Answered: ∫ 0↓20^ 8e^0.1t dt (a) intervals of…

∫ 0↓20^ 8e^0.1t dt (a) intervals of width Δt=10 and left-hand endpoints (b) intervals of width Δt=10 and right-hand endpoints (c) intervals of width Δt=5 and left-hand endpoints

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 1SE: Can the average rate of change of a function be constant?

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Question

∫ 0↓20^ 8e^0.1t dt

(a) intervals of width Δt=10 and left-hand endpoints

(b) intervals of width Δt=10 and right-hand endpoints

(d) intervals of width Δt=5 and right-hand endpoints

(e) Sketch rectangles on two graphs below representing your estimates from parts (c) and (d)

(d) Using your answers and the graph, give your best estimate of ∫ 0↓20^ 8e^0.1t dt

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