The temperature of a cup of tea F, in degrees Fahrenheit, as a function of time t, in minutes after it was poured, is shown in the table below. Use the table to answer the following questions. Time, 3 6. 9. 9 12 15 18 F(t) 190 163 142 126 114 105 98 a) Find the average rate of change of the temperature from t = 3 to t = 9 ? (Include units) b) Use central difference to estimate F'(12). (Include units)
The temperature of a cup of tea F, in degrees Fahrenheit, as a function of time t, in minutes after it was poured, is shown in the table below. Use the table to answer the following questions. Time, 3 6. 9. 9 12 15 18 F(t) 190 163 142 126 114 105 98 a) Find the average rate of change of the temperature from t = 3 to t = 9 ? (Include units) b) Use central difference to estimate F'(12). (Include units)
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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![The temperature of a cup of tea \( F \), in degrees Fahrenheit, as a function of time \( t \), in minutes after it was poured, is shown in the table below. Use the table to answer the following questions.
\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
\text{Time, } t & 0 & 3 & 6 & 9 & 12 & 15 & 18 \\
\hline
F(t) & 190 & 163 & 142 & 126 & 114 & 105 & 98 \\
\hline
\end{array}
\]
a) Find the average rate of change of the temperature from \( t = 3 \) to \( t = 9 \). (Include units)
b) Use central difference to estimate \( F'(12) \). (Include units)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F868b8534-4d89-4d63-908b-b662dc9aeef4%2F9ac331fc-2fc7-47d5-8c71-2152505e78f3%2Fjrqislb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The temperature of a cup of tea \( F \), in degrees Fahrenheit, as a function of time \( t \), in minutes after it was poured, is shown in the table below. Use the table to answer the following questions.
\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
\text{Time, } t & 0 & 3 & 6 & 9 & 12 & 15 & 18 \\
\hline
F(t) & 190 & 163 & 142 & 126 & 114 & 105 & 98 \\
\hline
\end{array}
\]
a) Find the average rate of change of the temperature from \( t = 3 \) to \( t = 9 \). (Include units)
b) Use central difference to estimate \( F'(12) \). (Include units)
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