin100m 25 cos25x isin25x 20 cos100n isin100m O 210 cos25n

Evaluate the integral along the three different paths 25 3x ydx 2y xdy 01 i The curve y x2 1 ii Straight line

ux y x2 y 2xy 2x 3y For the following function a Determine whether the function is harmonic b If it is harmonic

Prove that all rotations and translations form a subgroup of the group of all reflections and products of reflections

b Integrate by the first method or state why it does not apply and use the second method Show the details secz dz C is

Interest Rate Options, On May 15 an investor anticipates that he would need to borrow 10,000,000 Singapore dollars on

1. A student drives 40.00 km south in an attempt to get to a science fair competition before realizing he missed the

Question 5 1 point A student drives 4000 km south in an attempt to get to a science fair competition before realizing

a Find and graph all roots in Complex Plane k1 V1 i

b Determine and sketch the sets in the complex plane given by 3 z 1 kil 2

Expected Price Promotion 3.78 1 3.82 1 4.18 1 4.46 1 4.31 1 4.56 1 4.36 1 4.54 1 3.89 1 4.13 1 3.97 1 4.38 1 3.98 1

If a supermarket product is offered at a reduced price frequently do customers expect the price of the product to be

Verify whether the CauchyRiemann equations are satisfied for the following function sinhkz

Transformation Let the rectangular region R given in the figure below in the zplane be bounded by x 0y 0x 2 y 1 z

Compare the total cost of ownership for the purchase of two personal vehicles of your choice (use two that are

17 fx gx The partial fraction decomposition of can be written in the form of x1x2 21 3 The possible anwsers for fx and

Express the given product as a sum containing only sines or cosines 170 sin 170 sin COS COS

a Find the surface area only exterior faces and the volume of the composite solid given box your answer 16 cm 5cm 6cm

for 13 121x15y 214c2c 35p129 Factor the following difference of Squares for 7 79264 82289 9 m 81

a Find the surface area only exterior faces and the volume of the composite solid given box your answer 16 cm 5cm 6cm

Suppose a floating point system is characterized by 2 p 4 LU 34 What is the OFL and UFL

a If 80000 is invested at 8 compounded annually find the future value in 2 years 93312 Simplify your answer Round to

Given the Inscribed circle with center K which statement can you NOT conclude A XK YK B ZNZKZOZK C NK LYZ D MKOK M

Solve the following differential equations by finding the general solution first then the particular one th satisfies

The side length of an equilateral triangle is 6 cm What is the height of the triangle 3 3 cm 6 cm O33 33 cm 63 cm

Question 35 Given the trigonometric function defined by fx 3 sin6x 1 What is the amplitude of the function 3 2 What

In one recent year the mean price of all new homes sold in the United States was 372500 The median price on the other

The following figure shows that 5by5 square tiles can be used to cover a floor that measures 30 by 70 Each square in

ou are going on a vacation that will cost 8000 You plan to pay for it using an installment plan but only want to

4 Describe two different ways to graph the equation y 1005 without using a calculator Which methods do you prefer Why

Suppose that a n 1 is a sequence defined by a1 a 3 and aaa2 Vk23 Prove that Vn1 we have a s 9

Graph the solution set of the system of linear inequalities and indicate whether the solution region is bounded or

A professor is interested in the average length of books in her library She has divided her books into a few different

2 a D The Fourier series of the function fx 14 0 12 0

26 In parallelogram ABCD shown below the bisectors of ZABC and DCB meet at E a point on AD If mZA 68 determine and