where w(t) is measured in 74 (c) The grain in the silo is spoiling at a rate modeled by w(t) = 32 · Jsin %3D cubic feet per minute for 0 SIS8 minutes., Using the result from part (b), approximate the amount of unspoiled grain remaining in the silo at time t = 8. (d) Based on the model in part (c), is the amount of unspoiled grain in the silo increasing or decreasing at time t = 6? Show the work that leads to your answer.
where w(t) is measured in 74 (c) The grain in the silo is spoiling at a rate modeled by w(t) = 32 · Jsin %3D cubic feet per minute for 0 SIS8 minutes., Using the result from part (b), approximate the amount of unspoiled grain remaining in the silo at time t = 8. (d) Based on the model in part (c), is the amount of unspoiled grain in the silo increasing or decreasing at time t = 6? Show the work that leads to your answer.
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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Equations and inequalities describe the relationship between two mathematical expressions.
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solve c and d
Transcribed Image Text:cubic feet per minute for 0SIS8 minutes. Using the result from part (b), approximate the amount of
(c) The grain in the silo is spoiling at a rate modeled by w(t) = 32· sin
nt
where w(t) is measured in
unspoiled grain remaining in the silo at time t = 8.
(d) Based on the model in part (c), is the amount of unspoiled grain in the silo increasing or decreasing at
time t = 6 ? Show the work that leads to your answer.
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Transcribed Image Text:1. Grain is being added to a silo. At time t = 0, the silo is empty. The rate at which grain is being added is
(minutes)
1
6
8
g(t)
(cubic feet per minute)
12.8
15.1
20.5
18.3
22.7
modeled by the differentiable function g, where g(t)
minutes. Selected values of g(t) are given in the table above.
measured in cubic feet per minute for 0 s tS8
(a) Using the data in the table, approximate g'(3), Using correct units, interpret the meaning of 8 5) n am
context of the problem.
(b) Write an integral expression that represents the total amount of grain added to the silo from time t = 0 to
time t = 8. Use a right Riemann sum with the four subintervals indicated by the data in the table to
approximate the integral.
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