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Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are shown in the table. t (hr) r(t) (L/h) 8.9 2 8.7 4 8.4 6 8.2 8 8 10 7.8 Find lower and upper estimates for the total amount of liquid that leaked out. lower estimate = liters upper estimate = liters

Liquid leaked from a damaged tank at a rate of r(t) liters per hour. The rate decreased as time passed and values of the rate at two-hour time intervals are shown in the table. t (hr) r(t) (L/h) 8.9 2 8.7 4 8.4 6 8.2 8 8 10 7.8 Find lower and upper estimates for the total amount of liquid that leaked out. lower estimate = liters upper estimate = liters

Calculus: Early Transcendentals
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...
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**Description:** This educational webpage explains how to estimate the total amount of liquid that leaked from a damaged tank over a period of time. The rate of leakage is given by \( r(t) \) in liters per hour, with decreasing values at two-hour intervals, as shown in the following table. **Table:** - **Columns:** - \( t \) (hr): Time in hours - \( r(t) \) (L/h): Rate of leakage in liters per hour - **Data:** | \( t \) (hr) | \( r(t) \) (L/h) | |-------------|-----------------| | 0 | 8.9 | | 2 | 8.7 | | 4 | 8.4 | | 6 | 8.2 | | 8 | 8.0 | | 10 | 7.8 | **Task:** Calculate both lower and upper estimates for the total amount of liquid that leaked out using the given rate values. - **Lower estimate** = ______ liters - **Upper estimate** = ______ liters Use the tabulated data to approximate the total volume of leaked liquid based on upper and lower rectangular estimates.
Transcribed Image Text:**Description:** This educational webpage explains how to estimate the total amount of liquid that leaked from a damaged tank over a period of time. The rate of leakage is given by \( r(t) \) in liters per hour, with decreasing values at two-hour intervals, as shown in the following table. **Table:** - **Columns:** - \( t \) (hr): Time in hours - \( r(t) \) (L/h): Rate of leakage in liters per hour - **Data:** | \( t \) (hr) | \( r(t) \) (L/h) | |-------------|-----------------| | 0 | 8.9 | | 2 | 8.7 | | 4 | 8.4 | | 6 | 8.2 | | 8 | 8.0 | | 10 | 7.8 | **Task:** Calculate both lower and upper estimates for the total amount of liquid that leaked out using the given rate values. - **Lower estimate** = ______ liters - **Upper estimate** = ______ liters Use the tabulated data to approximate the total volume of leaked liquid based on upper and lower rectangular estimates.
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