Find the arc length function for the curve y = 2x^3/2 with starting point p0(36, 432).

Step-by-step explanation:

When considering a curve defined by a function f(x) and its respective derivative f'(x) that are continuous in an interval [a, b], the length s of the arc delimited by a and b is given by the equation:

First, let's find the derivate of y(x):

Replacing the derivate in the previous equation:

Substitute u=1+9x and du=9x, so:

The antiderivative of is:

u=1+9x, so:

Evaluating the antiderivative at the limits:

answer: a

step-by-step explanation: