Solve for the only positive value of x that satisfies the equation -1 = 1/2 (1-e²³) x-1= Using the following methods: a. Bisection method b. Regula-Falsi method c. Fixed-Point iteration d. Newton-Raphson method Use a tolerance of 0.0001. Show the detailed calculation of the first 2 iterations. Show the complete table of iteration.

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A: Given function is gx = lnx4 = 0.70 when   lnx4 = 0.70⇒lnx4 - 0.70=0⇒ hx = lnx4 - 0.70 initial…

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Q: Solve for the root (5 decimal places) of the following equations using: A.) Incremental Search…

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Q: 4) Use the fixed-point iteration method to estimate one of the roots of x2 = 2x + 3 with an accuracy…

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Q: b. Jacobi Iteration (Use &, = 0.1%)

A: Given system is 2x1 -6x2-x3=-38-3x1-x2+7x3=-34-8x1+x2+2x3=-20

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Q: Q1: - Use N.R.S. Method to solve the equation f(x) = e-* - cos x start %3D with x0 = 1 and use four…

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Q: Find the iterative formula to calculate VA using Newton-Raphson method Select one: (2-A) 5a Xk+1 %3D…

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Q: If the constant bounding the error in the Euler method is 0.2 and you wanted a 9 decimal place…

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Q: Determine one real root of h(x) = In between -0.9 and -0.2 using the Bisection Method. Compute the…

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Q: 2. Estimate the root of f(x) = In x; ɛEs = 0.1%. Start the computation with values of xl = xi-1 =…

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Q: Find the fifth iteration value of an extremum (maximum/minimum) value of          f(x) = 5sin2x -…

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A: Interval:

Q: 6.4 Determine the real roots of f(x) = -1.5+6r-3.9x² +0.5x: (a) graphically and (b) using the…

A: Given: 6.4) f(x)=-1.5+6x-3.9x2+0.5x3 To find: Root of given function: a) graphically and b)…

Q: 6) Use the fixed-point iteration method to estimate one of the roots of x2 = 2x + 3 with an accuracy…

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Q: Solve for the only positive value of x that satisfies the equation **-1 = -√(1-e-*) Using the…

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Q: Use Newton-Raphson Method to estimate the roots of the following functions employing an initial…

A: Solution: Here f1=x2+xy+y2-7=0      ......(1) f2=x3+y3-9=0             ......(2) Now, ∂f1∂x=2x+y…

Q: Find the third iteration value of an extremum (maximum/minimum value) of z F2.png ... f(x) = In(ax +…

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Q: Let f(x) = 2x3 − 11.7x2 + 17.7x − 5. Use Fixed-point iteration method starting with the initial…

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Q: 20 3 -1 1 -7 X1 14 1 -3 1 8. X2 -2 12 2 1 X3 7. -3 -1 18 -4 8. X4 18 1 -3 -3 17 -1 X5 4 -1 2 10 -1…

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Q: Determine the magnitude value x that will output a value of-10 V using Fixed point iteration method.…

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Q: USE THE REGULA-FALSI METHOD TO APPROXIMATE THE SOLUTION TO f(x)=x-cx (x) [1,2] CALCULATE UP TO 5…

A: ; We have find the value of x using Regula-falsi method.

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