Format: If your answer below is a vector, input it as a column vector using the vector/matrix palette tool. • Use" to explicitly indicate multiplication between variables and other variables, between vanables and brackets, or between sets of brackets (eg. x'y rather than xy; 2(x+y) rather than 2(x+y)) • Put arguments of functions in brackets (eg. sin(x) rather than sin x) Give your answers in exact form. Find the directional derivative of f(z,y,z)-10:2-10zy-12z at P-(-5,-4,5) in the direction of (-4,3,-4). D(-4,3-4) (- sin (a) Or What is the maximum rate of increase off at P sin (a) Or a f 00 a St B E

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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Format:
. If your answer below is a vector, input it as a column vector
using the vector/matrix palette tool.
• Use * to explicitly indicate multiplication between variables and
other variables, between variables and brackets, or between
sets of brackets (e.g. x'y rather than xy; 2(x+y) rather than
2(x+y)).
Put arguments of functions in brackets (e-g. sin(x) rather than
sin x)
Give your answers in exact form.
Find the directional derivative of f(x, y, z)=10y=2-10 y-122 at
P=(-5,-4,5) in the direction of (-4,3,-4).
D(-4,3,-4) (-5,-4,5)
sin (a)
dz
What is the maximum rate of increase of f at P
|VJ|(-5,-4,5) =
sin (a)
Or
a
C
22
C
a S2
E
E
Transcribed Image Text:Format: . If your answer below is a vector, input it as a column vector using the vector/matrix palette tool. • Use * to explicitly indicate multiplication between variables and other variables, between variables and brackets, or between sets of brackets (e.g. x'y rather than xy; 2(x+y) rather than 2(x+y)). Put arguments of functions in brackets (e-g. sin(x) rather than sin x) Give your answers in exact form. Find the directional derivative of f(x, y, z)=10y=2-10 y-122 at P=(-5,-4,5) in the direction of (-4,3,-4). D(-4,3,-4) (-5,-4,5) sin (a) dz What is the maximum rate of increase of f at P |VJ|(-5,-4,5) = sin (a) Or a C 22 C a S2 E E
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