Suppose that a thin metal wire in the shape of a semicircle occupies the curve C, where C is the top half of the circle x² + y? = 4. 2 2 The mass density of the wire is described by 2 the function p(x, y) = x²y. Find the total mass of the wire.

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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Suppose that a thin metal wire in the shape
of a semicircle occupies the curve C, where
C is the top half of the circle x + y? = 4.
2
The mass density of the wire is described by
2
the function p(x, y) = x²y. Find the total
mass of the wire.
Transcribed Image Text:Suppose that a thin metal wire in the shape of a semicircle occupies the curve C, where C is the top half of the circle x + y? = 4. 2 The mass density of the wire is described by 2 the function p(x, y) = x²y. Find the total mass of the wire.
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