Calculate the line integral over the vector fieldF(x, y, z) = 2yz + 3xj− ykalong the curve C traced out by the position vector√(t) = −4tī+2t² j— 5th,t = [0, 1].

The line integral is: L=−32=−0.667Explanation:

Answered: Calculate the line integral over the…

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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Use the equation giving the flux of the vector field across the curve to calculate the flux of x+1 y (₁. (x + 1)² + y²' (x + 1)² + y² F(x, y): across C, the segment 7 ≤ y ≤ 9 along the y-axis, oriented upwards. (Use symbolic notation and fractions where needed.) [F C = Incorrect F. dr = 0.1074

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Calculate the line integral over the vector field F(x, y, z) = 2yz + 3xj− yk along the curve C traced out by the position vector √(t) = −4tī+2t² j— 5th, t = [0, 1].