Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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solve c and d

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.
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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. -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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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. Continue question 1 on peming or reuse of
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