Let S be the surface of the solid bounded by the paraboloid z = 9 – a? – y² and the planes z =1 and z = 4. Let F(2, y, 2) = (y², zz, zv9 – z² – y²). Find F dS. [Hint: use the Divergence Theorem and a change to cylindrical coordinates. Set up the cylindrical integral in the order dr d0 dz.]

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Let S be the surface of the solid bounded by the paraboloid z = 9 – x² – y° and the planes z = 1 and z = 4. Let
F(1, y, 2) = (y², xz, z/9 – a² – y?). Find / E
F. dS.
[Hint: use the Divergence Theorem and a change to cylindrical coordinates. Set up the cylindrical integral in the order dr de dz.]
Select one:
а. О
b. 1341т
30
2767
C.
d. 6867
15
8337
е.
20
Transcribed Image Text:Let S be the surface of the solid bounded by the paraboloid z = 9 – x² – y° and the planes z = 1 and z = 4. Let F(1, y, 2) = (y², xz, z/9 – a² – y?). Find / E F. dS. [Hint: use the Divergence Theorem and a change to cylindrical coordinates. Set up the cylindrical integral in the order dr de dz.] Select one: а. О b. 1341т 30 2767 C. d. 6867 15 8337 е. 20
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