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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
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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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