Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = (4/9) x^2, y = (13/9) − x2; about the x-axis

V = 8.06 cubed units

Step-by-step explanation:

You have the following curves:

In order to calculate the solid of revolution bounded by the previous curves and the x axis, you use the following formula:

      (1)

To determine the limits of the integral you equal both curves f=g and solve for x:

Then, the limits are a = -1 and b = 1

You replace f(x), g(x), a and b in the equation (1):

The volume of the solid of revolution is approximately 8.06 cubed units

answer: 1, 3 and 5 are correct

step-by-step explanation: