(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.
(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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(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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