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(a) Estimate R'(2). Show the work that leads to your answer. Indicate units of measure.

(a) Estimate R'(2). Show the work that leads to your answer. Indicate units of measure.

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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1 3 6. (hours) R(t) (liters / hour) 1340 1190 950 740 700 Water is pumped into a tank at a rate modeled by W(1) = 2000e/20 liters per hour for 0 <t < 8, where t hour for 0 < IS8, where t is measured in hours. Water is removed from the tank at a rate modeled by R(t) liters per hour, where R is differentiable and decreasing on 0 <1<8. Selected values of R(1) are shown in the table above. At time t = 0, there are 50,000 liters of water in the tank. (a) Estimate R'(2). Show the work that leads to your answer. Indicate units of measure.
Transcribed Image Text:1 3 6. (hours) R(t) (liters / hour) 1340 1190 950 740 700 Water is pumped into a tank at a rate modeled by W(1) = 2000e/20 liters per hour for 0 <t < 8, where t hour for 0 < IS8, where t is measured in hours. Water is removed from the tank at a rate modeled by R(t) liters per hour, where R is differentiable and decreasing on 0 <1<8. Selected values of R(1) are shown in the table above. At time t = 0, there are 50,000 liters of water in the tank. (a) Estimate R'(2). Show the work that leads to your answer. Indicate units of measure.
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