6. SET-UP the double integral which gives the vol- ume of the solid in the first octant enclosed by the graphs z = 5 - x² - y² and y = r² using (a) dydr and (b) drdy as the order of integra- tion. x Z ► y = x² z = 5-x² - y² (1.338, 1.791)

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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6. SET-UP the double integral which gives the vol-
ume of the solid in the first octant enclosed by
the graphs z = 5 - x² - y² and y = r² using
(a) dydr and (b) drdy as the order of integra-
tion.
x
Z
►
y = x²
z = 5-x² - y²
(1.338, 1.791)
Transcribed Image Text:6. SET-UP the double integral which gives the vol- ume of the solid in the first octant enclosed by the graphs z = 5 - x² - y² and y = r² using (a) dydr and (b) drdy as the order of integra- tion. x Z ► y = x² z = 5-x² - y² (1.338, 1.791)
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