Question

The point P (x, y) is moving along the curve y = x² -10/3 x^3/2+ 5x in such a way that the rate of change of y is constant.

Find the values of x at the points at which the rate of change of x is equal to half the rate of change of y.

Answer 1

To find the points where the rate of change of x is half the rate of change of y, we need to solve the equations:

dy/dx = k

dy/dt = k

where k is a constant representing the rate of change.

Explanation: