2. Find the root of the following equation through the different methods, f(x) = x^3 − x − 1 a. Incremental search method b. Bisection method c. Regula falsi method

Q: Estimate the root of following nonlinear equation x – 2x – 1 = 0 using Newton-Raphson method…

A: (a) The given equation is f(x)=x4-2x-1=0 find the derivative f'=4x3-2 initial guess x0=-1…

Q: The slope of the tangent line to the parabola 2x + 4x + 5 at the point (3, 35) is: The equation of…

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Q: 1. Find a real root of the equation x³ – 18 = 0, correct to three decimal places by using Bisection…

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Q: 1. Find an estimate of the root of the equation: 3 = 5x2 located in the interval (0,1) using…

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

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

A: Given: The equation x3-3x+6=0, To determine: The reason why Newton's method doesn't work for finding…

Q: Find the iterative scheme for the root of equation x'+x-5-D0by iteration mrth to 1.5.

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Q: At which iteration shows that the root of a nonlinear equation is Xr = 1.2017 when a = 2 and b = -1…

A: f(x) = 3x^3-5.12x^2+3.4x-1.9 we have a=2, b=-1 then f(a)f(b)<0 so we have root between -1 and 2

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

A: We are given f(x)=1.1288x-sinh(1.3288x)=0 x0=0.5, ∆x=0.1 ,TOL=0.001 Step x f(x) 1 0.5 0.51227…

Q: By fixed-Point Iteration, evaluate f(x) =x² -x- e*starting at x1 = 0.

A: The given function is fx=x2-x-e-x To find: the root of the equation.

Q: 2- Find the approximate roots of the following equation f(x)= 4x – x² -2 = 0 on [0,1], by using…

A: According to the given information it is required to find the approximated roots of the equation…

Q: Find the shortest distance from x²+3y²=12 to the point (4,2).

A: We have to find the shortest distance from x²+3y²=12 to the point (4,2).…

Q: Find one of the roots of function f(x)=x5-14 by applying Newton-Rhapson Method twice. Initial point…

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Q: The slope of the tangent line to the parabola y = 2x“ + 2x + 6 at the point (1, 10) is: The equation…

A: Given,            The parabola is y=2x2+2x+6 and the point is 1,10.

Q: Use the false position method to find a root of the equation (e power x) +(2 power −x) + 2cos x = 6…

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Q: The slope of the tangent line to the parabola y 3x2 + 2x + 6 at the point (5, 91) is: The equation…

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Q: use Newton-Raphson method to obtain a root of equation x'-5x+3=0

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Q: · Use Euler's Method to solve the following problem over the interval from x = 0 to 1.0 using a step…

A: from Euler' method: yn+1=yn+hfxn,yn Where, y'=fx,y=2+3xy  0≤x≤1 and y0=1

Q: The slope of the tangent line to the parabola y 2x2 + 2x + 4 at the point (0, 4) = The equation of…

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Q: I Pind the root of the function byusing Newton- Raphson method) with Xo1,where fcx> = x²_5x +6

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

Q: 4. Use Bisection Method to find an approximation to V3-1 correct to within 10-2 (use an appropriate…

A: To find the approximation of 13-1. To use bisection method we write the given relation in the…

Q: Solve for a root/roots of the functions 2. x2 – 3 sin x + 2 In(x + 1) = 3. 5 Applying both a.…

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Q: At what point on the parabola y =  3 x2+ 2x is the tangent line parallel to the line y = 10x −2? Use…

A: First prinicipal : dydx=limh→0f(x+h)-f(x)h

Q: Find the root of x4 - x - 10 = 0, using the Newton-Raphson method correct to three decimal digits.…

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

A: Given that x2=2x+3 Now using fixed point iteration method x=2x+3ϕx=2x+3…

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

A: We will find out the required root.

Q: 1. While using bisection method to find the solution of the equation f(x)=x*+3x-2=0 on interval [0,…

A: The given equation is x4+3x-2=0 on the interval [0,1] find f(0) f(0)=04+3(0)-2=-2 therefore f(0)=-2…

Q: Sketch on the same coordinate axes, the graphs of y-(x-1) and y=- x-2 Hence, deduce the number of…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the length of the curve (Sketch and Solve) One branched of the curve 9y2=4x3 from x = 0 to…

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Q: - Find the root/s using 1) Fixed-point Iteration and 2) Newton's Method b. f(x) = e-*(x² –- 5x + 2)

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: 1)Given f(x)= In(x)–3x+5 Solve above equation for finding positive root, using a)Bisection Method…

A: Bisection Method: The bisection method is a root finding method that applies to a continuous…

Q: : Find the roots of the equation by: (the error <0.001) f(x) = x* – 3x²+ x + 1 a) Bisection method.…

A: Solution (a). Bisection Method

Q: At what values of x on the curve y= 2x³+13x²+5x+9 does its tangent lines pass through the origin? In…

A: Given equation of curve: y=2x3+13x2+5x+9……1

Q: Find the root of the cubic equation 4x3 + 3x2 – 8x – 2 = 0 in the domain [ 1 , 2 ] using numerical…

A: According to the fundamental theorem of algebra, every algebraic equation has a root. If the…

Q: Find a parabola with equation y = ax2 + bx + c that has slope 5 at x = 1, slope −11 at x = −1, and…

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Q: Finds the solution (roots) f (x)=x^3+ x-1=O using fixed point iteration process

A: To Determine :-  The solution f  x = x3 + x -1 =0 using fixed point iteration process.

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: Find one of the roots of the function using Regula-Falsi method. £ (x) = x- V+1

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Q: Find the quadratic approximation to ƒ(x) = 1/(1 - x) atx = 0.

A: Given,  f(x) = 1/(1 - x) at x = 0

Q: A quadratic equation x--4x+43D0 is defined with an initial guess of 10 and 20. Find the approximated…

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Q: a. e¯* – 3logx = 0 ||

A: Consider the given function as, fx=e-x-3logx Let root lie between 1 and 2 First find f1 and f2…

Q: Finds the solution (roots) f (x)=x^3+ x-1=0 using fixed point iteration process

A: The given equation is. fx=x3+x-1=0                                                ...........1 Here,…

Q: Find the real root of the equation x^5-x^4-x^3-1=0, Which lies between 1.4 and 1.5. correct to four…

A: The given equation is: x5-x4-x3-1=0

Q: 2. Solve the root of the equation of f(x)=-0.5x^2+2.5x+4.5 a.With 3 iterations using the bisection…

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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: Approximate the root of g(x) = 2 + x – eª between 1 and 2 to within 0.05 of the exact value using…

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Q: The slope of the tangent line to the parabola y=2x^2+2x+7 at the point where x=4 is: slope =…

A: The equation of the parabola is y=2x2+2x+7

Q: Use Gauss's method to solve the cyclotomic equation x^6+x^5+x^4+x^3+x^2+x+1=0.

A: Consider the cyclotomic equation,  x6+x5+x4+x3+x2+x+1=0 The objective is to use Gauss's method to…

Q: 1. Find the roots of the cubic equation x– 2x -5 0 correct to 2 decimal points using Newton-Raphson…

A: Topic:- calculus and application of derivatives