Find a root of an equation f(x) = x³ – x – 1 using False position method and bisection method.

Q: Find the perticular number or orthogonal trajectories of x2+cy2=1 passing through the point (2,1)

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Q: Jse Müller's method to find the roots of f(x) = x3 + 3.5x2 – 40 with x2=1 and 8 = 0.01, and E, =…

A: Given: fx=x3+3.5x2-40 And, With  x2=1 δ=0.01εs=0.01% Formula used: Using miller method…

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: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

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Q: B\ find the root of f(x)=x-x-1, in [1, 2] with 4 decimal places and E-0.009 by using Interval…

A: Given:   fx=x2-x-1 in 1,2

Q: Find the smallest positive root for the given function by using secant method. S(x) = 4 In(x') – x²…

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Q: f(x) Vx+1

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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: Find the roots of an equation f(x)= x^3-x-1 using four iterations of bisection method. Compute also…

A: I am attaching image so that you understand each and every step.

Q: Find an estimate of the root of the equation: xX - 6x = 0 located in the interval (2,3) using…

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Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: By intermediate value theorem, if fx is continuous on an interval  a,b and fa≠fb, then there exist a…

Q: Find linearization L(x) of f (x) = Vx at a =4 and use to approximate 7.8.

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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: Find the roots of the function f(x)=(2x-1)(x2+2x-3) with x belong to R

A: f(x)=(2x-1)(x2+2x-3)=0 We have find all the real numbers that make f(x)=0 because it is given that x…

Q: find the orthogonal trajection of the family of curves x2+y2=a2

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Q: Find the interpolating polynomial of degree two for f(x) cos(r2) +r on the interval [-1, 1] using…

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Q: Determine the root of the equation x³ + x² = 1 in the interval [0, 1] by using bisection method.

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Q: 5. Show that the function f (x) has roots between (0,2) x² + 2x – 3 f(x) x - 1

A: To show the f(x) has roots between a and b we have to show that

Q: 2. Find an estimate of the root of the equation: 2* + Vx² +5 =20 using regula-falsi method. Ans

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Q: Find the second iteration value of an extremum (maximum/minimum value) of f(x) = 5sin2x - bx2 - cx…

A: Given the function fx=5sin2x-2x2-4x. The initial guesses are x1=0, x2=1, x3=1.5. The Quadratic…

Q: determine the smallest positive root of x^2-5x+1=0. using method of successive approximations,…

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Q: Vhat is the largest output value of the function z = 2x + 2y that can be obtained by plugging in…

A: In this question, the value of the function is checked at the corner point. The maximum value of the…

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: what is the quadratic polynomial for the function f(x,y) sin(xy) + cos(x/y) at (pie/4, 1) (show…

A: We will find out the required value.

Q: Find the smallest positive root by using fixed-point method f(x) = In(3x)– x² +2 with three…

A: we have f(x)=ln(3x)-x2+2=0 x2=ln(3x)+2x=ln(3x)+2using fixed point iterationxn+1=ln(3xn)+2take…

Q: Find the orthogonal trajection of the family of curves x2+y2=a2

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Q: Find the rod of greatest length that can be inserted between y= square root of x and y=x^3…

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Q: (A) Find the absolute maxima and minima for y 4x +1 over 3 - [-V5, V5]. (B) Use the second…

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Q: 8. Find a negative root of the equation x-x +11 = 0,correct to 4 decimals using bisection methods.

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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: What is the second iterative value of the root f(x) = x2 - 3. with the initial bracket [1, 2] using…

A: To find The second iterative value of the root of f(x) using the bisection method.

Q: f(x) = x - e-x?

A: Use bisection method to find a root.

Q: Find all critical points of f(x) = 3 + 12x - x² and use the First Derivative Test to determine…

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

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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 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: Find an estimate for the positive root of x³-x²-x+1=0 using seven iterations of the Fixed-Point…

A: The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: Proceed as shown below...

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: 5. Show that the function f (x) has roots between (0,2) x² + 2x – 3 f (x) = X - 1

A: Given that

Q: Find the roots of the given equation where f(x) = 0 with the stopping criterion of 0.001. f(x) = (x…

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

Q: estimate the Root for fox) = X-sinvx USing Simple Fixed Point Iteration with Xo = 1, Es = 17

A: Given that fx=x-sinx, x0=1 and εs=1% The objectie is to find the root using simple fixed-point…

Q: Consider the function f (x) = x2 -- 2 1. Plot f(x) showing its roots 2. Find all the roots using a.…

A: Given :-  The function fx = x2 -exx-2 To Determine :-  Plot the graph showing all the roots. The…

Q: find the roots of the equation x*cos(x) = -1 In[-2,4] using bisection method with error = or less…

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

Q: Find the root of f(x)=(x^2)-5, in interval [0,4] by using bisection method.

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