Determine an equation in factored form with no square roots for the family of cubic functions with roots −4 and (2 ± √3) .

Q: 2) Use the false position method to find a root of the equation ex + 2-x+ 2cos x = 6 in the interval…

A: Solution :_

Q: A) By using simple Iterative method, find one root of the equation sin x = Use 3D. %3D (x2- In x)3

A: We have sinx=1x2-lnx3 Now, if we need to find a solution of fx=0 then we write fx=0 in the form x=gx…

Q: USE NEWTON-RAPHSON'S METHOD IN FINDING ROOTS f(x) = ex²-2 + √√x + 2-3

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Q: Form the polynomial equation with integral coefficients whose only roots are given. 2,-1,1

A: Given roots are 2,-1,1 Now we have to find the equation of polynomial with

Q: 3. Find the roots using fixed point using initial guess 50.X with an accuracy of 2%

A:

Q: Solve: In(x + 2) – In(4x + 3) = In %3D

A: Given equation is lnx+2-ln4x+3=ln1x.

Q: Form a polynomial equation with integral coefficients whose only roots are given. -1,2,-3

A: Given,           The roots of the polynomial are -1,2,-3

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: Find a real root of 4*exp(-x/2)-3*ln(x)-3 = 0 using False Position method with a=0.1 and b=2.0…

A: f(x)= 4*exp(-x/2)-3*ln(x)-3

Q: Discuss the method of False position to find an approximate root of an equation f(x) = 0. %3D

A: We have to describe the method of false position.

Q: Find a real root of the equationx' +x - 1 =0 by iteration method.

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Q: Estimate the cubed root of 28 using a linear approximation

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Q: +(= Sin3x-5x+ 12 %3D

A: MOSS :- Method of Successive Substitution   Given function is fx =sin3x -5x +12

Q: If you are given the roots of a quadratic function, what other information is needed to determine…

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Q: After two iterations using the Method of Successive Substitutions, what is the root of f(x)= 3x +x'…

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Q: Calculate one of the roots of the equation f(x) = x ^ 3 + x ^ 2 - 2x - 4 = 0 with an error less than…

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Q: Use a linear approximation to estimate the value of the 5th root of 30

A: To find: The fifth root of 30 by using linear approximation: Concept used: Linear approximation of…

Q: Using successive approximation method, find the smallest positive root of x – 64x + 30 = 0, correct…

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Q: ved by "the quadratic formula". Be sure to show your work accordingly.

A: We have to choose the correct answer from the given options

Q: Use a graphing device to find all solutions of the equation, rounded to two decimal places. In x = 3…

A: A solution to an equation is a value which when substituted in the equation gives equal values for…

Q: Solve for x. 3 In (4x) = - 3 Do not round any intermediate computations, and round your answer to…

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Q: 3x ン

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Q: Find root √80 using Newton Raphson method.

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Q: If Newton's method is used to find a root of f(x) = (x – 3)7 = 0, -

A: In this question, we have to check the convergence for a given  function  by newton method.…

Q: 6x + 6.

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Q: Find the root between (2,3) of x3+ - 2x - 5 = 0, by using regular falsi method correct to three…

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Q: Find the iterative scheme for the root of equation x +3x – 4 =0 by iteration method near to 1.2.

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Q: Use Newton-Raphson method to find the required root. Find the largest root of x* – 4x³ + x² + 1.2 =…

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Q: Find the equation of the tangent to (x2+/ 5x2-Уг at the point (1,1). 8.

A: Given curve is: (x2 + y2)2 = 5x2 – y2and the given point is (x1, y1) = (1, 1)Equation of tangent…

Q: Solve by using gamma funcien. 2.2

A: We find value of Gamma (-2.2)

Q: Find an interval of length 1/4in [1, 2] containing a root of the equation x^7 + 3x − 10 = 0.

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Q: sinh 2x cosh 3xdx.

A:

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 a quadratic function with a root at X 5i that also includes the point (2, 14).

A:

Q: obtain a real root of a“ – 5x+1=0 with a = 0 until absolute error < 0.0001

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Q: Find y double prime by implicit differentiation8x^2+y^2=4

A: We have given

Q: of. by + *タ+ 67 =×)n resolvent solve the APC7アーズ タ-S kernal method given voHerra integral equation

A: Given k(x,t)=5-6(x-t) is a polynomial of degree 1 in (x-t) and λ=1. Here, a0=5 and a1=-6. So the…

Q: Solve for x: tanax=-1 -atanx

A:

Q: 3. Find an estimate of all the roots of the equation 5x² ising fixed point iteration. Roots:

A: We have : 3x3=5x2⇒3x3-5x2=0 Now, first we convert fx=0 into x=gx 3x3=5x2Taking ln both…

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: 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: solve the definite integral

A:

Q: Find the root between [-5,-4] where f(x) = (x+2)' – 3x +5 with error =0.1 by using False Position…

A: To Solve the given problem by using Regula Falsi Method to find the Root

Q: Explain the process of extracting roots which are not perfect square

A: We can use Shri Dharacharya method to find the roots of any quadratic equation.

Q: Find all the roots of =-V3+j %3D |

A: In this question, the concept of De Moivre's Formula is applied. All n-th roots of a complex number…

Q: Find the roots of the equation via Secant Method using Excel. Attach the solution in excel file.…

A: To find the roots of the given equation  fx=ex-cosx-2 with initial guess xi-1=8 and xi=3

Q: Solve by finding the square roots. (Round to the nearest hundredths. If no x-ints, type "none", If…

A: Our Aim is to solve the equation given below by finding the roots.5x2-245=0 (i)

Q: Find the root between [-1,0] where f (x) = (x+2)³ +2x– 5 with error epsilon=0.1 by using False…

A: The false position method uses the formula below to perform the iterations.…