(adsbygoogle = window.adsbygoogle || []).push({}); 1. Let f be the function given by f(x) = e^{x}+ 1, where the region R is bounded by the graph of f(x), the y-axis, and the horizontal line y=4.

2. Relevant equations

a. Find the area of region R.

b. A vertical line x=h, where h>o is chosen so that the area of the region bounded by f(x), the y-axis, the horizontal line y=4, and the line x=h is half the area of the region R. What is the value of h?

c. Find the volume of the solid formed when region R is rotated about the line y=4.

d. A horizontal line y=k, where k is greater than 4 is chosen so that the volume of the solid formed when region R is rotated about the line y=k is twice the volume of the solid found in part (c). Set up, but do not evaluate, an integral expression in terms of a single independent variable which represents the volume of this solid.

3. The attempt at a solution

I found part a and b..

a.) 1.296

b.) h=.361

I'm drawing a blank about c, when I draw the graph reflected about y=4, would it be illogical to simply multiply the area given in (a) by 2?

And I can't move on without being sure of c.. so that is where I am, haha.

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# Homework Help: Application of Integration- help!

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