Answered: 4. Find the volume of the solid…

4. Find the volume of the solid generated by rotating the region bounded by curve x = -y² + y and the y-axis about the y-axis. Sketch the region and the solid

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 41E: Find the exact lateral area of each solid in Exercise 40. Find the exact volume of the solid formed...

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Question

Please solve 4, thanks!

v) Find the volume of the song of revolution obtamed by rotating the curve around the axis
a) L = 4/3
b) V= 467
57/315 cu. units
1
3. Find the volume of the solid obtained by rotating the region bounded by y = x=2, and y = 0 about the y-
axis. Sketch the graph of the region and the solid
V= 2n cu. units
4. Find the volume of the solid generated by rotating the region bounded by curve x = -y² + y and the y-axis
about the y-axis. Sketch the region and the solid
5. Find the arc length of each curve (integrate by hand)
a) x = -8y-3 on [-2,6] b) y = x³/2 on
a) 8√65 b) 168
6. Set up the integral to determine the arc length of each curve, then integrate in your calculator
OCT
18
[0,60]
A
S
W
tv

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