During a certain summer thunderstorm, the temperature drops and then rises again. The rate of change of the temperature during the hour and a half after the storm began is given by t(h) 9.48h3-15.39h2 + 17.46h- 9.95 where output is measured in °F per hour and h is the number of hours since the storm began. (a) Calculate the average rate of change of temperature from 0 to 1.5 hours after the storm began. (Round your answer to three decimal places.) °F per hour

Advanced Engineering Mathematics
10th Edition
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Chapter2: Second-order Linear Odes
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During a certain summer thunderstorm, the temperature drops and then rises again. The rate of change of the temperature during the
hour and a half after the storm began is given by
t(h) 9.48h³-15.39h2 + 17.46h- 9.95
where output is measured in °F per hour and h is the number of hours since the storm began.
(a) Calculate the average rate of change of temperature from 0 to 1.5 hours after the storm began. (Round your answer to three
decimal places.)
°F per hour.
(b) If the temperature was 85°F at the time the storm began, what was the average temperature during the first 1.5 hours of the
storm? (Round your answer to three decimal places.)
°F
Transcribed Image Text:During a certain summer thunderstorm, the temperature drops and then rises again. The rate of change of the temperature during the hour and a half after the storm began is given by t(h) 9.48h³-15.39h2 + 17.46h- 9.95 where output is measured in °F per hour and h is the number of hours since the storm began. (a) Calculate the average rate of change of temperature from 0 to 1.5 hours after the storm began. (Round your answer to three decimal places.) °F per hour. (b) If the temperature was 85°F at the time the storm began, what was the average temperature during the first 1.5 hours of the storm? (Round your answer to three decimal places.) °F
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