1 Find the area of the surface generated by revolving the curve x = + from 3 < y < 5 about 4 8y2 the x-axis.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
icon
Related questions
Topic Video
Question

these answers were incorrect and am wondering if there is an alternative method to solve this problem. thank you

Homework5: Problem 15
Previous Problem
Problem List
Next Problem
Results for this submission
Entered
Answer Preview
Result
(1+7
([1+(y^3)-[(1/[4*(y^3)])^2]]^(1/2))*dy
dy
incorrect
4y3
3800.25896934143
1209.667
incorrect
At least one of the answers above is NOT correct.
1
Find the area of the surface generated by revolving the curve x =
+
from 3 < y <5 about
8y2
the x-axis.
Hint: Express ds =
Vdx2 + dy? in terms of dy. Enter that expression here: ds =
(1+(y^3)-[1/(4y^3)]^2)^(1,
Now evaluate the integral S = / 2nyds with appropriate limits.
Surface area is 1209.66pi
Note: You can earn partial credit on this problem.
Transcribed Image Text:Homework5: Problem 15 Previous Problem Problem List Next Problem Results for this submission Entered Answer Preview Result (1+7 ([1+(y^3)-[(1/[4*(y^3)])^2]]^(1/2))*dy dy incorrect 4y3 3800.25896934143 1209.667 incorrect At least one of the answers above is NOT correct. 1 Find the area of the surface generated by revolving the curve x = + from 3 < y <5 about 8y2 the x-axis. Hint: Express ds = Vdx2 + dy? in terms of dy. Enter that expression here: ds = (1+(y^3)-[1/(4y^3)]^2)^(1, Now evaluate the integral S = / 2nyds with appropriate limits. Surface area is 1209.66pi Note: You can earn partial credit on this problem.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Data Collection, Sampling Methods, and Bias
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage