(General math) a. Design, write, compile, and run a C++ program to calculate the volume of a sphere with a radius, r, of 2 in. The volume is given by this formula: Volume=4r33 b. Manually check the values computed by your program. After verifying that your program is working correctly, modify it to determine the volume of a cube with a radius of 1.67 in.

(Physics) a. Design, write, compile, and run a C++ program to calculate the elapsed time it takes to make a 183.67-mile trip. This is the formula for computing elapsed time: elapsedtime=totaldistance/averagespeed The average speed during the trip is 58 mph. b. Manually check the values computed by your program. After verifying that your program is working correctly, modify it to determine the elapsed time it takes to make a 372-mile trip at an average speed of 67 mph.

(Practice) Determine the value of the following floating-point expressions: a.3.0+4.06.0b.3.04.0/6.0+6.0c.2.03.0/12.08.0/4.0 d.10.0( 1.0+7.03.0)e.20.02.0/6.0+3.0f.20.02.0/( 6.0+3.0)g.( 20.02.0)/6.0+3.0h.( 20.02.0)/( 6.0+3.0)

(Practice) Run Program 7.10 to determine the average and standard deviation of the following list of 15 grades: 68, 72, 78, 69, 85, 98, 95, 75, 77, 82, 84, 91, 89, 65, and 74.

(General math) a. Write a C++ program to calculate and display the value of the slope of the line connecting two points with the coordinates (3,7) and (8,12). Use the fact that the slope between two points with the coordinates (x1,y1)and(x2,y2)is(y2y1)/(x2x1). b. How do you know the result your program produced is correct? c. After verifying the output your program produces, modify it to determine the slope of the line connecting the points (2,10) and (12,6). d. What do you think will happen if you use the points (2,3) and (2,4), which results in a division by zero? How do you think this situation can be handled? e. If your program doesn’t already do so, change its output to this: The value of the slope is xxx.xx The xxx.xx denotes placing the calculated value in a field wide enough for three places to the left of the decimal point and two places to the right of it.

For each of the following statements, state whether it is True or False.

State whether each of the following is true or false. If false, explain why f) C considers the variables number and NuMbEr to be identical.

Fill in the blanks to rewrite the following statement: c. If x___________, then ________.