Answer:
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: