"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?

A curve is such that the area bounded between the curve, the y-axis, the x-axis and the line parallel to the x-axis passing through P(x, y) is equal to x + y. Find the equation of the curve.

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