Suppose that the outside temperature versus time curve over a 24-hour period is as shown in the accompanying figure. 80 70 60 50 40 30 12 2 4 6 8 10 12 2 4 6 8 10 12 A.M. P.M. Time (a) Estimate the minimum temperature and the time at which it occurs. The minimum temperature is i °F and it occurs at i A.M. Temperature (°F)

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 14CC
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Suppose that the outside temperature versus time curve over a 24-hour period is as shown in the accompanying figure.
80
70
60
50
40
30
12 2
4
6
8 10 12 2
8 10 12
A.M.
P.M.
Time
(a) Estimate the minimum temperature and the time at which it occurs.
The minimum temperature is i
! 'F and it occurs at
i
:
A.M.
Temperature (°F)
Transcribed Image Text:Current Attempt in Progress Suppose that the outside temperature versus time curve over a 24-hour period is as shown in the accompanying figure. 80 70 60 50 40 30 12 2 4 6 8 10 12 2 8 10 12 A.M. P.M. Time (a) Estimate the minimum temperature and the time at which it occurs. The minimum temperature is i ! 'F and it occurs at i : A.M. Temperature (°F)
(b) The temperature rise is fairly linear from 8 A.M. to 2 P.M. Estimate the rate at which the temperature is increasing during this time
period.
Round your answer to one decimal place.
The temperature is increasing at a rate of i
°F/h
(c) Estimate the time at which the temperature is increasing most rapidly. Estimate the instantaneous rate of change of temperature
with respect to time at this instant.
Round your answers to the nearest integer.
The temperature is increasing most rapidly at i
The instantaneous rate of change at this instant is
i
°F/h.
Transcribed Image Text:(b) The temperature rise is fairly linear from 8 A.M. to 2 P.M. Estimate the rate at which the temperature is increasing during this time period. Round your answer to one decimal place. The temperature is increasing at a rate of i °F/h (c) Estimate the time at which the temperature is increasing most rapidly. Estimate the instantaneous rate of change of temperature with respect to time at this instant. Round your answers to the nearest integer. The temperature is increasing most rapidly at i The instantaneous rate of change at this instant is i °F/h.
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