Calculus I - Week 15 Homework

Paper Exercises

None.

Written HW, due Friday 12/6 by 11:59pm

Question 15-01

01

Volume of solid of revolution

Consider the region bounded by the curves $y=x$ and $y=x^2$. This region is revolved around each of the axes below. For each axis, set up the integral (do not integrate) giving the volume of the solid of revolution.

• (a) The $x$-axis.
• (b) The $y$-axis.
• (c) The line $y=2$.
• (d) The line $x=1$.

For each axis, include a sketch of the region and an example of disk or washer.

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Question 15-02

02

Volume of solid of revolution

Consider the region bounded by the curves $y=x$ and $y=4x-x^2$. This region is revolved around each of the axes below. For each axis, set up the integral (do not integrate) giving the volume of the solid of revolution.

• (a) The $x$-axis.
• (b) The line $y=4$.

For each axis, include a sketch of the region and an example of disk or washer.

Link to original

Presentation Problems

None.