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Consider the function f'(x) = ² +2. (a) Find the Riemann sum for the area under f'(x) between x=3 and x=-7 using right endpoints and n = 4. (b) Find the Riemann sum for this same area, using left endpoints and n = 4. The following is an alternate way of wording the same problem: Consider the function f'(x) given above. The function gives the rate of change of a bacteria's mass as a function of time, x. a) Find the change in mass of the bacteria on the interval giver in problem. Split the interval into four equal time intervals and pretend the rate of change is constant on each interval. Use the right end point of each interval as your estimate for constant rate of change. b) Find the change in mass of the bacteria during the same time period as part a). Use the left end point of each of your four intervals to estimate your constant rate of change.

Consider the function f'(x) = ² +2. (a) Find the Riemann sum for the area under f'(x) between x=3 and x=-7 using right endpoints and n = 4. (b) Find the Riemann sum for this same area, using left endpoints and n = 4. The following is an alternate way of wording the same problem: Consider the function f'(x) given above. The function gives the rate of change of a bacteria's mass as a function of time, x. a) Find the change in mass of the bacteria on the interval giver in problem. Split the interval into four equal time intervals and pretend the rate of change is constant on each interval. Use the right end point of each interval as your estimate for constant rate of change. b) Find the change in mass of the bacteria during the same time period as part a). Use the left end point of each of your four intervals to estimate your constant rate of change.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Consider the function f'(x) = ² + 2. x (a) Find the Riemann sum for the area under f'(x) between x=3 and x=7 using right endpoints and n = 4. (b) Find the Riemann sum for this same area, using left endpoints and n = 4. The following is an alternate way of wording the same problem: Consider the function f'(x) given above. The function gives the rate of change of a bacteria's mass as a function of time, x. a) Find the change in mass of the bacteria on the interval giver in problem. Split the interval into four equal time intervals and pretend the rate of change is constant on each interval. Use the right end point of each interval as your estimate for constant rate of change. b) Find the change in mass of the bacteria during the same time period as part a). Use the left end point of each of your four intervals to estimate your constant rate of change.
Transcribed Image Text:Consider the function f'(x) = ² + 2. x (a) Find the Riemann sum for the area under f'(x) between x=3 and x=7 using right endpoints and n = 4. (b) Find the Riemann sum for this same area, using left endpoints and n = 4. The following is an alternate way of wording the same problem: Consider the function f'(x) given above. The function gives the rate of change of a bacteria's mass as a function of time, x. a) Find the change in mass of the bacteria on the interval giver in problem. Split the interval into four equal time intervals and pretend the rate of change is constant on each interval. Use the right end point of each interval as your estimate for constant rate of change. b) Find the change in mass of the bacteria during the same time period as part a). Use the left end point of each of your four intervals to estimate your constant rate of change.
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