The rate at which water flows into a tank, in gallons per hour, is given by a differentiable function R of time t. The table below gives the rate as measured at various times in an 8-hour time period. t (hours) R(t) (gallons per hour) 0 1.95 2 2.5 3 2.8 7 4 8 4.26 1. Use a trapezoidal sum with the four sub-intervals indicated by the data in the table to estimate JR(t) dt. Using correct units, explain the meaning of your answer in terms of water flow. Give 3 decimal places in your answer.

The rate at which water flows into a tank, in gallons per hour, is given by a differentiable function R of time t. The table below gives the rate as measured at various times in an 8-hour time period. t (hours) R(t) (gallons per hour) 0 1.95 2 2.5 3 2.8 7 4 8 4.26 1. Use a trapezoidal sum with the four sub-intervals indicated by the data in the table to estimate JR(t) dt. Using correct units, explain the meaning of your answer in terms of water flow. Give 3 decimal places in your answer.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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