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Let F(1, y, z) = xe"i+(z – e")j – ryk and S be the ellipsoid z² + 2y² + 3z² = 4. (a) Which of the following theorems most helpful in evaluating Sfs F - dS? (1) The Fundamental Theorem of Line Integral (2) Green's Theorem (3) Stokes' Theorem (4) Divergence Theorem (b) Find the divergence of the vector field F at point (1,0, 1). (c) Evaluate 3 SSF·dS. Your answer to (a) HOO □口口A0回E Your answer to (b) Your answer to (c)

Let F(1, y, z) = xe"i+(z – e")j – ryk and S be the ellipsoid z² + 2y² + 3z² = 4. (a) Which of the following theorems most helpful in evaluating Sfs F - dS? (1) The Fundamental Theorem of Line Integral (2) Green's Theorem (3) Stokes' Theorem (4) Divergence Theorem (b) Find the divergence of the vector field F at point (1,0, 1). (c) Evaluate 3 SSF·dS. Your answer to (a) HOO □口口A0回E Your answer to (b) Your answer to (c)

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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Let F(z, y, z) = re"i+ (z – e")j – xyk and S be the ellipsoid x² + 2y² + 3z² = 4. (a) Which of the following theorems most helpful in evaluating ffs F dS? (1) The Fundamental Theorem of Line Integral (2) Green's Theorem (3) Stokes' Theorem (4) Divergence Theorem (b) Find the divergence of the vector field F at point (1,0, 1). 24 of 24 (c) Evaluate 3 ff, F · dS. Your answer to (a) Your answer to (b) Your answer to (c)
Transcribed Image Text:Let F(z, y, z) = re"i+ (z – e")j – xyk and S be the ellipsoid x² + 2y² + 3z² = 4. (a) Which of the following theorems most helpful in evaluating ffs F dS? (1) The Fundamental Theorem of Line Integral (2) Green's Theorem (3) Stokes' Theorem (4) Divergence Theorem (b) Find the divergence of the vector field F at point (1,0, 1). 24 of 24 (c) Evaluate 3 ff, F · dS. Your answer to (a) Your answer to (b) Your answer to (c)
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