Let a = 4, b = -3, and c = 5. Also, the vector field V =(−4x−3y+az)i + (bx+3y+5z)j + (4x+cy+3z)k. For those values a, b, c, find a function f: R3 → R so that V = ∇f.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let a = 4, b = -3, and c = 5. Also, the vector field V =(−4x−3y+az)+ (bx+3y+5z)+ (4x+cy+3z)k.

For those values a, b, c, find a function fR3 → R so that = ∇f.

 
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