= x³, y = 8, x = 0. Let R be the region bounded by the curves y = x³ 1. Sketch the region and find the area. Write your answer in simplest fractional form. 2. Sketch the solid you obtain by rotating the region R about the x-axis. 3. Find the volume of the solid obtained by rotating the region R about the x-axis using the disk/washer method. Write the formula you are using. Write your answer in terms of π. Draw the approximating rectangle that you rotate. 4. Find the volume of the solid obtained by rotating the region R about the x-axis using the shell method. Write the formula you are using. Write your answer in terms of π. Draw the approximating rectangle that you rotate. 5. Which method did you find easier and why? [There is no wrong answer for what you find easier, but explain.] 6. Sketch the solid you obtain by rotating the region R about the y-axis. 7. Find the volume of the solid obtained by rotating the region R about the y-axis using the disk/washer method. Write the formula you are using. Write your answer in terms of π. Draw the approximating rectangle that you rotate. 8. Find the volume of the solid obtained by rotating the region R about the y-axis using the shell method. Write the formula you are using. Write your answer in terms of л. Draw the approximating rectangle that you rotate. 9. Which method did you find easier and why? [There is no wrong answer for what you find easier, but explain.]
= x³, y = 8, x = 0. Let R be the region bounded by the curves y = x³ 1. Sketch the region and find the area. Write your answer in simplest fractional form. 2. Sketch the solid you obtain by rotating the region R about the x-axis. 3. Find the volume of the solid obtained by rotating the region R about the x-axis using the disk/washer method. Write the formula you are using. Write your answer in terms of π. Draw the approximating rectangle that you rotate. 4. Find the volume of the solid obtained by rotating the region R about the x-axis using the shell method. Write the formula you are using. Write your answer in terms of π. Draw the approximating rectangle that you rotate. 5. Which method did you find easier and why? [There is no wrong answer for what you find easier, but explain.] 6. Sketch the solid you obtain by rotating the region R about the y-axis. 7. Find the volume of the solid obtained by rotating the region R about the y-axis using the disk/washer method. Write the formula you are using. Write your answer in terms of π. Draw the approximating rectangle that you rotate. 8. Find the volume of the solid obtained by rotating the region R about the y-axis using the shell method. Write the formula you are using. Write your answer in terms of л. Draw the approximating rectangle that you rotate. 9. Which method did you find easier and why? [There is no wrong answer for what you find easier, but explain.]
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.13: Using Factoring To Solve Problems
Problem 27P
Related questions
Question
![= x³, y = 8, x = 0.
Let R be the region bounded by the curves y = x³
1. Sketch the region and find the area. Write your answer in simplest fractional form.
2. Sketch the solid you obtain by rotating the region R about the x-axis.
3. Find the volume of the solid obtained by rotating the region R about the x-axis
using the disk/washer method. Write the formula you are using. Write your answer
in terms of π. Draw the approximating rectangle that you rotate.
4. Find the volume of the solid obtained by rotating the region R about the x-axis
using the shell method. Write the formula you are using. Write your answer in
terms of π. Draw the approximating rectangle that you rotate.
5. Which method did you find easier and why? [There is no wrong answer for what
you find easier, but explain.]
6. Sketch the solid you obtain by rotating the region R about the y-axis.
7. Find the volume of the solid obtained by rotating the region R about the y-axis
using the disk/washer method. Write the formula you are using. Write your answer
in terms of π. Draw the approximating rectangle that you rotate.
8. Find the volume of the solid obtained by rotating the region R about the y-axis using
the shell method. Write the formula you are using. Write your answer in terms of
л. Draw the approximating rectangle that you rotate.
9. Which method did you find easier and why? [There is no wrong answer for what
you find easier, but explain.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fceff0366-e600-4c18-833e-ef8248db6a44%2Fac67e02e-5326-454b-97db-f7614a7a1168%2Fe6yj1bl_processed.png&w=3840&q=75)
Transcribed Image Text:= x³, y = 8, x = 0.
Let R be the region bounded by the curves y = x³
1. Sketch the region and find the area. Write your answer in simplest fractional form.
2. Sketch the solid you obtain by rotating the region R about the x-axis.
3. Find the volume of the solid obtained by rotating the region R about the x-axis
using the disk/washer method. Write the formula you are using. Write your answer
in terms of π. Draw the approximating rectangle that you rotate.
4. Find the volume of the solid obtained by rotating the region R about the x-axis
using the shell method. Write the formula you are using. Write your answer in
terms of π. Draw the approximating rectangle that you rotate.
5. Which method did you find easier and why? [There is no wrong answer for what
you find easier, but explain.]
6. Sketch the solid you obtain by rotating the region R about the y-axis.
7. Find the volume of the solid obtained by rotating the region R about the y-axis
using the disk/washer method. Write the formula you are using. Write your answer
in terms of π. Draw the approximating rectangle that you rotate.
8. Find the volume of the solid obtained by rotating the region R about the y-axis using
the shell method. Write the formula you are using. Write your answer in terms of
л. Draw the approximating rectangle that you rotate.
9. Which method did you find easier and why? [There is no wrong answer for what
you find easier, but explain.]
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