Consider the function f(x) = x³ + 2x + 5. 1. Estimate the root to two significant digits using bisection method in the interval [-1.4, −1]. n an Xn error bn -1 0 -1.4 1 2 3 4 5 6 7 8 9 10 2. Estimate the root to eight significant digits using Newton Raphson Method with initial estimate -2. n Xn error 0 -2 1 2 3 4 5 6 7 8 9 10

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Consider the function f(x) = x³ + 2x + 5.
1. Estimate the root to two significant digits using bisection method in the interval [-1.4, −1].
n
error
Xn
an
-1.4
bn
-1
0
1
2
3
4
5
6
7
8
9
10
2. Estimate the root to eight significant digits using Newton Raphson Method with initial estimate -2.
n
Xn
error
0
-2
1
2
3
4
5
6
7
8
9
10
Transcribed Image Text:Consider the function f(x) = x³ + 2x + 5. 1. Estimate the root to two significant digits using bisection method in the interval [-1.4, −1]. n error Xn an -1.4 bn -1 0 1 2 3 4 5 6 7 8 9 10 2. Estimate the root to eight significant digits using Newton Raphson Method with initial estimate -2. n Xn error 0 -2 1 2 3 4 5 6 7 8 9 10
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