2. a) Estimate the area bounded by the curve and the x-axis on [1, 6] using the 5 equal subintervals by finding: 3 The Left Riemann sum: The Right Riemann sum:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.3: Volume And Average Value
Problem 22E
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2. a) Estimate the area bounded by the curve and the x-axis on [1, 6] using
the 5 equal subintervals by finding:
3
The Left Riemann sum:
The Right Riemann sum:
b) Let R be the region bounded by the graph of f (x) = Vx and x-axis between x = 0 and x = 1. Sketch the
region. Approximate the area of R using a left Riemann sum with n=4 subintervals.
c) Let R be the region bounded by the graph of f (x) = 2x – x² and x-axis between x = 0 and x = 2.
Sketch the region. Approximate the area of R using a right Riemann sum with n=4 subintervals.
Transcribed Image Text:2. a) Estimate the area bounded by the curve and the x-axis on [1, 6] using the 5 equal subintervals by finding: 3 The Left Riemann sum: The Right Riemann sum: b) Let R be the region bounded by the graph of f (x) = Vx and x-axis between x = 0 and x = 1. Sketch the region. Approximate the area of R using a left Riemann sum with n=4 subintervals. c) Let R be the region bounded by the graph of f (x) = 2x – x² and x-axis between x = 0 and x = 2. Sketch the region. Approximate the area of R using a right Riemann sum with n=4 subintervals.
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,