If In(9) = 2.1972 and In(10)=2.3025, using Langrange polynomial, find In(9.6) and the error. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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If In(9) 2.1972 and In(10)=2.3025, using Langrange polynomial, find
In(9.6) and the error.
%3D
Determine the 3rd degree polynomial which passes through the following
points:
1
y
1
Find the value of C in the following equation. The value of x, =0.066 after applying the
false position method for one iteration on the interval [0,0.11]
x3 - 0.165x2 = c
Find the root of the following equation using Newton Raphson method where
the initial value of x equals to -1 after two iterations
y=x3 + 2x + 4
Find the root of the following equation using Newton Raphson
method where the initial value of x equals to 0.75 after the
second iteration
х - 2
y =
+ 1014el0.26)
103
How many bisection method iterations will be required so that the error in the
approximation is less than 10-9 if the value of the root is between 1 and 2.
The below function has a root on the interval [-3,-1]
f(x) = (x – 4)²(x + 2)
Transcribed Image Text:If In(9) 2.1972 and In(10)=2.3025, using Langrange polynomial, find In(9.6) and the error. %3D Determine the 3rd degree polynomial which passes through the following points: 1 y 1 Find the value of C in the following equation. The value of x, =0.066 after applying the false position method for one iteration on the interval [0,0.11] x3 - 0.165x2 = c Find the root of the following equation using Newton Raphson method where the initial value of x equals to -1 after two iterations y=x3 + 2x + 4 Find the root of the following equation using Newton Raphson method where the initial value of x equals to 0.75 after the second iteration х - 2 y = + 1014el0.26) 103 How many bisection method iterations will be required so that the error in the approximation is less than 10-9 if the value of the root is between 1 and 2. The below function has a root on the interval [-3,-1] f(x) = (x – 4)²(x + 2)
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