A thermos bottle that is chilled to 44 degrees Fahrenheit and then left in a 80-degree room will warm to a temperature of T(t) = 80 - 36e-0.1t degrees after t hours. Find the rate of change (in degrees per hour) of the temperature at the following. (Round your answers to one decimal place.) (a) at time t = 0 degrees per hour (b) after 5 hours degrees per hour

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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A thermos bottle that is chilled to 44 degrees Fahrenheit and then left in a 80-degree room will warm to a temperature of T(t) = 80 - 36e-0.1t degrees
after t hours. Find the rate of change (in degrees per hour) of the temperature at the following. (Round your answers to one decimal place.)
(a) at time t = 0
degrees per hour
(b) after 5 hours
degrees per hour
Transcribed Image Text:A thermos bottle that is chilled to 44 degrees Fahrenheit and then left in a 80-degree room will warm to a temperature of T(t) = 80 - 36e-0.1t degrees after t hours. Find the rate of change (in degrees per hour) of the temperature at the following. (Round your answers to one decimal place.) (a) at time t = 0 degrees per hour (b) after 5 hours degrees per hour
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