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(c) Use the data in the table to evaluate R' (t) dt. n 1 k 1 (d) The sum) R 4 is a right Riemann 2n 2n k=1 sum with n subintervals of equal length. The limit of this sum as n goes to infinity can be interpreted as a definite integral. Express the limit as a definite integral.

(c) Use the data in the table to evaluate R' (t) dt. n 1 k 1 (d) The sum) R 4 is a right Riemann 2n 2n k=1 sum with n subintervals of equal length. The limit of this sum as n goes to infinity can be interpreted as a definite integral. Express the limit as a definite integral.

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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3 (c) Use the data in the table to evaluate R' (t) dt. . n ) 1 k 1 (d) The sum ) R 4 is a right Riemann 2n 2n k=1 sum with n subintervals of equal length. The limit of this sum as n goes to infinity can be interpreted as a definite integral. Express the limit as a definite integral.
Transcribed Image Text:3 (c) Use the data in the table to evaluate R' (t) dt. . n ) 1 k 1 (d) The sum ) R 4 is a right Riemann 2n 2n k=1 sum with n subintervals of equal length. The limit of this sum as n goes to infinity can be interpreted as a definite integral. Express the limit as a definite integral.
1 3 3 (hours) R (t) (gallons per hour) 11 8 The rate at which water leaks from a container is modeled by the twice-differentiable function R, where R (t) is measured in gallons per hour and t is measured in hours for 0 <t <1. Values of R (t) are given in the table above for selected values of t.
Transcribed Image Text:1 3 3 (hours) R (t) (gallons per hour) 11 8 The rate at which water leaks from a container is modeled by the twice-differentiable function R, where R (t) is measured in gallons per hour and t is measured in hours for 0 <t <1. Values of R (t) are given in the table above for selected values of t.
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