Problem 1 Implement a function that checks if a number is within a given range. It should accept the range (minimum value and maximum value) and the value to be checked (Xmin s Xs Xmax). The function will return true if the given value is within that range, otherwise will return false. Problem 2 Write a program that will read in a length in feet and inches and output the equivalent length in meters and centimeters. Use at least three functions: one for input, one or more for calculating (consider one to do the opposite conversion), and one for output. Include a loop that lets the user repeat this computation for new input values until the user says he or she wants to end the program. There are 0.3048 meters in a foot, 100 centimeters in a meter, and 12 inches in a foot. Problem 3 In physics, an object that is in motion is said to have kinetic energy. The following fomula can be used to determine a moving object's kinetic energy: KE - % m v The variables in the formula are as follows: KE is the kinetic energy, m is the object's mass in kilograms, and v is the object's velocity, in meters per second. Write a function named kineticEnergy that accepts an object's mass (in kilograms) and velocity (in meters per second) as arguments. The function should return the amount of kinetic energy that the object has. Demonstrate the function by calling it in a program that asks the user to enter values for mass and velocity.

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Problem 1
Implement a function that checks if a number is within a given range. It should accept the range
(minimum value and maximum value) and the value to be checked (Xmin s X < Xmax). The
function will return true if the given value is within that range, otherwise will return false.
Problem 2
Write a program that will read in a length in feet and inches and output the equivalent length in
meters and centimeters. Use at least three functions: one for input, one or more for calculating
(consider one to do the opposite conversion), and one for output. Include a loop that lets the user
repeat this computation for new input values until the user says he or she wants to end the program.
There are 0.3048 meters in a foot, 100 centimeters in a meter, and 12 inches in a foot.
Problem 3
In physics, an object that is in motion is said to have kinetic energy. The following formula can be
used to determine a moving object's kinetic energy:
KE = % m v
The variables in the formula are as follows: KE is the kinetic energy, m is the object's mass in
kilograms, and v is the object's velocity, in meters per second. Write a function named
kineticEnergy that accepts an object's mass (in kilograms) and velocity (in meters per second) as
arguments. The function should return the amount of kinetic energy that the object has.
Demonstrate the function by calling it in a program that asks the user to enter values for mass and
velocity.
Problem 4
The following formula gives the distance between two points, (x1, yl) and (x2, y2) in the Cartesian
plane:
V(x2 – x1)² + (yz – y)²
Given the center and a point on the circle, you can use this formula to find the radius of the circle.
Write a program that prompts the user to enter the center and a point on the circle. The program
should then output the circle's radius, diameter, circumference, and area. Your program must have
at least the following functions:
a) distance: This function takes as its parameters four numbers that represent two points in the
plane and returns the distance between them.
b) radius: This function takes as its parameters four numbers that represent the center and a point
on the circle, calls the function distance to find the radius of the circle, and returns the circle's
radius.
c) circumference: This function takes as its parameter a number that represents the radius of the
circle and returns the circle's circumference. (If r is the radius, the circumference is 2r.)
d) area: This function takes as its parameter a number that represents the radius of the circle and
returns the circle's area. (If r is the radius, the area is nr2.) Assume that a= 3.1416
Transcribed Image Text:Problem 1 Implement a function that checks if a number is within a given range. It should accept the range (minimum value and maximum value) and the value to be checked (Xmin s X < Xmax). The function will return true if the given value is within that range, otherwise will return false. Problem 2 Write a program that will read in a length in feet and inches and output the equivalent length in meters and centimeters. Use at least three functions: one for input, one or more for calculating (consider one to do the opposite conversion), and one for output. Include a loop that lets the user repeat this computation for new input values until the user says he or she wants to end the program. There are 0.3048 meters in a foot, 100 centimeters in a meter, and 12 inches in a foot. Problem 3 In physics, an object that is in motion is said to have kinetic energy. The following formula can be used to determine a moving object's kinetic energy: KE = % m v The variables in the formula are as follows: KE is the kinetic energy, m is the object's mass in kilograms, and v is the object's velocity, in meters per second. Write a function named kineticEnergy that accepts an object's mass (in kilograms) and velocity (in meters per second) as arguments. The function should return the amount of kinetic energy that the object has. Demonstrate the function by calling it in a program that asks the user to enter values for mass and velocity. Problem 4 The following formula gives the distance between two points, (x1, yl) and (x2, y2) in the Cartesian plane: V(x2 – x1)² + (yz – y)² Given the center and a point on the circle, you can use this formula to find the radius of the circle. Write a program that prompts the user to enter the center and a point on the circle. The program should then output the circle's radius, diameter, circumference, and area. Your program must have at least the following functions: a) distance: This function takes as its parameters four numbers that represent two points in the plane and returns the distance between them. b) radius: This function takes as its parameters four numbers that represent the center and a point on the circle, calls the function distance to find the radius of the circle, and returns the circle's radius. c) circumference: This function takes as its parameter a number that represents the radius of the circle and returns the circle's circumference. (If r is the radius, the circumference is 2r.) d) area: This function takes as its parameter a number that represents the radius of the circle and returns the circle's area. (If r is the radius, the area is nr2.) Assume that a= 3.1416
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