Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

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A: Let, f(x)=8x(x−1) +cos(x) 8x(x−1) and cos(x) both are continuous for all real values of x. So, f(x)…

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A: Given,          sin(x)=x2-1

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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…

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Q: 2x и"(х) — и

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Q: f(x) Vx+1

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

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A: Given tan22θ = 1  and -π2≤θ≤π2

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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: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: tan x = 0

A: tan x = 0 The solutions of this equation are of the type x = nπ

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

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Q: Q1)) Find the root of f(x) =x – 3 by False position method with the interval [1,2], for three…

A: Given :  f(x) = x2 - 3  Here x2-3=0  Let f(x)=x2-31st iteration :Here f(1)=-2&lt;0 and f(2)=1&gt;0∴…

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A: Write the provided function in the form of x=ϕ(x) . Use the formula, xn+1=ϕ(xn) to perform the…

Q: Find a root of the equation 3x - √√1+sin x = 0 using iteration method.

A: Bisection method: This method consists in locating the roots of a equation y=fx between a and b. If…

Q: Solve for x: sin^2 x -cos^2 x+1=0

A: Solve the equation

Q: cos2xcosx-sin2xsinx=sqrt2/2

A: Consider the given equation, cos2xcosx-sin2xsinx=22 Consider the formulae, cosAcosB-sinAsinB=cosA+B…

Q: )sin 2x

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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: Find all solutions on interval: 4 cos² x – 3 = 0, 0 < x < 2n

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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: Find all solutions to the equation 10cos(x+2)=3 for 0≤x≤2π. Enter your answers in increasing order…

A: The given equation is: 10cos(x+2)=3...(1)

Q: f(x) = xe-* хе – sin²x

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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 is one of the methods used to find the approximate root of a function in a…

Q: Find all solutions of sec (x -) + 2 = 0 in the interval [0,2n)

A: Given equation is sec(x-π8)+2=0sec(x-π8)=-2We know that sec(x)=1cos(x)So, cos(x-π8)=-12x-π8=2π3 and…

Q: The sum of the absolute max and the absolute min of the function f(x) = = sin 2x + cos is equal to:

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Q: Use a calculator to solve the equation 5sin2 x - 1 = 0 correct to four decimal places, on the…

A: we have the equation  5sin2x-1=0

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

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Q: Find a root of an equation f(x) = 0.842x²-x+ 0.2 using Newton Raphson method

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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: Find all solutions on interval [0, 27): 3 tan²(0) – 1 = 0

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

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Q: Find the general solution of sin²X - sin X-2=0

A: Value of Sinx always lies between -1 and +1.

Q: Consider the function f (x) 4 defined over the interval 3 Find the solution to 3-2x2 f(x) = 88.…

A: solve the equation for value of x.

Q: 9) Show that the equation x+ sin x=1 has at least one solution in the interval0,

A: Given equation is x+sin(x)=1 which can be written as f(x)=x+sin(x)-1 We need to prove that f(x) has…

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: Express irrational solutions in exact form and as a decimal rounded to three decimal places. ( ex +…

A: Express irrational solutions in exact form and as a decimal rounded to three decimal places. (ex+…

Q: Find all solutions of the equation in the interval [0, 2n). V3 sece +2 = 0

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Q: Use the Regula Falsi method and perform two iterations to find root of the equation sin(2x) - e*-1 =…

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Q: Find all solutions in the close interval [0, 2x] of the equation 4 sin(2x)- 3 = 6sin(2.x) – 2 .

A: Given equation : 4sin(2x)-3 = 6sin(2x)-2 Interval = [0,2π] To find solution of equation

Q: Solve for x using secant method using four iterations. Assume xo=1 and x1=1.5 f(x) — 3х* — х + 1…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.