Suppose that during the first few hours of a laboratory experiment, the temperature of a certain substance is closely approximated by the function f(t)-3-212+ St, where t is measured in hours, with 2-0 corresponding to the instant the experiment begins, and f(t) is the temperature (°F) of the substance after t hours. (a) Find an expression for Af/At using the interval [0, t). What are the units for Af/At? O p2/hr² OF2/min O °C/min O "F/hr O °C/hr (b) Use the result in part (a) to complete the following table. Round the answers to four decimal places. [0, 0.1) [0, 0.01] [0, 0.001] [0, 0.0001] Interval Af/At (c) In part (b), as the right-hand endpoint gets closer and closer to 0, what value does Af/At seem to be approaching? This target value tells us the rate at which the temperature is changing at the instant the experiment begins. F/hr
Suppose that during the first few hours of a laboratory experiment, the temperature of a certain substance is closely approximated by the function f(t)-3-212+ St, where t is measured in hours, with 2-0 corresponding to the instant the experiment begins, and f(t) is the temperature (°F) of the substance after t hours. (a) Find an expression for Af/At using the interval [0, t). What are the units for Af/At? O p2/hr² OF2/min O °C/min O "F/hr O °C/hr (b) Use the result in part (a) to complete the following table. Round the answers to four decimal places. [0, 0.1) [0, 0.01] [0, 0.001] [0, 0.0001] Interval Af/At (c) In part (b), as the right-hand endpoint gets closer and closer to 0, what value does Af/At seem to be approaching? This target value tells us the rate at which the temperature is changing at the instant the experiment begins. F/hr
Calculus: Early Transcendentals
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Chapter1: Functions And Models
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![Suppose that during the first few hours of a laboratory experiment, the temperature of a certain substance is closely approximated by the function f(t) = -2²+ St, where t is measured in hours, with t = 0
corresponding to the instant the experiment begins, and f(t) is the temperature (°F) of the substance after t hours.
(a) Find an expression for Af/At using the interval [0, t].
What are the units for Af/At?
O °F2/hr²
O eF2/min
O °C/min
@F/hr
O °C/hr
(b) Use the result in part (a) to complete the following table. Round the answers to four decimal places.
[0, 0.1]
[0, 0.001]
[0, 0.0001]
Interval
Af/At
[0, 0.01]
(c) In part (b), as the right-hand endpoint gets closer and closer to 0, what value does Af/At seem to be approaching? This target value tells us the rate at which the temperature is changing at the instant
the experiment begins.
°F/hr](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f36f111-f1bc-4b8c-9508-d8f50a3e95e1%2Ffbfae0e7-81e6-43c3-a702-3729955fe3f4%2Fcefk6wn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that during the first few hours of a laboratory experiment, the temperature of a certain substance is closely approximated by the function f(t) = -2²+ St, where t is measured in hours, with t = 0
corresponding to the instant the experiment begins, and f(t) is the temperature (°F) of the substance after t hours.
(a) Find an expression for Af/At using the interval [0, t].
What are the units for Af/At?
O °F2/hr²
O eF2/min
O °C/min
@F/hr
O °C/hr
(b) Use the result in part (a) to complete the following table. Round the answers to four decimal places.
[0, 0.1]
[0, 0.001]
[0, 0.0001]
Interval
Af/At
[0, 0.01]
(c) In part (b), as the right-hand endpoint gets closer and closer to 0, what value does Af/At seem to be approaching? This target value tells us the rate at which the temperature is changing at the instant
the experiment begins.
°F/hr
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