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point -2 has parameterization F(t) = (4(1-t), 3t) for 0 s 2

point -2 has parameterization F(t) = (4(1-t), 3t) for 0 s 2

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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Consider the vector field F = (-4,5). Let C be the straight line segment oriented from point (4,0) to point (0, 3); C has parameterization F(t) = (4(1-t), 3t) for 0 ≤ t ≤ 1. Compute the flux of F across C. Flux = Evaluate F. dr, where F = (5yz, 5x2 + 4, 5xy + 2z) and C is defined by x=t², y=t+5, z = 4t-5, 0 < t < 4. Note that F= Vf where f(x, y, z) = 5xyz + 4y + 2². [F. dr, where F(x, y) = < 32², 3y²> and C is the line segment from (0, 0) to Evaluate (3, 1) followed by the segment from (3, 1) to (4,3). Vf where f(x, y) = x³ + y³. Note that F =
Transcribed Image Text:Consider the vector field F = (-4,5). Let C be the straight line segment oriented from point (4,0) to point (0, 3); C has parameterization F(t) = (4(1-t), 3t) for 0 ≤ t ≤ 1. Compute the flux of F across C. Flux = Evaluate F. dr, where F = (5yz, 5x2 + 4, 5xy + 2z) and C is defined by x=t², y=t+5, z = 4t-5, 0 < t < 4. Note that F= Vf where f(x, y, z) = 5xyz + 4y + 2². [F. dr, where F(x, y) = < 32², 3y²> and C is the line segment from (0, 0) to Evaluate (3, 1) followed by the segment from (3, 1) to (4,3). Vf where f(x, y) = x³ + y³. Note that F =
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