Answer true or false. The area of the surface generated by revolving the curve x = t², y = t + 4, 0 $\le$t $\le$ 1 about the x-axis is given by .

Question

Quizplus · Accepted Answer

The surface generated by revolving the curve about the x-axis is a frustum of a cone with base radius equal to the distance from the curve to the x-axis, and top radius equal to the distance from the point (0,4) to the x-axis. Using integration, the formula for the surface area of a frustum of a cone can be derived, which matches the expression given in the answer choices.

Answer True or False ≤\le≤ T ≤\le≤ 1 About the X-Axis Is Given by

Answer True or False $\le$ T $\le$ 1 About the X-Axis Is Given by