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(a) Let z = 50 – (ry)2 denotes the height of a hill. Then attempt to find the maximumum rate of change in the height of the hill at (1,2). (b) Let T(r, y, z) = 2a2 + ryz + y + 273 denotes a temperature field. Then attempt to establish the gradient of the T at (-1,2, 1). (c) Attempt to determine the gradient of r (r + y² + 22)/2.

(a) Let z = 50 – (ry)2 denotes the height of a hill. Then attempt to find the maximumum rate of change in the height of the hill at (1,2). (b) Let T(r, y, z) = 2a2 + ryz + y + 273 denotes a temperature field. Then attempt to establish the gradient of the T at (-1,2, 1). (c) Attempt to determine the gradient of r (r + y² + 22)/2.

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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Exercise II (a) Let z = 50 – (ry)2 denotes the height of a hill. Then attempt to find the maximumum rate of change in the height of the hill at (1,2). (b) Let T(r, y, z) = 2x² + ryz + y² + 273 denotes a temperature field. Then attempt to establish the gradient of the T at (-1,2, 1). (c) Attempt to determine the gradient of r = (2² + y² + z²)'/².
Transcribed Image Text:Exercise II (a) Let z = 50 – (ry)2 denotes the height of a hill. Then attempt to find the maximumum rate of change in the height of the hill at (1,2). (b) Let T(r, y, z) = 2x² + ryz + y² + 273 denotes a temperature field. Then attempt to establish the gradient of the T at (-1,2, 1). (c) Attempt to determine the gradient of r = (2² + y² + z²)'/².
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