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Example 2. In a room, the temperature is given by T = f(x, t) degrees Celsius, where r is the distance from a heater (in meters) and t is the elapsed time (in minutes) since the heat has been turned on. A person standing 3 meters from the heater 5 minutes after it has been turned on observes the following: (1) The temperature is increasing by 1.2°C per minute, and (2) Walking away from the heater, the temperature decreases by 2°C meter as time is held constant. Estimate how much cooler or warmer it would be 2.5 meters from the heater after 6 minutes. per

Example 2. In a room, the temperature is given by T = f(x, t) degrees Celsius, where r is the distance from a heater (in meters) and t is the elapsed time (in minutes) since the heat has been turned on. A person standing 3 meters from the heater 5 minutes after it has been turned on observes the following: (1) The temperature is increasing by 1.2°C per minute, and (2) Walking away from the heater, the temperature decreases by 2°C meter as time is held constant. Estimate how much cooler or warmer it would be 2.5 meters from the heater after 6 minutes. per

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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Example 2. In a room, the temperature is given by T = heater (in meters) and t is the elapsed time (in minutes) since the heat has been turned on. A person standing 3 meters from the heater 5 minutes after it has been turned on observes the following: (1) The temperature is increasing by 1.2°C per minute, and (2) Walking away from the heater, the temperature decreases by 2°C per meter as time is held constant. Estimate how much cooler or warmer it would be 2.5 meters from the heater after 6 f(x, t) degrees Celsius, where x is the distance from a minutes. f (x, y): The differential, df (or dz) at a point (a, b) is The Differential of a Function z = by ) dr + fy(a, 6) dy.
Transcribed Image Text:Example 2. In a room, the temperature is given by T = heater (in meters) and t is the elapsed time (in minutes) since the heat has been turned on. A person standing 3 meters from the heater 5 minutes after it has been turned on observes the following: (1) The temperature is increasing by 1.2°C per minute, and (2) Walking away from the heater, the temperature decreases by 2°C per meter as time is held constant. Estimate how much cooler or warmer it would be 2.5 meters from the heater after 6 f(x, t) degrees Celsius, where x is the distance from a minutes. f (x, y): The differential, df (or dz) at a point (a, b) is The Differential of a Function z = by ) dr + fy(a, 6) dy.
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