A 400-gallon cylindrical tank is filled with water. When a valve at the bottom of the tank is opened, the flow rate q (in gallons per minute) through the valve is: q(t) = 80e–0.2t where t is the time in minutes. Knowing that the total amount of water through the valve at any time is the integral of this function, find: a. the amount of time required to empty half of the water from the tank b. the amount of water left in the tank after 15 minutes

A 400-gallon cylindrical tank is filled with water. When a valve at the bottom of the tank is opened, the flow rate q (in gallons per minute) through the valve is: q(t) = 80e–0.2t where t is the time in minutes. Knowing that the total amount of water through the valve at any time is the integral of this function, find: a. the amount of time required to empty half of the water from the tank b. the amount of water left in the tank after 15 minutes

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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