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A graphing calculator is required for the following problem. 1 8 10 15 (hours) R(t) (railcars) 6. 62 80 110 A grain elevator fills each railcar of a train with grain. The number of railcars filled after t hours is given by a differentiable function R for 0 sts 15. Values of R(t) at various times t are given in the table above. a) Use the data in the table to approximate the rate at which the number of filled railcars is changing at time t = 5. Show the computations that lead to your answer. Indicate units of measure. b) Will the instantaneous rate at which the number of filled railcars is changing at some time t be equal to the approximation in part (a)? Justify your answer. c) Use a trapezoidal sum with the four subintervals indicated in the table to estimate ° R(t)dt. 1 (15 Using correct units, interpret the meaning of R(t)dt in the context of this problem. 1 (15 15 Jo

A graphing calculator is required for the following problem. 1 8 10 15 (hours) R(t) (railcars) 6. 62 80 110 A grain elevator fills each railcar of a train with grain. The number of railcars filled after t hours is given by a differentiable function R for 0 sts 15. Values of R(t) at various times t are given in the table above. a) Use the data in the table to approximate the rate at which the number of filled railcars is changing at time t = 5. Show the computations that lead to your answer. Indicate units of measure. b) Will the instantaneous rate at which the number of filled railcars is changing at some time t be equal to the approximation in part (a)? Justify your answer. c) Use a trapezoidal sum with the four subintervals indicated in the table to estimate ° R(t)dt. 1 (15 Using correct units, interpret the meaning of R(t)dt in the context of this problem. 1 (15 15 Jo

Advanced Engineering Mathematics
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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My question is in the picture attached. Please write so that I can understand it. Thank you for everything.

1:28 PM Sun May 9 * 77% 3 of 3 FRQ 2 A graphing calculator is required for the following problem. 1 8 10 15 (hours) R(t) (railcars) 6 62 80 110 A grain elevator fills each railcar of a train with grain. The number of railcars filled after t hours is given by a differentiable function R for 0 <t< 15. Values of R(t) at various times t are given in the table above. a) Use the data in the table to approximate the rate at which the number of filled railcars is changing at time t = 5. Show the computations that lead to your answer. Indicate units of measure. b) Will the instantaneous rate at which the number of filled railcars is changing at some time t be equal to the approximation in part (a)? Justify your answer. 15 c) Use a trapezoidal sum with the four subintervals indicated in the table to estimate R(t)dt. 15 15 Using correct units, interpret the meaning of S R(t)dt in the context of this problem. 15 Jo 15 d) Determine ° R'(t)dt. Using correct units, explain the meaning of the expression in the context of this problem. 15 Jo
Transcribed Image Text:1:28 PM Sun May 9 * 77% 3 of 3 FRQ 2 A graphing calculator is required for the following problem. 1 8 10 15 (hours) R(t) (railcars) 6 62 80 110 A grain elevator fills each railcar of a train with grain. The number of railcars filled after t hours is given by a differentiable function R for 0 <t< 15. Values of R(t) at various times t are given in the table above. a) Use the data in the table to approximate the rate at which the number of filled railcars is changing at time t = 5. Show the computations that lead to your answer. Indicate units of measure. b) Will the instantaneous rate at which the number of filled railcars is changing at some time t be equal to the approximation in part (a)? Justify your answer. 15 c) Use a trapezoidal sum with the four subintervals indicated in the table to estimate R(t)dt. 15 15 Using correct units, interpret the meaning of S R(t)dt in the context of this problem. 15 Jo 15 d) Determine ° R'(t)dt. Using correct units, explain the meaning of the expression in the context of this problem. 15 Jo
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