"Calculate the volume of revolution: f(x) = 4x = x², g(x) = x, - bounded by the lines x = 0.2, x = 3 along the x-axis and the y-axis."

The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?

Find the area bounded by the curve y = x exp(-x²), the x-axis and the vertical line passing through the maximum coordinate

Use a change of variables to find the area of the curved rectangle above the x-axis bounded by x=4-y2/16, x=9-y2/36, x=y2/4-1, and x=y2/64-16.