Find the approximate root in 5th iterations of the function f (x) = e2 + e-1, (-0.5, 1 %3D using Regula-Falsi Method -0.48366881 • -0.48853797 -0.48148767 -0.48203519

Q: Use secant method to determine a root of f(x) = x 4 - x – 10 with initial guesses of x-1 = 1 and xo…

A: Secant Method:- Let a function f(x) then the roots of function f(x) is  xn+1=xn-fxnxn-xn-1fxn-fxn-1;…

Q: Use Regula-Falsi Method to approximate one real root of f (x) = -0.6x² +2.4x + 5.5 on the interval…

A: For a function f(x) if roots lie between x0 and x1 then next iteration  x2=x0- f(x0)x1-x0f(x1)-f(x0)

Q: Find a root of an equation f(x) = 4.15x³ - 2x + 5.15 using incremental search method at a step-size…

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Q: Example 5 - f(x) = x³ − 10.55x² + 34.28x − 32.85, ε = 0.0001

A: The given function is fx=x3-10.55x2+34.28x-32.85 We have to find the root of the equation using…

Q: ****** x² x3 x4 +: 6 P4(x) = 1+ x + x +¬+ 2 24

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Q: How to get (t) when: h= -0.00439t^4+0.04293t^3-0.17316t^2-0.2711t+59471 And h=0

A: Putting h=0 in the given equation. -0.00439t4+0.04293t3-0.17316t2-0.2711t+59471=0 Let…

Q: QI/Use the Biseetion Method to approximate one of the roots of f(x) 3x 2x+ 6x-8 with interval (1, 2)…

A: We can solve this using bisection method

Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…

A: We will use contradiction to prove it.

Q: Find value a  such that f(x)={x^2+2x-1 if x not equal to 1…

A: given,f(x)=x2+2x-1  if  x≠1a                if x=1left hand limit at x=1limx→1- f(x)=limx→1-…

Q: Estimate the root of f (a) =-13 20z +19x?-3x using the Bisection Method on the interval (-1,0). Do…

A: Given f(x) = -13-20x+19x2-3x3

Q: find all critical points of the function f x = x^−1 − x^−2

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Q: PROVE THAT  x0.23 = 0.444078 SOLVE [(0.4-0.2)/(0.23-0.2)]=[(0.422845-0.447825)/(x0.23-0.447825)]

A: To prove that, x0.23=0.444078 by solving the following…

Q: – (In x)" = 0 –1

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Q: 21 (a) ²x¹ d(x³). Note a(x) = x³. 3 (b) (²x² d(ex). Note a(x) = ex 2

A: Given :∫1213x4dx3∫24x2dex

Q: Find the approximate root in 5th iterations of the function f (2) = x3 - 2a - 5, xo 2.5 by x = 2x +5…

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Q: For the function f(x) = 7x', find f-1(x). %3D or () = E Of (2) = V %3D Subre Of (2) = 7V#

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Q: Find the value of J_{-1/2} with the help of J_ {1/2} Explain each step otherwise i will give…

A: We have Jnx  Jnx = ∑ r=0∞-1rr!n+r+1x2n+2r  Jnx = x2n  ∑ r=0∞-1rr!n+r+1x22r Put n = -12 and expanding…

Q: SOLVE BY SECANT METHOD Determine the root of f(x) = x³- 6x² + 11x 6.1 with initial values xo perform…

A: Given We need to find the root of the above function using secant method with initial conditions

Q: Use Bisection Method to locate the root of f(x) = 7sin(x)e"(-x) -1 on a closed interval [0,1]. Use…

A: Bisection method:  Initial guesses 'an' and 'bn' are such that f(an)*f(bn) < 0.  This ensures…

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: Find the multiple root of f(x) = x'-9x +24x- 20 ith an initial guess of x1 = 0.5 using…

A: According to the given information, it is required to find the multiple roots of the given function…

Q: If 82 + 5 f(x) + x²(f(x))³ = 0 and f(3) = -2, find f' (3). %3D f'(3) =

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Q: Using Fixed Point Iteration Method manually, Given: f(x) = x^3 + 3x^2 - 1 and its new function as…

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Q: Use simple fixed-point iteration to locate the root of f(x) = sinvx – x Use an initial guess of x, =…

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Q: 1) Using g(x) = 3x - 1, f(x) = 2x + 6 and find (g o f)(x) 2) Find the inverse function of h(x) = 2x…

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Q: The function defined by ?(?)=3x^2−5x−2 changes sign in the interval [1, 3]. Use seven iterations of…

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Q: Find the Critical number of the function f(x) = -2x^2 + 16x + 7. x = ?

A: