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With the warm weather finally here, Mrs. Smith needs to drain the old water out of her pool and refill it with clean water. The volume of water, V (litres), remaining in the pool t (minutes) after the draining has started, is: V (t) = t² - 80t + 1600 a) Determine the average rate at which the volume of water is changing between t = 4 minutes and t = 4.5 minutes. Round your answer to 1 decimal place. Include units. b) Estimate the instantaneous rate at which the volume of water is changing at 4 minutes. Round your answer to 3 decimal places. Include units.

With the warm weather finally here, Mrs. Smith needs to drain the old water out of her pool and refill it with clean water. The volume of water, V (litres), remaining in the pool t (minutes) after the draining has started, is: V (t) = t² - 80t + 1600 a) Determine the average rate at which the volume of water is changing between t = 4 minutes and t = 4.5 minutes. Round your answer to 1 decimal place. Include units. b) Estimate the instantaneous rate at which the volume of water is changing at 4 minutes. Round your answer to 3 decimal places. Include units.

Advanced Engineering Mathematics
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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Please use this formula! 

m=lin f(a+h)-f(a) hoo h
Transcribed Image Text:m=lin f(a+h)-f(a) hoo h
With the warm weather finally here, Mrs. Smith needs to drain the old water out of her pool and refill it with clean water. The volume of water, V (litres), remaining in the pool t (minutes) after the draining has started, is: V(t) = t² - 80t + 1600 a) Determine the average rate at which the volume of water is changing between t = 4 minutes and t = 4.5 minutes. Round your answer to 1 decimal place. Include units. b) Estimate the instantaneous rate at which the volume of water is changing at 4 minutes. Round your answer to 3 decimal places. Include units.
Transcribed Image Text:With the warm weather finally here, Mrs. Smith needs to drain the old water out of her pool and refill it with clean water. The volume of water, V (litres), remaining in the pool t (minutes) after the draining has started, is: V(t) = t² - 80t + 1600 a) Determine the average rate at which the volume of water is changing between t = 4 minutes and t = 4.5 minutes. Round your answer to 1 decimal place. Include units. b) Estimate the instantaneous rate at which the volume of water is changing at 4 minutes. Round your answer to 3 decimal places. Include units.
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