lat we waht to approximate In(2) using numerical quadrature and if the function used in the gral is f(z) ct one a. If we use the composite Simpson's rule with three applications of the Simpson's rule and with all n are equally-spaced, then z 1, ro 7. b. If we use the composite Simpson's rule with three applications of the Simpson's rule and with all na are equally-spaced, then ze 0. I, 76 1. c. If we use the composite midpoint rule with three applications of the midpoint rule and with all nodes are equally-spaced, then re 1, 1 I= 풍2 d. If we use the composite Simpson's rule with two applications of the Simpson's rule and with all nodes are equally-spaced, then zo 1, z 4 z- 2.
lat we waht to approximate In(2) using numerical quadrature and if the function used in the gral is f(z) ct one a. If we use the composite Simpson's rule with three applications of the Simpson's rule and with all n are equally-spaced, then z 1, ro 7. b. If we use the composite Simpson's rule with three applications of the Simpson's rule and with all na are equally-spaced, then ze 0. I, 76 1. c. If we use the composite midpoint rule with three applications of the midpoint rule and with all nodes are equally-spaced, then re 1, 1 I= 풍2 d. If we use the composite Simpson's rule with two applications of the Simpson's rule and with all nodes are equally-spaced, then zo 1, z 4 z- 2.
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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Transcribed Image Text:Suppose that we want to approximate In(2) using numerical quadrature and if the function used in the
integral is f(z)
Select one:
O a. If we use the composite Simpson's rule with three applications of the Simpson's rule and with all nodes
are equally-spaced, then a 1, ro
,s- 2.
O b. If we use the composite Simpson's rule with three applications of the Simpson's rule and with all nodes
are equally-spaced, then ze
0, z1
음 1.
Oc. If we use the composite midpoint rule with three applications of the midpoint rule and with all nodes
are equally-spaced, then re
1, Is=
O d. If we use the composite Simpson's rule with two applications of the Simpson's rule and with all
1,
nodes are equally-spaced, then zo
***Is , z6 2.
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