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).

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.FOM: Focus On Modeling: Vectors Fields

Problem 8P

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