a) Let Fand let → (x, y, z) = (x, y, z) S be the surface given by z = 16 – x with and upward orientation. 2 – y 2 z 2 7 Compute S directly. Hint: the answer is S SF→· dS → 369n 2. b) Do the adaptation (the adding and subtracting) you mentioned above and find integral with divergence theorem. Note: you should get the same value as in part (a).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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a) Let F and let → (x, y, z) = (x, y, z) S be the
surface given by z = 16 – x with and upward
orientation. 2 - y 2 z 27 Compute S directly. Hint:
the answer is S S F→· dS → 369TT 2.
b) Do the adaptation (the adding and subtracting)
you mentioned above and find integral with
divergence theorem. Note: you should get the
same value as in part (a).
Transcribed Image Text:a) Let F and let → (x, y, z) = (x, y, z) S be the surface given by z = 16 – x with and upward orientation. 2 - y 2 z 27 Compute S directly. Hint: the answer is S S F→· dS → 369TT 2. b) Do the adaptation (the adding and subtracting) you mentioned above and find integral with divergence theorem. Note: you should get the same value as in part (a).
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