31. Heating water. The time t, in minutes, needed to allow acup of cold water placed in a room to warm to T degreesCelsius is given by15t(T) = 50 In10 < T < 25.25 — Т,|a) Find t(15) and t'(15), and explain what each num-ber represents.b) What is the water's temperature after 1 hr?

Answered: 31. Heating water. The time t, in…

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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31. Heating water. The time t, in minutes, needed to allow a cup of cold water placed in a room to warm to I degrees Celsius is given by 15 t(T) = 50 ln( 10 < T< 25. 25 – T) a) Find t(15) and t'(15), and explain what each num- ber represents. b) What is the water's temperature after 1 hr?