Suppose that we want to approximate In(2) using numerical quadrature and if the function used in the integral is f(x) = 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 ¤o = 1, ¤1 = , ..,25 = #, L6 = 2 O b. If we use the composite Simpson's rule with three applications of the Simpson's rule and with all nodes *, T4 = , 15 = 2. are equally-spaced, then r_1 = 1, xo = O .If we use the composite Simpson's rule with two applications of the Simpson's rule and with all nodes are equally-spaced, then rg = 1, ¤1 = ? ..*, 25 = #, 16 = 2. 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 xo = 0, x1 = , ..*, 25 ,L6 = 1. %3D
Suppose that we want to approximate In(2) using numerical quadrature and if the function used in the integral is f(x) = 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 ¤o = 1, ¤1 = , ..,25 = #, L6 = 2 O b. If we use the composite Simpson's rule with three applications of the Simpson's rule and with all nodes *, T4 = , 15 = 2. are equally-spaced, then r_1 = 1, xo = O .If we use the composite Simpson's rule with two applications of the Simpson's rule and with all nodes are equally-spaced, then rg = 1, ¤1 = ? ..*, 25 = #, 16 = 2. 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 xo = 0, x1 = , ..*, 25 ,L6 = 1. %3D
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 METHODS
Transcribed Image Text:1
Suppose that we want to approximate In(2) using numerical quadrature and if the function used in the
integral is f(x) =
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 æo = 1, #1 = %, .…,¤5 = #, "6 = 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 r_1 = 1, xo
.** , ¤4 = 4, ¤5 = 2.
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 ao = 1, ¤1 =
..* , T5 = #, ¤6 = 2.
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 xo = 0, ¤1 = ,
.**, 25 = 2, x6 = 1.
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