3x 5y-2z 3) f(x, y, z)= tan-1. (-10, 0, 0) 4) f(x, y, z) - In(x2 + 4y2 + 3z2), (4,4,4)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Plz answer 3 and 4 part only asap
Show all work for full credit.
Problems 1-4: Compute the gradient of the function at the given point.
1) f(x, y) = 4x2 - 2y. (-3,-4)
2) f(x, y, z)=2x-3y + 8z, (-6, -9,7)
3) f(x, y, z)= tan-1
3x
5y - 2z
(-10, 0, 0)
4) f(x, y, z)= In(x2 + 4y2 + 3z2), (4,4,4)
Transcribed Image Text:Show all work for full credit. Problems 1-4: Compute the gradient of the function at the given point. 1) f(x, y) = 4x2 - 2y. (-3,-4) 2) f(x, y, z)=2x-3y + 8z, (-6, -9,7) 3) f(x, y, z)= tan-1 3x 5y - 2z (-10, 0, 0) 4) f(x, y, z)= In(x2 + 4y2 + 3z2), (4,4,4)
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