(a) Sketch the graph of the function on the given interval. Illustrate the midpoint Riemann sum by sketching the appropriate rectangles. Calculate the midpoint Riemann sum for n=4, being sure to show all work. Use a calculator to calculate the left Riemann sum for n=64. f(x)= 1-x^2 on [0,2] ; n=4
(a) Sketch the graph of the function on the given interval. Illustrate the midpoint Riemann sum by sketching the appropriate rectangles. Calculate the midpoint Riemann sum for n=4, being sure to show all work. Use a calculator to calculate the left Riemann sum for n=64. f(x)= 1-x^2 on [0,2] ; n=4
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.1: Infinite Sequences And Summation Notation
Problem 73E
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Show all work, thank you!
Not sure if my calculator got the right answer, so wanted to double check that as well. Can use a TI-84 plus calculator.
![(a) Sketch the graph of the function on
the given interval. Illustrate the
midpoint Riemann sum by sketching
the appropriate rectangles. Calculate
the midpoint Riemann sum for n=4,
being sure to show all work. Use a
calculator to calculate the left
Riemann sum for n=64. f(x)= 1-x^2 on
[0,2] ; n=4
(b) For the previous function on the
given interval, calculate the definite
integral using the infinite limit of the
Right Riemann Sum.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F627ffe10-a730-4e4c-b7e9-b306478e5985%2F00afbaef-c841-443e-8347-d19697f5a03c%2Fwc9ny1q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Sketch the graph of the function on
the given interval. Illustrate the
midpoint Riemann sum by sketching
the appropriate rectangles. Calculate
the midpoint Riemann sum for n=4,
being sure to show all work. Use a
calculator to calculate the left
Riemann sum for n=64. f(x)= 1-x^2 on
[0,2] ; n=4
(b) For the previous function on the
given interval, calculate the definite
integral using the infinite limit of the
Right Riemann Sum.
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