Question 2 You want to use the tube method to find the volume of the solid obtained by rotating about the y-axis the region in the cy-plane bounded by the curves y = 8x²- - and y = 0. 3 A typical tube has radius a, circumference 2x and height: f(x) = Using the tube method, the volume is given by the integral: a > where: a = Evaluating the integral you found above: volume da

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 2
a
You want to use the tube method to find the volume of the solid obtained by rotating about the y-axis the
region in the cy-plane bounded by the curves y = 8x² - ³ and y = 0.
A typical tube has radius a, circumference 2πx and height:
f(x) =
Using the tube method, the volume is given by the integral:
S
where: a =
<
volume
>
Evaluating the integral you found above:
Submit Question
da
Transcribed Image Text:Question 2 a You want to use the tube method to find the volume of the solid obtained by rotating about the y-axis the region in the cy-plane bounded by the curves y = 8x² - ³ and y = 0. A typical tube has radius a, circumference 2πx and height: f(x) = Using the tube method, the volume is given by the integral: S where: a = < volume > Evaluating the integral you found above: Submit Question da
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