The circulation time of a mammal (the average time it takes for all the blood in the body to circulate once and return to the heart) is proportional to the fourth root of the body mass of the mammal. Circulation time, T, is measured in seconds and body mass, m, is measured in kilog (a) If the proportionality constant is 17.6, write a formula for the circulation time of a mammal. Use a lower case m. T(m) = (b) The body mass of a growing child is 42 kg and is increasing at a rate of 0.3 kg/month. What is the rate of change of the circulation time of the child? Round your answer to 3 decimal places.
The circulation time of a mammal (the average time it takes for all the blood in the body to circulate once and return to the heart) is proportional to the fourth root of the body mass of the mammal. Circulation time, T, is measured in seconds and body mass, m, is measured in kilog (a) If the proportionality constant is 17.6, write a formula for the circulation time of a mammal. Use a lower case m. T(m) = (b) The body mass of a growing child is 42 kg and is increasing at a rate of 0.3 kg/month. What is the rate of change of the circulation time of the child? Round your answer to 3 decimal places.
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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Transcribed Image Text:The circulation time of a mammal (the average time it takes for all the blood in the body to circulate once and return to the heart) is proportional to the fourth root of the body mass of the mammal. Circulation time, T, is measured in seconds and body mass, m, is measured in kilograms.
(a) If the proportionality constant is 17.6, write a formula for the circulation time of a mammal. Use a lower case m.
T(m) =
(b) The body mass of a growing child is 42 kg and is increasing at a rate of 0.3 kg/month. What is the rate of change of the circulation time of the child? Round your answer to 3 decimal places.
sec/month
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