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Consider the surface, S, given by the portion of the parabaloid = 14-7x²-5y² above the xy-plane (where = 20). A flow field is given by F= <8y, 3r, 6xy>. Which of the following integrals gives the flux across the surface S?

Consider the surface, S, given by the portion of the parabaloid = 14-7x²-5y² above the xy-plane (where = 20). A flow field is given by F= <8y, 3r, 6xy>. Which of the following integrals gives the flux across the surface S?

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Problem #9: Consider the surface, S, given by the portion of the parabaloid = = 14- 7x²-5y2 above the xy-plane (where = 20). A flow field is given by F = <8y, 3x, 6xy>. Which of the following integrals gives the flux across the surface S? (A) (C) (D) S (B) 71 √1 + 196x² +100y² ds !! (E) -12 √1+64x²+9y² [[ 148xy √1+196x²+100y 8y + 3x + 6xy $$ √1+14x+10y dS ffo dS (H) ff 04- dS (8y + 3x)√1+x² + y2²dS (F) √1+49x²+25² !! [[ √1+196x² +100y² ds dS (14-7x²-5y²)√1+49x² +25y²dS
Transcribed Image Text:Problem #9: Consider the surface, S, given by the portion of the parabaloid = = 14- 7x²-5y2 above the xy-plane (where = 20). A flow field is given by F = <8y, 3x, 6xy>. Which of the following integrals gives the flux across the surface S? (A) (C) (D) S (B) 71 √1 + 196x² +100y² ds !! (E) -12 √1+64x²+9y² [[ 148xy √1+196x²+100y 8y + 3x + 6xy $$ √1+14x+10y dS ffo dS (H) ff 04- dS (8y + 3x)√1+x² + y2²dS (F) √1+49x²+25² !! [[ √1+196x² +100y² ds dS (14-7x²-5y²)√1+49x² +25y²dS
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