The temperature in degrees Celsius (C) in Toronto starting on March 1** can be represented by the function, C(t) = -4te, where t represents time in days. (March 1ª represented by t = 0) a) Determine C'(t). b) After how many days does the temperature reach a minimum? Use the second derivative test to prove your answer is a minimum. c) What is the lowest temperature reached in the first twenty days of March?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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The temperature in degrees Celsius (C) in Toronto starting on March 1ª can be represented by the function,
C(t) = -4te, where t represents time in days. (March 1ª represented by t = 0)
a) Determine C'(t).
b) After how many days does the temperature reach a minimum? Use the second derivative test to prove
your answer is a minimum.
c) What is the lowest temperature reached in the first twenty days of March?
Transcribed Image Text:The temperature in degrees Celsius (C) in Toronto starting on March 1ª can be represented by the function, C(t) = -4te, where t represents time in days. (March 1ª represented by t = 0) a) Determine C'(t). b) After how many days does the temperature reach a minimum? Use the second derivative test to prove your answer is a minimum. c) What is the lowest temperature reached in the first twenty days of March?
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