Suppose that we want to approximate In(2) using numerical quadrature and if the function used in the integral is f(x) = = 1 Select one: O a. If we use the composite midpoint rule with three applications of the midpoint rule and with all nodes are equally-spaced, then xo = 1, x1 = á, 7 11 .', x5 = 4, x6 = 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 xo = 0, x1 = , x5 = , X6 = 1. %3D 6' O c. If we use the composite Simpson's rule with two applications of the Simpson's rule and with all nodes are equally-spaced, then xo = 1, x1 7 *' , X5 = 4, 2. ...
Suppose that we want to approximate In(2) using numerical quadrature and if the function used in the integral is f(x) = = 1 Select one: O a. If we use the composite midpoint rule with three applications of the midpoint rule and with all nodes are equally-spaced, then xo = 1, x1 = á, 7 11 .', x5 = 4, x6 = 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 xo = 0, x1 = , x5 = , X6 = 1. %3D 6' O c. If we use the composite Simpson's rule with two applications of the Simpson's rule and with all nodes are equally-spaced, then xo = 1, x1 7 *' , X5 = 4, 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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#Numerical analysis#
Transcribed Image Text:Suppose that we want to approximate In(2) using numerical quadrature and if the function
used in the integral is f(x) = =
1
Select one:
O a. If we use the composite midpoint rule with three applications of the midpoint rule and
with all nodes are equally-spaced, then xo = 1, x1 = 6,… , x5
7
11
, T6 = 2
6
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 xo = 0, x1 =
5
', X5
%3D
6» X6 = 1.
O c. If we use the composite Simpson's rule with two applications of the Simpson's
rule and with all nodes are equally-spaced, then
11
xo = 1, x1 =
' , X5 = , x6 = 2.
6
O d. If we use the composite Simpson's rule with three applications of the Simpson's rule
and with all nodes are equally-spaced, then
X-1 = 1, xo =
11
2.
...
', X4 =
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