The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in minutes since the coffee was put on the counter. (a) Is f'(t) positive or negative? (Be sure that you are able to give a reason for your answer.) (b) What are the units of f'(35)? help (units) Suppose that |f'(35)| = 0.5 and f(35) = 70. Fill in the blanks (including units where needed) and select the appropriate terms to complete the following statement about the temperature of the coffee in this case. At minutes after the coffee was put on the counter, its v is and will ? | by about in the next 90 seconds.
The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in minutes since the coffee was put on the counter. (a) Is f'(t) positive or negative? (Be sure that you are able to give a reason for your answer.) (b) What are the units of f'(35)? help (units) Suppose that |f'(35)| = 0.5 and f(35) = 70. Fill in the blanks (including units where needed) and select the appropriate terms to complete the following statement about the temperature of the coffee in this case. At minutes after the coffee was put on the counter, its v is and will ? | by about in the next 90 seconds.
Chapter3: Functions
Section3.2: Domain And Range
Problem 61SE: The cost in dollars of making x items is given by the function Cx)=10x+500. a. The fixed cost is...
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Transcribed Image Text:The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is
given by H = f(t), where t is in minutes since the coffee was put on the counter.
(a) Is f'(t) positive or negative? ?
(Be sure that you are able to give a reason for your answer.)
(b) What are the units of f'(35)?
help (units)
Suppose that |f'(35)| = 0.5 and f(35) = 70. Fill in the blanks (including units where
needed) and select the appropriate terms to complete the following statement about the
temperature of the coffee in this case.
At
minutes after the coffee was put on the counter, its
and will?
• by about
is
in the next 90 seconds.
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