Let f(x) = 5 + 2x2 (a) Estimate the area under the graph of f, the x-axis, and the lines x=−1 and x=2 using three rectangles and a right endpoints. R3 = Improve your estimate by using six rectangles. R6 =
Let f(x) = 5 + 2x2 (a) Estimate the area under the graph of f, the x-axis, and the lines x=−1 and x=2 using three rectangles and a right endpoints. R3 = Improve your estimate by using six rectangles. R6 =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 21T
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Question
Let f(x) = 5 + 2x2
(a) Estimate the area under the graph of f, the x-axis, and the lines x=−1 and x=2 using three rectangles and a right endpoints.
R3 =
Improve your estimate by using six rectangles.
R6 =
(b) Repeat part (a) using a left endpoints.
L3 =
L6 =
(c) Repeat part (a) using a midpoints.
M3 =
M6 =
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Step 1: Introduce to the given information
VIEWStep 2: Introduce to the formulas to be used
VIEWStep 3: Determining the del x and the subintervals for n = 3
VIEWStep 4: Determining the del x and the subintervals for n = 6
VIEWStep 5: (a) Estimating the area under the graph of f using right endpoints
VIEWStep 6: (b) Estimating the area under the graph of f using left endpoints
VIEWStep 7: (c) Estimating the area under the graph of f using midpoints
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