Question
Asked Jan 22, 2020
28 views

Find the volume of the solid generated by re-volving the region in the first quadrant bounded by the coordinate axes, the curve y = e-x, and the line x = 1

a. about the y-axis.

b. about the line x = 1.

check_circle

Expert Answer

Step 1

We need to find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e-x, and the line x = 1.

  1. about the y-axis.

So, the graphical representation looks like the following where the intersection point of the curve y = e-x, and the line x = 1 is also shown.

Calculus homework question answer, step 1, image 1
fullscreen
Step 2

So, the volume is given by,

Calculus homework question answer, step 2, image 1
fullscreen
Step 3

Now,

  1. about the line x = 1.

So, the graphical representation looks like the following where the intersection ...

Calculus homework question answer, step 3, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Other

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add