A scientist observed that the speed S at which certain ants ran was a function of T, the ambient temperature.† He discovered this could be determined by the formula below where S is measured in centimeters per second and T is in degrees Celsius. S = 0.2T − 2.7 (a) Using functional notation, express the speed of the ants when the ambient temperature is 14 degrees Celsius. S ( )
A scientist observed that the speed S at which certain ants ran was a function of T, the ambient temperature.† He discovered this could be determined by the formula below where S is measured in centimeters per second and T is in degrees Celsius. S = 0.2T − 2.7 (a) Using functional notation, express the speed of the ants when the ambient temperature is 14 degrees Celsius. S ( )
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
A scientist observed that the speed S at which certain ants ran was a function of T, the ambient temperature.† He discovered this could be determined by the formula below where S is measured in centimeters per second and T is in degrees Celsius.
S = 0.2T − 2.7
(a) Using functional notation, express the speed of the ants when the ambient temperature is 14 degrees Celsius.
S ( )
Calculate that speed using the formula above. (Round your answers to one decimal place.)
cm/sec
(b) Solve for T in the formula above to obtain a formula expressing the ambient temperature T as a function of the speed S at which the ants run.
T =
(c) If the ants are running at a speed of 3 centimeters per second, what is the ambient temperature? (Round your answer to one decimal place.)
°C
S ( )
Calculate that speed using the formula above. (Round your answers to one decimal place.)
cm/sec
(b) Solve for T in the formula above to obtain a formula expressing the ambient temperature T as a function of the speed S at which the ants run.
T =
(c) If the ants are running at a speed of 3 centimeters per second, what is the ambient temperature? (Round your answer to one decimal place.)
°C
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