A mug of beer chilled to 32 degrees, if left in a 68-degree room, will warm to a temperature of T(t) = 68 - 36e-3.5t degrees in t hours. (a) Find T(0.3) and T'(0.3). (Round your answers to one decimal place.) T(0.3) = 55.4 T'(0.3) = X O Interpret your answers. After 18 minutes, the temperature of the beer is O X degrees and is increasing at the rate of (b) Find T(1) and 7(1). (Round your answers to one decimal place.) T(1) = 66.9 T'(1) = 3.8 Interpret your answers. After 1 hour, the temperature of the beer is 66.9 degrees and is increasing at the rate of 3.8 X degrees per hour. 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 mug of beer chilled to 32 degrees, if left in a 68-degree room, will warm to a temperature of T(t) = 68
(a) Find T(0.3) and T'(0.3). (Round your answers to one decimal place.)
= 55.4
T(0.3)
T'(0.3)
=
O
Interpret your answers.
After 18 minutes, the temperature of the beer is
(b) Find T(1) and T'(1). (Round your answers to one decimal place.)
= 66.9
T(1)
T'(1) = 3.8
Interpret your answers.
After 1 hour, the temperature of the beer is 66.9
-
36e
X degrees and is increasing at the rate of
degrees and is increasing at the rate of 3.8
-3.5t
degrees in t hours.
X degrees per hour.
degrees per hour.
Transcribed Image Text:A mug of beer chilled to 32 degrees, if left in a 68-degree room, will warm to a temperature of T(t) = 68 (a) Find T(0.3) and T'(0.3). (Round your answers to one decimal place.) = 55.4 T(0.3) T'(0.3) = O Interpret your answers. After 18 minutes, the temperature of the beer is (b) Find T(1) and T'(1). (Round your answers to one decimal place.) = 66.9 T(1) T'(1) = 3.8 Interpret your answers. After 1 hour, the temperature of the beer is 66.9 - 36e X degrees and is increasing at the rate of degrees and is increasing at the rate of 3.8 -3.5t degrees in t hours. X degrees per hour. degrees per hour.
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