Evaluate the given integral over the solid ellipsoid in uvw-space.) SSS 7|xyz/dxdydz D The value of the integral is + ≤9. (Hint: Let x = au, y = bv, and z= cw. Then integrate over an appropriate region

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 57E
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Evaluate the given integral over the solid ellipsoid
in uvw-space.)
SSS 7|xyz/dxdydz
D
The value of the integral is
x²y²
+
≤9. (Hint: Let x = au, y = bv, and z= cw. Then integrate over an appropriate region
Transcribed Image Text:Evaluate the given integral over the solid ellipsoid in uvw-space.) SSS 7|xyz/dxdydz D The value of the integral is x²y² + ≤9. (Hint: Let x = au, y = bv, and z= cw. Then integrate over an appropriate region
Integrate the given function over the given surface.
G(x,y,z)= y2 over the sphere x2 + y2 + z² = 4
Integrate the function.
G(x,y,z) do =
S
(Type an exact answer in terms of x.)
(...)
Transcribed Image Text:Integrate the given function over the given surface. G(x,y,z)= y2 over the sphere x2 + y2 + z² = 4 Integrate the function. G(x,y,z) do = S (Type an exact answer in terms of x.) (...)
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