Consider the surface, S, given by the portion of the parabaloid z = 14-4x² – 2y² above the xy-plane (where z > 0). A flow field is given by F = <7y, 6x, 5xy>. Which of the following integrals gives the flux across the surface S? A) [ƒ (7y+6x)√1+x²+y²d$_(B) [√ √1+64x²+16y²dS (C) S [dS (H) √√ √ ₁ +87² + 4y=²0 7y + 6x + 5xy dS S -6 √1+49x²+36 85xy _D) [ƒ 40 √/1 +64x²+16y² dS (E) [ƒ (14−4x²−29²)√1 + 16x² +41³² dS (F) [√ √1+64x² +16² dS S S S 14 _G) [√ √₁+1687² +4² S dS
Consider the surface, S, given by the portion of the parabaloid z = 14-4x² – 2y² above the xy-plane (where z > 0). A flow field is given by F = <7y, 6x, 5xy>. Which of the following integrals gives the flux across the surface S? A) [ƒ (7y+6x)√1+x²+y²d$_(B) [√ √1+64x²+16y²dS (C) S [dS (H) √√ √ ₁ +87² + 4y=²0 7y + 6x + 5xy dS S -6 √1+49x²+36 85xy _D) [ƒ 40 √/1 +64x²+16y² dS (E) [ƒ (14−4x²−29²)√1 + 16x² +41³² dS (F) [√ √1+64x² +16² dS S S S 14 _G) [√ √₁+1687² +4² S dS
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 21E
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