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. L, Riemann sum ii. Riemann sum iii. R. Riemann sum Riemann sum iv. M4

Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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:
Riemann sum
i. L2
Riemann sum
ji. LA
iii. R, Riemann sum
iv. M, Riemann sum
4
(b) Does the R, Riemann sum give an overestimate or an underestimate of the exact area?
4
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: Riemann sum i. L2 Riemann sum ji. LA iii. R, Riemann sum iv. M, Riemann sum 4 (b) Does the R, Riemann sum give an overestimate or an underestimate of the exact area? 4
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