. The Newton-Raphson method formula for finding the square root of a real number R from the equation, x²-R = 0 is, c. X+1 =(x +) (3x - Xi+1 = 2 a. %3D b. 3x Xi+1 d. Xi+1 =
. The Newton-Raphson method formula for finding the square root of a real number R from the equation, x²-R = 0 is, c. X+1 =(x +) (3x - Xi+1 = 2 a. %3D b. 3x Xi+1 d. Xi+1 =
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:1. The Newton-Raphson method formula for finding the square root of a real number R from the equation,
x²-R = 0 is,
a.
Xi+1
+
2
c. X1+1 =
b.
3x
d. X+1=(3x, -5
Xi+1
2. To ensure that the following system of equation,
= -18
3X, + 20X, - X3 =
20X, +X2 – 2X3 = 17
2X1 – 3X, + 20X3 = 25
is converge using Jacob's method, one can rewrite as:
3
20
1.
-1
-18
2
-3
20
25
a. 20
2
-2 = 17
-18
-2 =
17
с. 20
-3
20
25
3.
20
-1
20
1
-2
17
b.
3
20
-1 = -18
-3
20
25
d. None of them.
3. Given the following table and by using linear interpolation, y (5.3) will be:
5.5
y
1.609
1.704
1.791
а. 1.666
C. 1.776
b. 1.566
d. none of them
2.2
4. The value of xe dx by using one - segment trapezoidal rule is most nearly,
a. 11.672
с. 20.099
b. 11.807
d. 24.119
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