Let f(x, y, z) = x cos z + y sin z and P = (−1, 1, 4). (a) (b) (c) at P. | Find the rate of change of f at P along the direction (1,4,-1). Find the minimum rate of change of f at P. Find an equation of the plane tangent to the surface f(x, y, z) = 0

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let f(x, y, z) = x cos z + y sin z and P = (–1, 1, 4).
(a)
(b)
(c)
at P.
| Find the rate of change of f at P along the direction (1,4,-1).
Find the minimum rate of change of f at P.
Find an equation of the plane tangent to the surface f(x, y, z) = 0
Transcribed Image Text:Let f(x, y, z) = x cos z + y sin z and P = (–1, 1, 4). (a) (b) (c) at P. | Find the rate of change of f at P along the direction (1,4,-1). Find the minimum rate of change of f at P. Find an equation of the plane tangent to the surface f(x, y, z) = 0
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