
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Transcribed Image Text:Let
f(x,y)
=
= 2 sin(x² − y) + by³ where b is a real number. Suppose that the direction of maximum change of
ƒ at (xo, yo) = (-1, 1) is given by (–4, 1). Which of the following is the value of b?
Select one alternative
b=2
Ob=0
b = 1
Ob=3
Expert Solution

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Step 1
Here, we have used the concept that the direction of maximum change of function at a point is given by gradient of the function at that point.
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