Given two functions g(x) = x –- 2x and h(x) = 5x² – 10. Show that there exist a value, x in the interval [1,3] where the graph of the two functions intersect and hence determine the x value using Bisection method. Iterate until f (c, ) <ɛ = 0.005.

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Chapter2: Second-order Linear Odes
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Given two functions g(x) = x – 2.x and h(x) =5x² – 10. Show that there exist a value,
x in the interval [1,3] where the graph of the two functions intersect and hence
determine the x value using Bisection method. Iterate until f (c, ) < E = 0.005 .
(а)
(b)
Solve the system of linear equations below by Thomas Algorithm. Give the answers
in 3 decimal places.
Зх, + 8х,
= 7
+ 8x, + 3x,
1
4.x, + 7x, + 2x,
3
2.x, + 5x,
4
II ||
Transcribed Image Text:Given two functions g(x) = x – 2.x and h(x) =5x² – 10. Show that there exist a value, x in the interval [1,3] where the graph of the two functions intersect and hence determine the x value using Bisection method. Iterate until f (c, ) < E = 0.005 . (а) (b) Solve the system of linear equations below by Thomas Algorithm. Give the answers in 3 decimal places. Зх, + 8х, = 7 + 8x, + 3x, 1 4.x, + 7x, + 2x, 3 2.x, + 5x, 4 II ||
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