Consider the surface, S. given by the portion of the parabaloid z = 5-3²-8y² above the xy-plane (where > 0). A flow field is given by F = <4y, 6x, 5xy>. Which of the following integrals gives the flux across the surface S? [[ (4y+6x)√1 +2³²+3² d$ (C) _{[ƒ*√/1+16r² + 363+² dS _^) √√(5-37²-8y²³)√ D) ff√1+36x² + 256y²dS (E) G) √ √1 +92 +64y+dS dS (H) [J*60√1+36x² +256y² dS ²−8y²)√1 +9x² +64y² dS (B) ff(4y+6x)√1+x² + y² d$ (C) 125xy V1+36x²+256y dS (F) 4y +6x + 5xy √1+6² +16y² dS
Consider the surface, S. given by the portion of the parabaloid z = 5-3²-8y² above the xy-plane (where > 0). A flow field is given by F = <4y, 6x, 5xy>. Which of the following integrals gives the flux across the surface S? [[ (4y+6x)√1 +2³²+3² d$ (C) _{[ƒ*√/1+16r² + 363+² dS _^) √√(5-37²-8y²³)√ D) ff√1+36x² + 256y²dS (E) G) √ √1 +92 +64y+dS dS (H) [J*60√1+36x² +256y² dS ²−8y²)√1 +9x² +64y² dS (B) ff(4y+6x)√1+x² + y² d$ (C) 125xy V1+36x²+256y dS (F) 4y +6x + 5xy √1+6² +16y² 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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