Question

Question 2 (1 point) Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. F = 2x\textsuperscript{3}i + 2y\textsuperscript{3}j + 2z\textsuperscript{3}k; D: the thick sphere 3\textsuperscript{2} ? x\textsuperscript{2} + y\textsuperscript{2} + z\textsuperscript{2} ? 6\textsuperscript{2}. Your Answer: Answer

          Question 2 (1 point)
Using the Divergence Theorem, find the outward flux of F across the boundary of the
region D.
F = 2x\textsuperscript{3}i + 2y\textsuperscript{3}j + 2z\textsuperscript{3}k; D: the thick sphere 3\textsuperscript{2} ? x\textsuperscript{2} + y\textsuperscript{2} + z\textsuperscript{2} ? 6\textsuperscript{2}.
Your Answer:
Answer

Question 2 (1 point)
Using the Divergence Theorem, find the outward flux of F across the boundary of the
region D.
F = 2x3i + 2y3j + 2z3k; D: the thick sphere 32 ? x2 + y2 + z2 ? 62.
Your Answer:
Answer

Added by Miguel M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

06/30/2023

Step 1

The divergence of F is given by: div(F) = ∇ ⋅ F = ∂(2x^3)/∂x + ∂(2y^3)/∂y + ∂(2z^3)/∂z = 6x^2 + 6y^2 + 6z^2 Show more…

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Question 2 (1 point) Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. F=2x^(3)i+2y^(3)j+2z^(3)k; D: the thick sphere 3^(2)<=x^(2)+y^(2)+z^(2)<=6^(2). Your Answer: Answer Question 2 (1 point) Using the Divergence Theorem, find the outward flux of F across the boundary of the region D. F = 2x3i + 2y3j + 2z3k;D: the thick sphere 32 x2 + y2 + z2 62 Your Answer: Answer