Consider the function f (x) = x – 4 sin (x) 1. Using Fixed-Point Method, what equation of x will give you 5th to 6th iteration to find one of the roots of x using initial value of 2. 4 sin(x) а. X = b. 4 sin(x) *() C. sin 1 d. Initial value not valid А В C D

Q: Use fixed pint iterative method to find the value of the estimated root in third iteration for the…

A: ∴x=x8-x5sin(x)+x2∴ϕ(x)=x8-x5sin(x)+x2x1=ϕ(x0)=ϕ(0.8)=-0.1178x2=ϕ(x1)=ϕ(-0.1178)=-0.0002x3=ϕ(x2)=ϕ(-0…

Q: i. Find the real root of the given function f(x) = e²¹ − x −6=0 by Newton-Raphson iterative method…

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Q: 3.Using simple fixed-point iteration, determine the root of the equation f(x)= sin (Vx)–. X, = 0.5…

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Q: 2. Find the root of f (x) = 2* + x³ – x = 0 by using Newton Raphson method with initial value po=…

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Q: 4. Determine the root of F(x) = 7 sin(x)e-x – 1 using secant method with 3 iterations glven Xi-1 =…

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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: Find the smallest positive root of the function x²|Cos Vx| = 5 using the False-position method. Take…

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Q: Q1. Use Newton-Raphson method to locate the first positive root of f(x) = tanx - 2tanhx = 0

A: In Newton-Raphson method  x0 is the initial solution of f(x) then further solutions are obtained…

Q: Find the value of x7 in 3 decimal places (positive value) using Newton-Raphson Method (7th…

A: To find 7th approximated root of f(x)=sinx-x using Newton-raphson iteration method.

Q: Q#2 (a): Find root of the equation 3x + sinx – e* = 0 by secant method correct to six decimal Places…

A: # we are entitled to solve 1 question at a time ,please resubmit the other question if you wish to…

Q: 2. Find the root of f(x) = 2* +x³ – x = 0 by using Newton Raphson method with initial value po= -1,5…

A: Consider the provided question, fx=2x+x3-xWith initial value p0=-1.5  and…

Q: Using Newton's method, the approximation of the root x* of f(x) = 2 – x² - cosx accurate to within…

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Q: 2. Compute for a real root of 2 cos x- sin Vx 1. 4. accurate to 4 significant figures using…

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Q: Find the derivative and show your complete solution of the following 1. cos(e ^ (2x) + e ^ (- 2x))…

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Q: Verify that the given function is a particular solution to the specified nonhomogeneous equation.…

A: Given differential equation, y''+y'=x

Q: 1. Differentiate the function. y = In(VT sin-(5æ))

A: As per our guide lines we can answer only 1 question. Kindly post the other question seperately.…

Q: 2. Compute for a real root of sin -x 0 using three iterations of Fixed- Point Iteration Method with…

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Q: Using secant method, detemine a root of sin Vx - x with initial guesses xo = 0.5 and x, = 1…

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Q: Using Newton-Raphson Method, estimate the root (6 decimal places) f(x) = x + cos(x³ + 2x) , with xo…

A: Consider the given function.

Q: 3. Use Secant Method to determine the root of f(x) = Sin (V x ) - x where x > 0. Use up to 8…

A: Given function is- f(x)=sinx-x where x>0 We need to find roots of given function using Secant…

Q: Use Newton's method to approximate a root of the equation cos (x2 + 3) = x° as follows. Let x1 = 2…

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Q: 4. Determine one real root of 8 (sin x) e-a – 1 = 0 with Xo = 0.30 using Newton-Raphson Method until…

A: Given, f(x)=8(sin x) e-x -1 We have to find one real root of given function using Newton-Raphson…

Q: Find the roots at x = 3 of function f(x) = tanh (x² – 9) with an initial guess xo = 3.2 in three…

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Q: The approximation of the root x* of the function f(x) = -x + sin x - 1 accurate to within 10-³ using…

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Q: Compute for a real root of sin x – x = 0using three iterations of Fixed-Point Iteration Method with…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (-) < 0, ƒ (x) has a root in [0, 1]. To…

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Q: Find a particular solution y, of the given equation using the Method of Undetermined Coefficients.…

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Q: 1. Determine the smallest positive root of f(x) = Sin x + Cos ( 1 + x*) - 1.. Use 5 iterations of…

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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: Find a real root for x tan x+1 = 0 using Newton Raphson method.

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

A: The solution is given below:

Q: 3. Find the root of the function x) - sin x +xe between -3 and -4. using Bisection and Newton's…

A: We have to find the root of the function fx=sinx+xex in the interval using the Bisection method. We…

Q: Show that sin(x^2) ≤ sin x for 0 ≤ x ≤ 1. Deduce that sin(x^2) dx ≤√2/2 on the invterval [0, π/4]

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Q: Use Variation of Parameters to solve the differential equation. y"y tanx y C1cos xC2sin x - In secX+…

A: Result used:

Q: .Find the smallest positive root of the function x2|Cos vx| = 5 using the False-position method.…

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Q: The approximation of the root x of the function f(x) = -x + sinx-2 accurate to within 103 using…

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Q: Find a root of f(x) = 6 Sin (x)e- x + 1 using Newton Raphson Method accurate to 5 decimal places.

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Q: Find the linear approximation of f(x)=sin(x) at x=3π4 and use it to approximate sin(134∘). Give…

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Q: 3) Solve using Newton-Raphson method to locate the root of f (x) = sin/x – x Use an initial guess of…

A: As indicated, we will use the Newton-Raphson method to locate the root with initial guess x0=1 where…

Q: 3. Calculate for one real root of tan x = 4x with xo = 1.2 up to four decimal places using the…

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Q: 2. Find the linear approximation to hly)=sin(y+1) at y=0. Use the inear approximation to approximate…

A: linear approximation.

Q: The approximation of the root x* of the function f(x) = -x + sinx-1 accurate to within 10-3 using…

A: Needs 2 iterations

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, f(x) has a root in [0, 1]. To…

A: We have here g(x)=(13)(1+cos(x)) fix point iteration formula is xn=g(xn-1) we are given x0=0

Q: Consider the function f(x) = cos x − 3x + 1. Since f (0)ƒ () <0, f(x) has a root in [0, 1]. To solve…

A: Given that                      f(x)=cos x-3x+1   equivalent equation                   x=131+cos x…

Q: Compute for a real root of sin√(x) -x = 0 using the fixed point method with x0=0.50 until absolute…

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Q: 3) Solve using Newton-Raphson method to locate the root of f (x) = sin/x – x Use an initial guess of…

A: We have to find Approximate Root of the Given equation by Newton Raphson Method.

Q: What is the value of x in the 4th iteration of Newton-Raphson method with initial guess of x=2. F(x)…

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Q: Calculate for one real root of tan r = 4x with xo = 1.2 up to four decimal places %3D using the…

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Q: Compute for a real root of 1 2 cos Vx – sin vx = accurate to 4 | 4 significant figures using…

A: 2cos(33)-sinx=14;   x0=π f(x)=2cos(33)-sinx-14 f(x)=0 ⇒2cos(33)-sinx-14=0 x=cos-11214+sinx3=ϕ(x);…