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(c) Evaluate (R(t) - E(t)) dt. Using correct units, interpret your answer in context of the pr lem.

(c) Evaluate (R(t) - E(t)) dt. Using correct units, interpret your answer in context of the pr lem.

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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B) compute R(1)-E(1). Using correct units, interpret your answer in context of the problem.

(c) Evaluate (R(t) – E(t)) dt. Using correct units, interpret your answer in context of the prob- lem.
Transcribed Image Text:(c) Evaluate (R(t) – E(t)) dt. Using correct units, interpret your answer in context of the prob- lem.
2. Suppose the function R(t), given by 200t + 10 R(1) = 212+15 models the rate, in gallons per hour, at which a water tank is being filled over a 24-hour period. Also, suppose the function E(t), given by 2012-50t + 160 E(t) = 212+15 models the rate, in gallon per hour, at which the water tank is being emptied over the same 24-hour period. The tank contained 50 gallons at time t = 0. 24 (a) Set up and evaluate a midpoint Riemann sum over 4 equal subintervals to approximate R(t) dt. Indicate units of measure. (b) Compute R(1) – E(1). Using correct units, interpret your answer in context of the problem.
Transcribed Image Text:2. Suppose the function R(t), given by 200t + 10 R(1) = 212+15 models the rate, in gallons per hour, at which a water tank is being filled over a 24-hour period. Also, suppose the function E(t), given by 2012-50t + 160 E(t) = 212+15 models the rate, in gallon per hour, at which the water tank is being emptied over the same 24-hour period. The tank contained 50 gallons at time t = 0. 24 (a) Set up and evaluate a midpoint Riemann sum over 4 equal subintervals to approximate R(t) dt. Indicate units of measure. (b) Compute R(1) – E(1). Using correct units, interpret your answer in context of the problem.
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