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3) Evaluate, to the nearest hundredth, 11. (V x F) dS where F = and S = {(x, y, z)| 2² − 1 = 3x² + 3y², 1 ≤ ≤ 2} oriented upwards. (2,x+2, x+y+z)

3) Evaluate, to the nearest hundredth, 11. (V x F) dS where F = and S = {(x, y, z)| 2² − 1 = 3x² + 3y², 1 ≤ ≤ 2} oriented upwards. (2,x+2, x+y+z)

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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JL. (V x F) dS where F = (2,x+2, x+y+z) (3) Evaluate, to the nearest hundredth, and S = {(x, y, z)| 2² -1 = 3x² + 3y², 1 ≤ ≤ 2} oriented upwards. (4) Let S be the surface depicted below, oriented to the side where the normal vectors have a non-negative z-component. Given that the bounding curve in the ry-plane is the ellipse (x-4)² + 4(y - 3)² = 4, determine (V x F) - ds, where S F = (2-y, x4, xz). Round to the nearest hundredth. Hint: Consider using a parametrization of the boundary of the form r(t) = (xo + a cos (t), yo + b sin (t), 0).
Transcribed Image Text:JL. (V x F) dS where F = (2,x+2, x+y+z) (3) Evaluate, to the nearest hundredth, and S = {(x, y, z)| 2² -1 = 3x² + 3y², 1 ≤ ≤ 2} oriented upwards. (4) Let S be the surface depicted below, oriented to the side where the normal vectors have a non-negative z-component. Given that the bounding curve in the ry-plane is the ellipse (x-4)² + 4(y - 3)² = 4, determine (V x F) - ds, where S F = (2-y, x4, xz). Round to the nearest hundredth. Hint: Consider using a parametrization of the boundary of the form r(t) = (xo + a cos (t), yo + b sin (t), 0).
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