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1 8 10 15 (hours) R(t) (railcars) 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 - Using correct units, interpret the meaning of- R(t)dt in the context of this problem. R(t)dt. 15 d) Determine LR'(t)dt. Using correct units, explain the meaning of the expression in the context of this problem 15

1 8 10 15 (hours) R(t) (railcars) 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 - Using correct units, interpret the meaning of- R(t)dt in the context of this problem. R(t)dt. 15 d) Determine LR'(t)dt. Using correct units, explain the meaning of the expression in the context of this problem 15

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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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 sts15. 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. Using correct units, interpret the meaning of R(t)dt in the context of this problem. d) Determine - (15 of this problem. R'(t)dt. Using correct units, explain the meaning of the expression in the context
Transcribed Image Text: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 sts15. 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. Using correct units, interpret the meaning of R(t)dt in the context of this problem. d) Determine - (15 of this problem. R'(t)dt. Using correct units, explain the meaning of the expression in the context
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