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1. Consider the vector field F%3= (7.ryz, 5a z, 2²yz) . Identify the potential function for the vector field F. (a) The potential function of F is f(z, y, z) = x²y²?. (b) The potential function of F is f(2, y, z) = 2r²y"z°. (c) The potential function of F is f(z, y, z) = x²yz + 5ry?z²?. (d) No potential function exists.

1. Consider the vector field F%3= (7.ryz, 5a z, 2²yz) . Identify the potential function for the vector field F. (a) The potential function of F is f(z, y, z) = x²y²?. (b) The potential function of F is f(2, y, z) = 2r²y"z°. (c) The potential function of F is f(z, y, z) = x²yz + 5ry?z²?. (d) No potential function exists.

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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1. Consider the vector field (7.ryz, 5a z, 2²yz) . •F = Identify the potential function for the vector field F. (a) The potential function of F is f(2, y, z) = r²y²2?. (b) The potential function of F is f(2, y, z) = 2r²y". (c) The potential function of F is f(2, y, z) = 1²yz + 5ry²z?. (d) No potential function exists.
Transcribed Image Text:1. Consider the vector field (7.ryz, 5a z, 2²yz) . •F = Identify the potential function for the vector field F. (a) The potential function of F is f(2, y, z) = r²y²2?. (b) The potential function of F is f(2, y, z) = 2r²y". (c) The potential function of F is f(2, y, z) = 1²yz + 5ry²z?. (d) No potential function exists.
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