For each part below, consider the area enclosed between the curves y = 2+1, from 1 = 0 to x = 3/1/2 -2x and y = a) Sketch the region (Note that one of the intersection points of the two curves is very close to x = 2) b) Set up the integral uses disk or washers to compute the volume of the solid created by rotating the given area the given area about the line y=3 c) Set ир the integral that uses shells to compute the volume of the solid created by rotating the given area about the line = x==2

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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part below, consider the area enclosed between the curves
For each
Z+1
-2x
from 1 = 0 to x = 3/2
y
y = e
a) Sketch the region (Note that one of the intersection points of the two
curves is very close to x = 2)
b) Set up the integral uses disk or washers to compute the volume of
the solid created by rotating the given are a about the line y = 3
c) set up the integral that uses shells to compute the volume of the
solid created by rotating the given area about the line ₁x x = -2
d) Repeat part (a) using shells
Faid the
Basic Integrals
Transcribed Image Text:part below, consider the area enclosed between the curves For each Z+1 -2x from 1 = 0 to x = 3/2 y y = e a) Sketch the region (Note that one of the intersection points of the two curves is very close to x = 2) b) Set up the integral uses disk or washers to compute the volume of the solid created by rotating the given are a about the line y = 3 c) set up the integral that uses shells to compute the volume of the solid created by rotating the given area about the line ₁x x = -2 d) Repeat part (a) using shells Faid the Basic Integrals
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