I am asking for question #2 please 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 atvarious times in an 8-hour time period.t (hours)R(t) (gallons per hour)02. Is there some time t, 0 < t < 8, such that R'(t) = 0? Justify your answer.1.9522.532.87484.261. 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 youranswer in terms of water flow. Give 3 decimal places in your answer.0

Given: The below table is given, To find: Any value of t in the interval 0<t<8 at which…

Answered: Is there some time t, 0 < t < 8, such…

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Is there some time t, 0 < t < 8, such that R'(t) = 0? Justify 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

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Question

I am asking for question #2 please

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
2. Is there some time t, 0 < t < 8, such that R'(t) = 0? Justify your answer.
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.
0

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