Use Newton's method to approximate a root of the equation 3x^7+7x^4+2=0 as follows. Let x1=3  be the initial approximation. The second approximation is ________ and the third approximation is

Q: The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters,…

A: Let base= B  Altitude= H Given that B= 36 , H=50 , dB=0.25 , dH=0.25

Q: Use Newton's method to approximate a nonzero solution of the equation 2sin(x)=x2sin(x)=x as follows.…

A: Let us assume a function f(x)=2sin(x)-xSo, f'(x)=2cos(x)-1

Q: Hi,  I need help with this step-by-step please. Thanks for the help.

A: Given that We find f'(x) using the power rule Then find f(-2) and f'(-2)

Q: QI/Use the Biseetion Method to approximate one of the roots of f(x) 3x 2x+ 6x-8 with interval (1, 2)…

A: We can solve this using bisection method

Q: Explain why Newton's method doesn't work for finding the root of the equation x3 - 3x +1 = 0 if the…

A: Given that

Q: Use Newton’s Method to find the root of the given equation, accurate to six decimal places, that…

A: Given: 2x3-9x2+17x+20=0 in [-1,1] Formula used: xn+1=xn-fxnf'xn

Q: A right triangle's one side is identified to be 150 centimeters long, while the adjacent angle…

A: Given:  θ = π3±π60  radians ---------------------------------------------------------------- To…

Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal places.…

A: Newton's method: The root of a differentiable function fx is obtained by the following recursive…

Q: Using Newton’s method, find the solution of the equation x+ex=0 with an accuracy of 3 decimal…

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Q: Use Newton's method to approximate a root of the equation 5x' + 6x* + 2 = 0 as follows. Let æ1 = 2…

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Q: Use Newton’s method to find all solutions of the equation correct to six decimal places.…

A: x1  = 12x2   = -1.060661 detailed solution with explanation is given below

Q: caclulate  root of the equation  by using newtin raphson method by giving the smallest positive…

A: Given equation is  2cosx+x2-3=0              (i) Let fx=2cosx+x2-3 f1=-0.9194<0f2=0.1677>0…

Q: Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two…

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Q: Use Newton's method with the specified initial approximation x1 to find x3, the third approximation…

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Q: Use Newton's method with the initial approximation x, =2 to find x, the second approximation to a…

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Q: Use Newton's method with initial approximation x, = -2 to find x2, the second approximation to the…

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Q: PROPER

A: We will solve this homogeneous differential equation.

Q: Use Newton's method to approximate a root of the equation x° + x +2 = 0 as follows. Let x1 = - 1 be…

A: Solution:Given     x3+x+2=0   and let x1=-1Formula:xn+1=xn-f(xn)f'(xn)ddx(xn)=nxn-1

Q: Use Newton's method to find all the solutions of the equation correct to eight decimal places. Start…

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Q: Use Newton's method with initial approximation x1 = -2 to find x2, the second approximation to the…

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal places.…

A:

Q: Use Newton's method to approximate a root of the equation 3z7 + 2z¹ + 2 = 0 as follows. 3 be the…

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Q: determine its root using newton-raphson method. Start at x1 = 0 and carry out the first 5…

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Q: Use Newton’s method to find all the roots of theequation correct to eight decimal places. Start by…

A: Consider use the newton method to find the such that .

Q: Use Fixed-point iteration or Newton-Raphson method to find the required root Find the positive root…

A: We will use Newton Raphson method to find the positive root of x2-2sinh(x)+1=0…

Q: Use Newton’s method to find all the roots of theequation correct to eight decimal places. Start by…

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Q: Use Newton’s method to approximate the indicated solution of the equation correct to six decimal…

A:

Q: Use Newton's method to approximate a root of the equation 5x'+ 7x+2 =0 as follows. Let 1 = 3 be the…

A: For Newtons Method we have to calculate xn+1=xn-fxnf'xn  for n=1,2,3,.....

Q: Solve this differential equation by choosing one of these methods: separable variables integrating…

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Q: Use Newton's method to approximate a root of the equation x³ + x + 3 = 0 as follows. Let x1 = %3D -…

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Q: A ball with mass 0.15kg is thrown upward with initial velocity 20m/sec from the roof of a building…

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Q: Use 5 decimal places in all computations and provide computerized solution Determine the fourth root…

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

Q: A differential equation is given. Classify each equation as an ordinary

A: In this question, we have given two differential equations. Here we have to classify it as ODE or…

Q: Euler- cauch equation is used to solve non linear differential equation

A: Cauchy Euler equation is used to solve nonhomogeneous linear differential equation

Q: find the root of the equation 0.5 sin x + x + 1 = 0 using fixed point iteration until a relative…

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal places.…

A: Given polynomial is in the interval -2, -1. The objective is to find the root of equation using…

Q: Use Newton's method to approximate a root of the equation 3x Let a1 = - 1 be the initial…

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Q: Use Newton's method to find the positive root of the equation x2 –- 2 = 0 to five decimal points.…

A: The positive root the equation x2-2=0 to five decimal places is obtained by Newton's method. The…

Q: Use Newton's method to estimate the solutions of the equation 8x +x-1= 0. Start with x, = -1 for the…

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Q: æ° = 6 in [1, 2]

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Q: Use Newton's method with initial approximation x₁ =-2 to find x2, the second approximation to the…

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Q: Obtain the differential equation of the family of curves as described. Draw some representative…

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Q: Use Newton's method to approximate a root of the equation 3sin(x)=x as follows. Let x1=1 be the…

A: Given equation is                                                  3sinx=x we have to find the…

Q: 6. Use Newton's method to find the third approximation to the root of: x* + 2x – 4 = 0. Use x,= 1 as…

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Q: Use Newton’s method with initial approximation x1 =-1to find x2 , the second approximation to the…

A: Given, the function is x3 + x + 3 = 0, and the initial approximation is x1 = -1, we have to find the…

Q: Use Newton's method with initial approximation  x1 = −2  to find x2, the second approximation to the…

A: Given: fx = x3+x+1 = 0x1 = -2----------------------------To find: 2nd approximation to root of f(x)…

Q: solve using Firs Order Linear Differential Equation

A: Topic:- differential equations