The equation x³ - 1.2x? - 8.19x + 13.23 = 0 has a double root close to x = 2. Determine this root with the Newton-Raphson method within four decimal.

Q: 4. If JN-14x-17 and NL-3x+38, solve for x.

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Q: solve for x.ex = e2x+1

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Q: Use Secant method to solve x3 + 3x2 - 1 = 0, [-3, -2].

A: Secant method can be used to find the root of a function within an interval. Consider two initial…

Q: Starting from x = 1, one step of Newton-Raphson method in solving the equation x³ + 3x-7 = 0 gives…

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Q: Apply Newton's method to find x, , the fourth approximation to the root of the equation S(x)=x° – x*…

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Q: Find a real root of the equation x^4-x-10=0, using Newton-Raphson method correct to four decimal…

A: We have the equation x4-x-10=0 Now, we need to use the Newton-Raphson method to find the root. By…

Q: i) Maktoum was using iterative methods to solve equations in MATLAB. For the equation f(x) = x³ + 5x…

A: According to the given information, it is required to approximate the third iteration according to…

Q: Find root of equation by using newton raphson for 3 decimal point F(x)=x^4-8sin(e^x-x^2)

A: The equation in the form f(x)=0 is called a transcendental equation. The solution of the equation is…

Q: Зх + 1 = 4 – ex 2 – 4x

A: We Calculate the roots of the following equation using (i) Newton Rapson's Method (ii) Bisection…

Q: Use the Newton-Raphson method by finding the next iterative value of the root of f(x) = x4 + x - 1,…

A: Given that, the function is fx=x4+x-1 and the initial guess is x0=0.75. Note that, the formula for…

Q: Solve for x. 5e* +3 =18

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Q: Determine the root of the equation x3 – e–x  + 4 by two open methods and round-off your answers to 3…

A: The given equation is: fx=x3-e-x+4 Two open methods are: Newton's method Secant method

Q: To four decimal places, approximate the solution to the equation: e3z +3 = 6

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Q: The equation x5 + x4 − 5 = 0 has one real solution. Approximate it by Newton’s Method.

A: This is a problem of Newton Raphson method.

Q: Use Newton’s method to estimate the one real solution ofx3 + 3x + 1 = 0. Start with x0 = 0 and then…

A: x3+3x+1=0

Q: will allow as te solve for x?

A: we have to tell which equation will allow us to solve for x.

Q: If a projectile is launched vertically upward from the ground with an initial velocity of 80ft per​…

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Q: To four decimal places, approximate the solution to the equation: e2z +3 = 13 - -

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Q: Solve for x: 200(1.14)* = 3, 410 x = Give an exact answer, or a decimal approximation accurate to at…

A: We need to find x.

Q: Find the root ofx'+x-1 =0 by iteration method, given that root lies near 1.

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Q: Find the root of equation by usung the newton raphson methode f(x) = 0.48x³ -2.7x-5.36

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Q: Use the Newton's Method to solve the equation x + In x = 2. %3D

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Q: The next iterative value of the root of (x^2)-4 using the Newton-Raphson method, if the initial…

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Q: Solve for the Possible roots (maximum of 8th iteration, use 4 decimal places) 2x3 + 5x2 – 2* + 100…

A: We will use Newton Raphson method to find the root near 13 f(x)=2x3+5x2-2x+100 Iteration Formula is:…

Q: find the roots using newtons raphson. Stop until at 15th iteration or when approximate percent…

A: Given function is f(x)=2x4+13x3+29x2+27x+9            (1) Using Newtons-Raphson method, we have to…

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

A: Before starting the solution, let we explain the False Position Method.Intermediate value theorm: A…

Q: 3. Solve xex- 3 = 0, correct to three decimal places by using the Newton- Raphson method.

A: Here, fx=xex-3⇒f'x=xex+ex f1=1*e1-3=-0.2817<0 f2=2*e2-3=11.778>0 Thus root lies between 1 and…

Q: Explain why Newton’s method doesn’t work for findingthe root of the equation x3 -3x  +6 =0 if the…

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Q: Find the root of the following equation through Regula falsi method

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Q: Use Newton-Raphson method to obtain a real root, correct to three decimal places, of the equation:…

A: To solve the following problem we use the formula of Newton Raphson Method  Xn+1 =  xn - fxnf'xn

Q: The equation that gives the depth 'x' to which a ball is submerged underwater is given by x3…

A: Newton's method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations.

Q: Explain why Newton’s method doesn’t work for finding the root of the equation x 3  - 3x +6 = 0 if…

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Q: Approximate the root of the equation x5 – 5x – 4 = 0, beginning xo = 1.6, and continuing until two…

A: For the solution of the problem follow the next step.

Q: Find a root of an equation f(x) = 2x3 - 2x - 5 using Newton Raphson method %3D

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Q: To roughly estimate the locations of the roots of the equation +x + 3 = 0 and then approximate the…

A: The roots of the equation: f(x)=0 lies in the interval: a, b, if f(a)f(b)<0. Newtons method uses…

Q: 0.5(x – 4)2 = 2 + In x

A: To calculate the roots of the equation using (i) Newton Rapson (ii) Bisection iterative techniques

Q: If we use Newton's method to estimate the solution of the equation x ^ 3 + x - 1 = 0, then it is…

A: Given function,  x3 + x - 1 = 0 And initial approximation is x0 = 1. To find next approximation…

Q: 25: Find the root of the equation f(x) = x3 – 4x + 1 giving the answer to s decimal places, by using…

A: Given: f(x)=x3-4x+1

Q: A cyclist riding at 5ms- 1 starts to accelerate, and 200 metres later she is riding at 7ms- 1. Find…

A: We know that the Third Equation of motion is    → v2 = u2 + 2as    ;     Where v = final velocity…

Q: 4. Find the smallest positive root of the equation a-r-10 = 0 using Newton Raphson method correct to…

A: Let fx=x4-x-10 ⇒f'x=4x3-1 Now f1=-10<0, f2=4>0 As f1f2<0 So,  by Intermediate value theorem…

Q: Solve for x. :1 х — 7 Enter an exact answer (not a decimal). x + 8 -

A: To solve for x8x-7-7x+8=1

Q: Plan to use Newton's method to approximate solutions to the equation 9^x +3x^3 + 2x.  Using the…

A: given :- x_0 = 3 f(x) = 9^x + 3x^3 + 2x to find :- x_1.

Q: Use the most appropriate method to solve the equation 5cot2 x - 15 = 0 on the interval [0, 2π). Use…

A: the given equation is: 5cot2x-15=0 we have to solve the given equation on the interval [0,2π). we…

Q: i) Majid was using iterative methods to solve equations in MATLAB. For the equation f(x) = x-2x - 5…

A: Hi there!. You have asked multiple questions. As per our honor code, we will only answer the first…

Q: Q5: Find the root of the equation f(x) =x3 – 4x + 1 giving the answer to 5 decimal places, by using…

A: Using two methods,

Q: Derive the iterative formula for Newton Raphson method, and using this formula, find the root of…

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Q: Starting from x= 1, one step of Newton-Raphson method in solving the equation x³ + 3x-7 = 0 gives…

A: Newton Raphson method uses the formula xn+1=xn-f(xn)f'(xn) to perform the iterations. Here, xn is…

Q: Find a root of the x^4-27=0 equation using the Newton Raphson method (in 4 steps)

A: The given equation is x4-27=0. Let fx=x4-27. Then, f'x=4x3 Here, f2=24-27=16-27=-11<0…