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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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