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Mathematical Methods by Pearson
book

Mathematical Methods by Pearson

by E. Rukmangadachari
May 2024
Intermediate to advanced content levelIntermediate to advanced
437 pages
17h 41m
English
Pearson India
Content preview from Mathematical Methods by Pearson
A-40 Mathematical Methods
3. Newton’s iterative formula for finding the square
root of a positive number N is x
n+1
= _______.
Ans:
1
()
2
nn
xNx
4. Newton’s iterative formula for finding the recip-
rocal of a number x
n+1
= _______.
Ans: x
n
(2 Nx
n
)
5. Newton iterative formula for finding the pth
root of a positive number N is x
n+1
= _______.
Ans:
1
1
(1) ( )
p
nn
pxNx
p
⎡⎤
−+
⎣⎦
6. Newton’s iterative formula for finding the cube
root of a number N is x
n+1
= _______.
Ans:
2
1
2
3
n
n
N
x
x
⎡⎤
+
⎢⎥
⎣⎦
7. The cube root of 24 by Newton’s formula, taking
x
0
= 3 is _______. Ans: 2.889
8. The square root of 35 by Newton’s formula
taking x
0
= 6 is _______. ...
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Publisher Resources

ISBN: 9781299446557Publisher Website