Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
Related questions
Question
As water drains out of a 2000L hot tub, the amount of water remaining in the tub can be modelled by the function V(t) = 0.00002(100-t)4, where t is the time in minutes, 0≤t≤100, and v(t) is the volume of water, in litres, remaining in the tub after time t.
a) determine the average rate of change of the volume of water during the last 55 minutes.
b) Estimate the instantaneous rate of change of the volume after 40 minutes
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