The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of revolution generated by revolving the cu z =- + 3 2 for (0 sy < 3) in the yz-plane about the z-axis.
The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of revolution generated by revolving the cu z =- + 3 2 for (0 sy < 3) in the yz-plane about the z-axis.
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
Find an equation for the surface of the revolution. All measurements are in centimeters and the bushing is set on the xy-plane. Use the shell method to find it's volume. (Round your answer to three decimal places.) The bushing has a hole of diameter 1 centimeter through its center and parallel to the axis of revolution. Find the volumme of the rubber bushing. (Round your answer to three decimal places.)
Transcribed Image Text:The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of revolution generated by revolving the curve
1
Z =-
+ 3
for (0 sy s 3) in the yz-plane about the z-axis.
Expert Solution
Step 1
Given'
z = 1/2 y2 + 3
Limits: 0≤y≤3
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