1. Find one real root of h (x) = 3x² – 2x = 0.5 with an error less than 5% on the interval from -1.5 to 2. How many iterations were needed to find the answer?

Q: 1. The next iterative value of the root of (X2-4 = 0) using the Newton-Raphson method, if the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find one real root of g (x) = In(x*) = 0.70 between 1 and 2. How many number of iterations were…

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

Q: Approximate the lowest real root of f(x) = -1 + 5.5x - 4x2 + 0.5x using Newton- Raphson method.…

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Q: 1. Solve the approximate root of f(x) = x^5 - 3 using at least 5 iterations on Bisection Method with…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: After 5 iterations of Fixed-Point Iteration Method, solve for one real root of +2z + 10x-20 =0 using…

A: Solution :     The method works as             xn+1 = 20/(xn2 + 2xn + 10)  Initian guess : x0 = 1.…

Q: Answer the following within 10-5. Using the method that used in the images. 1. Use Fixed-point…

A: We have sinx-e-x=0 and the interval is 0,1 We choose the initial value x0=0 We need to find the root…

Q: 14. Find the root of f(x) = e¯* – x correct to two decimal places using fixed point iteration…

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Q: How do we solve for t? I can solve this to t = ln(0.2)/(-k) but I do not know how to solve it in the…

A: 5 ( e ^(-t/30)) = 1  We will solve by using anti log both sides

Q: Solve the root of the equation f(x) = -26+ 82.3X- 88X? + 45.4X - 9X + 0.65X using fixed point…

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Q: 1.Find the roots of the equation f(x) = x³ - x - 1 using xo 1 %3D %3D For 4 iteration by fixed…

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Q: Q2: Using the fixed point iteration method to find a root in [0,1] for f(x)=4x2+2x-1=O, * E=0.005

A: Question: Objective is to find a root of the equation fx=4x2+2x-1=0 by the fixed point iteration…

Q: Q.4. Determine the negative root of: f(x) = x' – x² - 5x – 3 using the most suitable Newton-Raphson…

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Q: Since a certain virus has been contained in Wakanda, researchers has proven that it will be…

A: Given,             Since a certain virus has been contained in Wakanda, researchers have proven that…

Q: 13. Suppose that we want to find the root to x3-7x2+8x-3=0. Is it possible to use xo=4 as the…

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Q: A quadratic equation x4-x-8=O is defined with an initial guess of 1 and 2. Find the approximated…

A: We need to find value of x2 using secant method.

Q: 2x2+3x−20 has root(s) at x=

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Q: Calculate the first six iterates in the following iteration with xo = 1. Xn+1 0.3+ sin(x) -

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Q: A quadratic equation x^2- 4x+4=O is defined with an initial guess of x(0)=3 and x(1)=2.5. Find the…

A: The complete solutions are given below

Q: The next iterative value of the root of x² – 4= 0 using the Newton-Raphson method, if the initial…

A: Newton-Raphson method: It is one of the most widely used numerical methods for the approximate…

Q: Estimate one real root of f (x) = 0.95x3 - 5.9a2 + 10.9x - 6 using three iterations of Newton…

A: Given function is  f(x)=0.95x3-5.9x2+10.9x-6 we have to estimate one root using the Newton-Raphson…

Q: 2. Use the Newton-Raphson iteration method to estimate the root of the following function employing…

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Q: 1. The initial guesses of the roots are x-1 = 2.5 and x, = 3.5 , what is the next iterative value of…

A: According to our company guidelines, we can solve the first question only and the rest can be…

Q: method

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Q: 3. Use the Newton-Raphson method to find the root of f(x) = e-0.5x(4 – x) – 2 Employ initial guesses…

A: Newton Raphson method

Q: 3. Determine the lowest positive root of f(x) = x³ – 6x2 + 11x – 6.1 by using the Newton- Raphson…

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Q: 1. Solve the approximate root of f(x) = x^5 -3 using at least 5 iterations on Bisection Method with…

A: Given function is f(x)=x5-3 With a=0, b=10 Here f(0)=-3<0f(10)=9997>0 Since f(0)f(10)<0…

Q: 1. Solve one real root of e" – 2x – 5 = 0 - with Xo = –2 Iteration Method until absolute error <…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 4) To find the root of the equation x² - 3 = 0 using the fixed point method in [1,2], one of the…

A: The given problem is to find the iteration formula for finding the root of the given equation x2-3=0…

Q: 2. Use Fixed-Point Iteration Method to obtain a real root of a- 5x +1 0with xo = 0 accurate to six…

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Q: Find the necessary number of iterations, to obtain the solution of the equation x = tag * (x) in the…

A: x0=4 and x1=4.5f(x0)=f(4)=2.842 and f(x1)=f(4.5)=-0.137  ∴x2=x0-f(x0)⋅x1-x0 f(x1)-f(x0)…

Q: 1. Determine one real root of the equation e* E = 0 using Fixed Point Iteration with ao = 0 until…

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Q: After 5 iterations of Fixed-Point Iteration Method, solve for one real root of x + 2x? + 10x – 20 =…

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Q: Starting with x1 = 2 find the fifth approximation to the root of the equation x 3-2x -5-0. Consider…

A: We will find out the required solution.

Q: Consider the following equation f(x)=x²-2x+2 whose roots we seek with an initial guess of x-4. Fixed…

A: We have to find the correct option.

Q: 3 A real root of the equation x' - 5x +1= 0 lies in the interval 0,1 Perform 4 iterations for Secant…

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Q: 1. Determine one real root of the equation e* I = 0 using Fixed Point Iteration with ro =0 until %ER…

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Q: 6. The equation x² + ax +b = 0, has two real roots a and ß. Show that the iteration method -(axx+b)…

A: The given problem is to the condition for the iteration method convergence near x=α. Given equation…

Q: Solve the equation for x In(x+ 1) + In(x – 1) = 1

A: Solve the equation for xlnx+1+lnx-1=1

Q: (x – 2)² – In x = 0, [1,2]

A: Given: f(x)=x-22-ln(x), 1, 2 To find: Root of a function in given interval.

Q: 4) To find the root of the equation x²-3 = 0 using the fixed point method in [1,2], one of the…

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Q: A culture of bacteria has an initial population of 9700 bacteria and doubles every 2 hours. Using…

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Q: Solve one real root of e 2x – 5 = 0 - with To = - using the Fixed-Point Iteration Method until…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 1- Using Newton Raphson method solve xlog, =12.36 with xo = 10, to 3 iterations?

A: It is given that

Q: 2. Solve by Newton Raphson method. (5 iterations) x + In x = 2, Xo = 2 %3D

A: As you post multiple questions According to guidelines I only solve the first problem, please post…

Q: Q1) Use the Newton-Raphson Method to estimate the root of f(x) = x - 2sin (x), employing an initial…

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Q: 2. Use the Newton-Raphson method to find a root of the equation x - 2x - 5 = 0 and an %3D initial…

A: 2. Given equation is f(x)= x3-2x-5 f'(x)=3x2-2 x0=0 First Iteration:  First iteration:…

Q: = 1.5 to estimate the solution of the 3) Use the secant method with po = 1, p1 equation x = x + 4,…

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Q: 1. Find one real root of g (x) = ln(x*) = 0.70 between 1 and 2. How many number of iterations were…

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Q: 1. Use Fixed-Point Iteration Method and Newton Raphson Method to obtain a real root of 5a +1 0with…

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Q: In solving one real root of tan x = 4x, what will be the appropriate iterative formula for the…

A: Given equation is tan(x) = 4x