(c) Find the flux of F through S. Show your work, and circle your final answer. (Note: This exercise refers back to the vector field F and the figure on the previous page.)

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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Part C, please. 

(c) Find the flux of F through S. Show your work, and circle your final answer.
(Note: This exercise refers back to the vector field F and the figure on the previous page.)
Transcribed Image Text:(c) Find the flux of F through S. Show your work, and circle your final answer. (Note: This exercise refers back to the vector field F and the figure on the previous page.)
5. Let F = -9zi+ (xe"² – 2xe²)} + 12 K. Find f, F.dĀ, and let S be the portion
of the plane 2x + 3z = 6 that lies in the first octant such that 0 < y < 4 (see
figure to the right), oriented upward.
y
(a) Explain why the formula F ·Ã cannot be used to find the flux of F through the surface S. Please be
specific and use a complete sentence.
(b) Can Stokes' Theorem be used to find the flux of F through S? Clearly answer yes or no, and then briefly
explain your answer.
Transcribed Image Text:5. Let F = -9zi+ (xe"² – 2xe²)} + 12 K. Find f, F.dĀ, and let S be the portion of the plane 2x + 3z = 6 that lies in the first octant such that 0 < y < 4 (see figure to the right), oriented upward. y (a) Explain why the formula F ·Ã cannot be used to find the flux of F through the surface S. Please be specific and use a complete sentence. (b) Can Stokes' Theorem be used to find the flux of F through S? Clearly answer yes or no, and then briefly explain your answer.
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