Calculus: An Applied Approach (MindTap Course List)
10th Edition
ISBN: 9781305860919
Author: Ron Larson
Publisher: Cengage Learning
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Chapter B, Problem 8E
To determine
To calculate: The approximate area of the region lying between the graph of
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a. Use a left Riemann sum with the three subintervals indicated by the data in the table to approximate the amount of grain in the silo at 3 minutes.
b. Is the approximation in part a an over or underestimate? explain your reasoning.
a)The approximate net area using a left Riemann sum is
b)Find the midpoint Riemann sum
Left and right Riemann sums Let R be the region bounded by the graphthe x-axis between x = 4 and x = 16.with ƒ(x) = 1/x, does the left Riemannsum or the right Riemann sum overestimate the area under the curve?
Chapter B Solutions
Calculus: An Applied Approach (MindTap Course List)
Ch. B - Using Rectangles to Approximate the Area of a...Ch. B - Prob. 2ECh. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Comparing Riemann Sums Consider a triangle of area...Ch. B - Comparing Riemann Sums Consider a trapezoid of...
Ch. B - Writing a Definite Integral In Exercises 1118, set...Ch. B - Writing a Definite Integral In Exercises 11-18,...Ch. B - Writing a Definite Integral In Exercises 1118, set...Ch. B - Prob. 14ECh. B - Writing a Definite Integral In Exercises 1118, set...Ch. B - Prob. 16ECh. B - Prob. 17ECh. B - Writing a Definite Integral In Exercises 11-18,...Ch. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Prob. 26ECh. B - Prob. 27ECh. B - Finding Areas of Common Geometric Figures In...Ch. B - Prob. 29ECh. B - Prob. 30ECh. B - Prob. 31ECh. B - Prob. 32E
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