Compute the gradients of the following functions at the given points. (a) f(x, y) = y² + xy at (2, 1) (c) h(x, y, z) = et + e²y + e³² at (0, 0, 0) (b) g(x, y, z) = xe – z² at (0, 0, 1) (d) k(x, y, z) = ex+2y+³² at (0, 0, 0)
Compute the gradients of the following functions at the given points. (a) f(x, y) = y² + xy at (2, 1) (c) h(x, y, z) = et + e²y + e³² at (0, 0, 0) (b) g(x, y, z) = xe – z² at (0, 0, 1) (d) k(x, y, z) = ex+2y+³² at (0, 0, 0)
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:1. Compute the gradients of the following functions at the given points.
(a) f(x, y) = y² + xy at (2, 1)
(c) h(x, y, z) = et + e²y + e³² at (0, 0, 0)
(b) g(x, y, z) = xe – z² at (0, 0, 1)
(d) k(x, y, z) = ex+2y+³² at (0, 0, 0)
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VIEWStep 7: In this step we get answer for part (c)
VIEWStep 8: Solution of part (d)
VIEWStep 9: In this step we get answer of part (d)
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