(a) Estimate the area under the graph of f(x) = 25 – x from x = 0 to x = 5 using five approximating rectangles and right endpoints. R5 = (b) Repeat part (a) using left endpoints. L5 =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
Question
(a) Estimate the area under the graph of f(x) = 25 – x² from x = 0 to x = 5 using five approximating rectangles and right endpoints.
R5
(b) Repeat part (a) using left endpoints.
L5 :
(c) By looking at a sketch of the graph and the rectangles, determine for each estimate whether it overestimates, underestimates, or is the exact area.
?
1. R5
?
2. L5
Transcribed Image Text:(a) Estimate the area under the graph of f(x) = 25 – x² from x = 0 to x = 5 using five approximating rectangles and right endpoints. R5 (b) Repeat part (a) using left endpoints. L5 : (c) By looking at a sketch of the graph and the rectangles, determine for each estimate whether it overestimates, underestimates, or is the exact area. ? 1. R5 ? 2. L5
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