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· sinntwhere w(t) is measured inunspoiled 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 attime t = 6 ? Show the work that leads to your answer.-5-GO ON TO THE NEXT PAGE.Ineuthorized copying or reuse ofny part of this page is illegal. 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)168g(t)(cubic feet per minute)12.815.120.518.322.7modeled 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 amcontext of the problem.(b) Write an integral expression that represents the total amount of grain added to the silo from time t = 0 totime t = 8. Use a right Riemann sum with the four subintervals indicated by the data in the table toapproximate the integral.Continue question 1 onpeming or reuse of

As per bartleby guidelines for more than one question asked only one is to be answered please upload…

(minutes) 8 1 6. g(1) (cubic feet per minute) 12.8 15.1 20.5 18.3 22.7 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 modeled by the differentiable function g, where g(t) is measured in cubic feet per minute for 0SIS8 minutes. Selected values of g(t) are given in the table above. (a) Using the data in the table, approximate gʻ(3). Using correct units, interpret the meaning of g'(3) in the 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 %3D approximate the integral.

(minutes) 8 1 6. g(1) (cubic feet per minute) 12.8 15.1 20.5 18.3 22.7 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 modeled by the differentiable function g, where g(t) is measured in cubic feet per minute for 0SIS8 minutes. Selected values of g(t) are given in the table above. (a) Using the data in the table, approximate gʻ(3). Using correct units, interpret the meaning of g'(3) in the 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 %3D approximate the integral.

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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Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

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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.
-5-
GO ON TO THE NEXT PAGE.
Ineuthorized copying or reuse of
ny part of this page is illegal.

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.
Continue question 1 on
peming or reuse of

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