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Problem #9: Consider the surface, S, given by the portion of the parabaloid = = 14-4x² -22 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? -6 IdS (B) ƒƒ √1+64x² +16,² d$ (C) [√ √/1+49x +36y² dS S S (A) • ƒƒ (7y +6x)√1+x² + y²dS (B) [f 85xy (D) ƒƒ˜ 40 √/1 +64x²+ 16y² dS (E) ƒƒ (14−4x² −2y³²)√1+16x² + 4y² d$ (F) √ √ √₁ +64x² + 16y²² dS S (G) SS √1+16x² + 4y² 5dS (H) S√ √ ₁ + 8&x² + 4 ² ² 14 7y+ 6x + 5xy 5dS S

Problem #9: Consider the surface, S, given by the portion of the parabaloid = = 14-4x² -22 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? -6 IdS (B) ƒƒ √1+64x² +16,² d$ (C) [√ √/1+49x +36y² dS S S (A) • ƒƒ (7y +6x)√1+x² + y²dS (B) [f 85xy (D) ƒƒ˜ 40 √/1 +64x²+ 16y² dS (E) ƒƒ (14−4x² −2y³²)√1+16x² + 4y² d$ (F) √ √ √₁ +64x² + 16y²² dS S (G) SS √1+16x² + 4y² 5dS (H) S√ √ ₁ + 8&x² + 4 ² ² 14 7y+ 6x + 5xy 5dS S

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem #9: Consider the surface, S, given by the portion of the parabaloid = = 14-4x² -22 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? -6 [ dS (B) ƒƒ √1+64x² +16y²dS (C) [√ √/1+49 + 36y² dS S S (A) · ƒƒ (7y+6x)√1 + x² + y²dS (B) [f 85xy (D) ƒƒ˜ 40 √/1 +64x²+ 16y² dS (E) ƒƒ (14−4x² −2y³²)√1+16x² + 4y² d$ (F) √ √ √₁ +64x² +16y²² dS S (G) SS √1+16x² + 4y² 5dS (H) SS √ ₁ + 8&x² + 4 ² ² 14 7y + 6x + 5xy 5dS S
Transcribed Image Text:Problem #9: Consider the surface, S, given by the portion of the parabaloid = = 14-4x² -22 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? -6 [ dS (B) ƒƒ √1+64x² +16y²dS (C) [√ √/1+49 + 36y² dS S S (A) · ƒƒ (7y+6x)√1 + x² + y²dS (B) [f 85xy (D) ƒƒ˜ 40 √/1 +64x²+ 16y² dS (E) ƒƒ (14−4x² −2y³²)√1+16x² + 4y² d$ (F) √ √ √₁ +64x² +16y²² dS S (G) SS √1+16x² + 4y² 5dS (H) SS √ ₁ + 8&x² + 4 ² ² 14 7y + 6x + 5xy 5dS S
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