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Evaluate the following surface integral S vhere S is the upper hemisphere of the sphere r2 + y² + 2² = 9.

Evaluate the following surface integral S vhere S is the upper hemisphere of the sphere r2 + y² + 2² = 9.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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please answer #5 type the answer or write it clearly so i can understand please
5. Evaluate the following surface integral (x² + y? + 2?)³/² dS, S where S is the upper hemisphere of the sphere a2 + y? + z2 = 9. 6. Evaluate the surface integral n dS where F(x, y, 2) = x* - î + (y* – 2) · ĵ + xy? - k, • 2 n is the outward unit normal and Q is bounded by z = x² + y? and z = 4.
Transcribed Image Text:5. Evaluate the following surface integral (x² + y? + 2?)³/² dS, S where S is the upper hemisphere of the sphere a2 + y? + z2 = 9. 6. Evaluate the surface integral n dS where F(x, y, 2) = x* - î + (y* – 2) · ĵ + xy? - k, • 2 n is the outward unit normal and Q is bounded by z = x² + y? and z = 4.
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