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49. Let f(x, y, z)=sin(x² + y² +2²). (a) Describe in words the shape of the level surfaces of f. (b) Find grad f. (c) Consider the two vectors = i +yj+zk and grad f at a point (x, y, z) where sin (x² + y² +2²) 0. What is (are) the possible values(s) of the

49. Let f(x, y, z)=sin(x² + y² +2²). (a) Describe in words the shape of the level surfaces of f. (b) Find grad f. (c) Consider the two vectors = i +yj+zk and grad f at a point (x, y, z) where sin (x² + y² +2²) 0. What is (are) the possible values(s) of the

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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49. Let f(x, y, z) = sin(x² + y² +2²). (a) Describe in words the shape of the level surfaces of f. (b) Find grad f. (c) Consider the two vectors = x+y+zk and grad f at a point (x, y, z) where sin(x² + y² +22) +0. What is (are) the possible values(s) of the angle between these vectors?
Transcribed Image Text:49. Let f(x, y, z) = sin(x² + y² +2²). (a) Describe in words the shape of the level surfaces of f. (b) Find grad f. (c) Consider the two vectors = x+y+zk and grad f at a point (x, y, z) where sin(x² + y² +22) +0. What is (are) the possible values(s) of the angle between these vectors?
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