97. Let T = f(x, y) = 100e-(*"/2)- represent the temperature, in °C, at the point (x, y) with x and y in meters. (a) Describe the contours of f, and explain their meaning in the context of this problem. (b) Find the rate at which the temperature changes as you move away from the point (1, 1) toward the point (2, 3). Give units in your answer. |(c) In what direction would you move away from (1, 1) for the temperature to increase as fast as possible?
97. Let T = f(x, y) = 100e-(*"/2)- represent the temperature, in °C, at the point (x, y) with x and y in meters. (a) Describe the contours of f, and explain their meaning in the context of this problem. (b) Find the rate at which the temperature changes as you move away from the point (1, 1) toward the point (2, 3). Give units in your answer. |(c) In what direction would you move away from (1, 1) for the temperature to increase as fast as possible?
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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