Water flows into a reservoir at a rate of 500 + 7t2 gallons/hour. There is a hole in the reservoir and water leaks out at a rate of 4t + t² gallons/hour. What is the net change in the amount of water in the reservoir over the time interval [1,5]?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Water flows into a reservoir at a rate of 500 + 7t2 gallons/hour. There is a hole in the reservoir and
water leaks out at a rate of 4t + t² gallons/hour. What is the net change in the amount of water in
the reservoir over the time interval [1,5]?
Transcribed Image Text:Water flows into a reservoir at a rate of 500 + 7t2 gallons/hour. There is a hole in the reservoir and water leaks out at a rate of 4t + t² gallons/hour. What is the net change in the amount of water in the reservoir over the time interval [1,5]?
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