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Let f(x, y) = 2 sin(x². y) + by³ where b is a real number. Suppose that the direction of maximum change of fat (xo, yo) = (-1, 1) is given by (-4,1). Which of the following is the value of b? Select one alternative Ob=2 Ob=0 O b=1 Ob=3

Let f(x, y) = 2 sin(x². y) + by³ where b is a real number. Suppose that the direction of maximum change of fat (xo, yo) = (-1, 1) is given by (-4,1). Which of the following is the value of b? Select one alternative Ob=2 Ob=0 O b=1 Ob=3

Advanced Engineering Mathematics
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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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
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
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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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