Show all work clearly. 1. Consider the vector field F(r.y.c) = (by2– 32) i + (10y + 6xz)j + (6ry– 9n2²) k. a) Find a potential function for P. b) Calculate the work done by F through the path first from (0, 1,0) to (1,0, 2) via a straight line, and then from (1.0,2) to (2, 7, -7) via the curve FO=(V3P41, 491/(5/ + 2). L – 10t +2).
Show all work clearly. 1. Consider the vector field F(r.y.c) = (by2– 32) i + (10y + 6xz)j + (6ry– 9n2²) k. a) Find a potential function for P. b) Calculate the work done by F through the path first from (0, 1,0) to (1,0, 2) via a straight line, and then from (1.0,2) to (2, 7, -7) via the curve FO=(V3P41, 491/(5/ + 2). L – 10t +2).
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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Transcribed Image Text:Show all work clearly.
1. Consider the vector field
F(r.y.c) = (by2– 32) i + (10y + 6xz)j + (6ry– 9n2²) k.
a) Find a potential function for P.
b) Calculate the work done by F through the path first from (0, 1,0) to (1,0, 2) via
a straight line, and then from (1.0,2) to (2, 7, -7) via the curve
FO=(V3P41, 491/(5/ + 2). L – 10t +2).
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