LAB3

#1: Suppose you have a real number variable x. Write a Java expression that computes the following value y while using the * operator less than equal to four times to compute x⁴, x³, and x². (Hint: please consider using variables.) The uses of * operator for coefficient multiplication are not counted. (2pt) (You don't need to use a loop structure for this question.)

y = 12.3x⁴ - 9.1x³ + 19.3x² - 4.6x + 34.2

Write a complete program for the above program task.

The use of * operator for numeric multiplication is expected.

To write a program, you may consider using variables, initialized by any number, for example 5 or 10 for variable x. The program is supposed to print out the correspondent y value (result) typed double.

#2: Complete the following code, replacing the "FINISH ME" parts with your own code to generate the following output: (2pt)

public class Count2 {

public static void main(String[] args) {

for (int i = /* FINISH ME */ ) {

System.out.println( /* FINISH ME */ );

}

}

}

Expected output:

2 times 1 = 2

2 times 2 = 4

2 times 3 = 6

2 times 4 = 8

#3: What is the output of the following sequence of loops? (2pt)

for (int i = 1; i <= 2; i++) {

for ( int j = 1; j <= 3; j++) {

for ( int k = 1; k <= 4; k++) {

System.out.print("*");

}

}

System.out.print("!");

System.out.println();

}

#4: Write a program to draw the following ASCII art. Please consider develop a table that determines the expressions for the number of each type of character on each of the 6 lines in the following output. You need to apply the expressions to the nested loops. (2pt)

!!!!!!!!!!!!!!!!!!!!!!

\\!!!!!!!!!!!!!!!!!!//

\\\\!!!!!!!!!!!!!!////

\\\\\\!!!!!!!!!!//////

\\\\\\\\!!!!!!////////

\\\\\\\\\\!!//////////

#5: Write a program which contains nested for loops to produce the following output: (2pt)

1 // 4-space

2 // 3-space

3 // 2-space

4 // 1-space

5 // no space * Note that the attached comments are optional.

* Extra Work ( 2-credit). Complete Mirror class that was given in class material (Chapter 2) with additional methods. The following shows the structure of the class, Mirror Remark: You are expected to declare constant variable and use the constant within the methods.

public class Mirror {

public static final int SIZE = 4;

public static void main(String[] args) {

line();

topHalf();

bottomHalf();

line();

}

public static void topHalf() {

for (int line = 1; line <= 4; line++) {

// contents of each line

}

}

public static void bottomHalf() {

for (int line = 1; line <= 4; line++) {

// contents of each line

}

}

public static void line() {

// ...

}

}