[3.4] For this problem, exact answers are requested. Avoid decimals. Recall that when an object having an initial temperature of T, is placed in an environment with ambient temperature A, then its temperature, T, will satisfy the following differential equation: dT = k(T – A) dt where k is some constant to be determined. Bob's coffee has cooled down to 73 degrees. To warm up the coffee, he places it in an oven that is set to 100 degrees. a) If the coffee reaches 88 degrees after two minutes, what temperature will it reach after three minutes? b) How long will it take to reach 94 degrees?

[3.4] For this problem, exact answers are requested. Avoid decimals. Recall that when an object having an initial temperature of T, is placed in an environment with ambient temperature A, then its temperature, T, will satisfy the following differential equation: dT = k(T – A) dt where k is some constant to be determined. Bob's coffee has cooled down to 73 degrees. To warm up the coffee, he places it in an oven that is set to 100 degrees. a) If the coffee reaches 88 degrees after two minutes, what temperature will it reach after three minutes? b) How long will it take to reach 94 degrees?

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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