A graphing calculator may used for the following problem. t (hours) 2 4 8 10 S(t) (°C) 142 210 254 280 274 268 The temperature of water in a solar steam power system, for time 0 < t < 10, is modeled by the differentiable function S, where t is measured in hours. Selected values of S(t) are given in the table above and represent the temperature in degrees Celsius of the water in the solar steam power system. a) Use the data in the table to evaluate "s'(t) dt. Using correct units, interpret the meaning of S°s'(t) dt in the context of this problem. b) For 0sts6, approximate the average temperature of the water in the system using a right Riemann approximation. Determine if the approximation is an overestimate or an underestimate. Justify your answer. c) For 10 sts 20 the change in the temperature of the water in the system can be modeled by the 2- 100 equation S'(t) = -V2xe of the system for the given interval. Interpret your answer in the context of this problem. Using this model, determine the total change in the temperature
A graphing calculator may used for the following problem. t (hours) 2 4 8 10 S(t) (°C) 142 210 254 280 274 268 The temperature of water in a solar steam power system, for time 0 < t < 10, is modeled by the differentiable function S, where t is measured in hours. Selected values of S(t) are given in the table above and represent the temperature in degrees Celsius of the water in the solar steam power system. a) Use the data in the table to evaluate "s'(t) dt. Using correct units, interpret the meaning of S°s'(t) dt in the context of this problem. b) For 0sts6, approximate the average temperature of the water in the system using a right Riemann approximation. Determine if the approximation is an overestimate or an underestimate. Justify your answer. c) For 10 sts 20 the change in the temperature of the water in the system can be modeled by the 2- 100 equation S'(t) = -V2xe of the system for the given interval. Interpret your answer in the context of this problem. Using this model, determine the total change in the temperature
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Student Guide (continued)
FRQ 1
A graphing calculator may be used for the following problem.
t (hours)
6 8
4
10
S(t)
(°C)
142
210
254
280
274
268
The temperature of water in a solar steam power system, for time 0 <t < 10, is modeled by the
differentiable function S, where t is measured in hours. Selected values of S(t) are given in the table
above and represent the temperature in degrees Celsius of the water in the solar steam power system.
a) Use the data in the table to evaluate " s'(t) dt. Using correct units, interpret the meaning of
S°S'(t) dt in the context of this problem.
b) For 0sts 6, approximate the average temperature of the water in the system using a right
Riemann approximation. Determine if the approximation is an overestimate or an underestimate.
Justify your answer.
c) For 10 st s 20 the change in the temperature of the water in the system can be modeled by the
2 - 100
V2xe
equation S'(t) = -V
of the system for the given interval. Interpret your answer in the context of this problem.
Using this model, determine the total change in the temperature
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