a) Find the directional derivative of f(x, y,z) =xy-yz'+z at the point P= (1,-2, 0) in the direction of the vector a=2itj-2k, and find the maximum rate of increase of f at P. Find the 2nd order Taylor polynomial for the function f(x,y) 1+x+ at the point (1,2).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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3. a) Find the directional derivative of f(x,y,z) =xy- yz +z at the point
P= (1, -2, 0) in the direction of the vector a=2i+j-2k, and find the maximum rate
of increase of fat P.
b)
Find the 2nd order Taylor polynomial for the function f(x,y) 1+x+
point (1,2).
Transcribed Image Text:3. a) Find the directional derivative of f(x,y,z) =xy- yz +z at the point P= (1, -2, 0) in the direction of the vector a=2i+j-2k, and find the maximum rate of increase of fat P. b) Find the 2nd order Taylor polynomial for the function f(x,y) 1+x+ point (1,2).
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