Q. Consider the function f (x) = x°+4x²-10= 0. Write a code on MATLAB using algorithm below to find approximate a root of (f) using Newton's Method.

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In Matlab code
Q. Consider the function f (x) = x°+4x?-10= 0. Write a code on MATLAB using
algorithm below to find approximate a root of (f) using Newton's Method.
NewtonAlgorithm:
INPUT initial approximation po; tolerance TOL; maximum number of iterations NO.
OUTPUT approximate solution p or message of failure.
Step 1 Set i=1.
Step 2 While isNO do Steps 3-6.
Step 3 Set i=i+1;
Step 4 Set p-p0 -fро) / f(pо).
Step 5 Iflp-pol < TOL then OUTPUT (p);
(The procedure was successful.)
STOP.
Step 6 Set po =p.(Update po.)
Step 7 OUTPUT ('The method failed after NO iterations, NO =', NO); (The procedure
was unsuccessful.)
STOP.
Transcribed Image Text:Q. Consider the function f (x) = x°+4x?-10= 0. Write a code on MATLAB using algorithm below to find approximate a root of (f) using Newton's Method. NewtonAlgorithm: INPUT initial approximation po; tolerance TOL; maximum number of iterations NO. OUTPUT approximate solution p or message of failure. Step 1 Set i=1. Step 2 While isNO do Steps 3-6. Step 3 Set i=i+1; Step 4 Set p-p0 -fро) / f(pо). Step 5 Iflp-pol < TOL then OUTPUT (p); (The procedure was successful.) STOP. Step 6 Set po =p.(Update po.) Step 7 OUTPUT ('The method failed after NO iterations, NO =', NO); (The procedure was unsuccessful.) STOP.
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