(1.) Let E be the bounded by x² + y² + z² <9 with ≥ 0. Use the divergence theorem to calculate the total outwards flux of the field F = (x³ + sin³ (y), y³ + sin³ (rz), ³ + sin³ (xy)) over the closed boundary surface S. 7. = 3x²+3y²+32² = 30² Div Thm ⇒ = -} = 27 3 § § § 3 p² p²³s = (4)dpd odd 4 = 5th √ ³ p # s = (a) dp d d = 6MS = 677 3 112 (-) A = 35 6173(0+1) = 671(243) E: 0≤P≤3 σ≤0≤21
(1.) Let E be the bounded by x² + y² + z² <9 with ≥ 0. Use the divergence theorem to calculate the total outwards flux of the field F = (x³ + sin³ (y), y³ + sin³ (rz), ³ + sin³ (xy)) over the closed boundary surface S. 7. = 3x²+3y²+32² = 30² Div Thm ⇒ = -} = 27 3 § § § 3 p² p²³s = (4)dpd odd 4 = 5th √ ³ p # s = (a) dp d d = 6MS = 677 3 112 (-) A = 35 6173(0+1) = 671(243) E: 0≤P≤3 σ≤0≤21
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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Transcribed Image Text:(1.)
Let E be the bounded by x² + y² + z² <9 with ≥ 0.
Use the divergence theorem to calculate the total outwards flux of the field
F = (x³ + sin³ (y), y³ + sin³ (rz), ³ + sin³ (xy))
over the closed boundary surface S.
7. = 3x²+3y²+32² = 30²
Div Thm ⇒
=
-}
=
27 3
§ § § 3 p² p²³s = (4)dpd odd
4
=
5th √ ³ p # s = (a) dp d d
= 6MS
=
677
3
112
(-) A
= 35
6173(0+1)
=
671(243)
E:
0≤P≤3
σ≤0≤21
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