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02.03.2021 •
Mathematics
Mr. O. ran the Disney Marathon in 2 hours 18 minutes. Remember a marathon is 26.2
miles. Show that at least twice he had to be running at a rate of 11 miles per hour.
Determine whether Mean Value Theorem can be applied. If so, find all values x=c that satisfy the theorem, or explain why not.
Calculus AB AP
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Ответ:
Kindly check explanation
Step-by-step explanation:
Given that:
Time taken = 2 hours 18 minutes
18 / 60 = 0.3 hours
Hence, time taken = 2.3 hours
Speed = distance / time
Speed = 26.2 / 11.3 = 11.39 mi/hr
Hence, according to the mean value theorem ;
The range of time taken is (0, 2.3) whereby a certain time, t exist when the runner attains a speed of 11.39
Since initial and final velocity is 0 ;
The runner attains a speed of 11 mi/hr between :
(0, 2.3) and (t, 2.3)
Ответ: