Region bounded by y=Vx, x=0, and y=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.
Chapter9: Surfaces And Solids
Section9.3: Cylinders And Cones
Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...
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For Problems 5-7, set up (but do not integrate) integrals for finding the volumes of the
solids described. Sketch each region and show at least one representative rectangle.
6. Region bounded by
y=x, x=0, and y=2
5. Region bounded by
1
y =-, y = 0, x=1, and x = 4
a. revolved about the x-axis
b. revolved about y=-3
c. revolved about y=5
a. revolved about the y-axis
b. revolved about x =-2
c. revolved about x=4
7. Region bounded by
y =x -2 and y =-1
a. revolved about the x-axis
b. revolved about y=1
8. Without using a calculator, find the volume of the solid fomed when the region
bounded by y = x, x = 0, and y = 2 is revolved about:
a. the x-axis
b. the y-axis
Transcribed Image Text:For Problems 5-7, set up (but do not integrate) integrals for finding the volumes of the solids described. Sketch each region and show at least one representative rectangle. 6. Region bounded by y=x, x=0, and y=2 5. Region bounded by 1 y =-, y = 0, x=1, and x = 4 a. revolved about the x-axis b. revolved about y=-3 c. revolved about y=5 a. revolved about the y-axis b. revolved about x =-2 c. revolved about x=4 7. Region bounded by y =x -2 and y =-1 a. revolved about the x-axis b. revolved about y=1 8. Without using a calculator, find the volume of the solid fomed when the region bounded by y = x, x = 0, and y = 2 is revolved about: a. the x-axis b. the y-axis
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