Activity 1.5.2. A potato is placed in an oven, and the potato's temperature F (in de- grees Fahrenheit) at various points in time is taken and recorded in the following table. Time t is measured in minutes. 15 30 45 60 75 90 F(t) 70 180.5 251 296 324.5 342.8 354.5 Table 1.5.4: Temperature data in degrees Fahrenheit. c. Without doing any calculation, which do you expect to be greater: F'(75) or F'(90)? Why?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 22E
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Please try not to use derivatives or integrals to calculate the stuff. Thank you.
Activity 1.5.2. A potato is placed in an oven, and the potato's temperature F (in de-
grees Fahrenheit) at various points in time is taken and recorded in the following
table. Time t is measured in minutes.
15
30
45
60
75
90
F(t) 70 180.5 251 296 324.5 342.8 354.5
Table 1.5.4: Temperature data in degrees Fahrenheit.
c. Without doing any calculation, which do you expect to be greater: F'(75) or
F'(90)? Why?
Transcribed Image Text:Activity 1.5.2. A potato is placed in an oven, and the potato's temperature F (in de- grees Fahrenheit) at various points in time is taken and recorded in the following table. Time t is measured in minutes. 15 30 45 60 75 90 F(t) 70 180.5 251 296 324.5 342.8 354.5 Table 1.5.4: Temperature data in degrees Fahrenheit. c. Without doing any calculation, which do you expect to be greater: F'(75) or F'(90)? Why?
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