(2.) Determine the exact value of SS (x2 2+ y² + z²)dS, where S is the closed surface consisting of the paraboloid z = x²+ y² (bottom), cylinder x² + y² = 9 (side) and plane z = 10 (top).

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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(2.)
Determine the exact value of
SS
(x2
2+ y² + z²)dS, where S is the closed surface consisting
of the paraboloid z = x²+ y² (bottom), cylinder x² + y² = 9 (side) and plane z = 10 (top).
Transcribed Image Text:(2.) Determine the exact value of SS (x2 2+ y² + z²)dS, where S is the closed surface consisting of the paraboloid z = x²+ y² (bottom), cylinder x² + y² = 9 (side) and plane z = 10 (top).
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