(a) the unit vector in the same direction as à = (1,2,2) (b) the gradient of h at P (c) the directional derivative of h at P in the direction of UA

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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Consider h(x, y, z) = cos (xy) + e^yz + ln (xz) at the point P (1, 0, 1/2). Determine the following:

(a) the unit vector in the same direction as A = (1,2, 2)
(b) the gradient of h at P
(c) the directional derivative of h at P in the direction of UA
Transcribed Image Text:(a) the unit vector in the same direction as A = (1,2, 2) (b) the gradient of h at P (c) the directional derivative of h at P in the direction of UA
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