Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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5. (a) If f(x) = x · 2", give an estimate of the net area of the region bounded by fand the x-axis
on [1, 5] using the:
i. L̟ Riemann sum
ii. L, Riemann sum
iii. R¸ Riemann sum
4
iv. M, Riemann sum
(b) Does the R¸ Riemann sum give an overestimate or an underestimate of the exact area?
4
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Transcribed Image Text:5. (a) If f(x) = x · 2", give an estimate of the net area of the region bounded by fand the x-axis on [1, 5] using the: i. L̟ Riemann sum ii. L, Riemann sum iii. R¸ Riemann sum 4 iv. M, Riemann sum (b) Does the R¸ Riemann sum give an overestimate or an underestimate of the exact area? 4
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