Find the root of For) = cosx-x=0 that lies in (0.1). Accurate to 4-decimal places using:...

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Find the root of For) = cosx-x=0 that lies in (0.1). Accurate to 4-decimal places using: F(x) = cosx-x=0 a) bisection method : f(0) = 1>0 f(1) = -0.4597 <0 , mn= an+bn/2. b) secant method: xo=0 x1=1 consider, x1=1, xk-1 = x0 =0, c) Regular false method: xo=0,x1=1, d) Newton-Raphson method :- xo=1 f(x) = cosex-x --> f0 = -0.497 f'(x)=-sinx-1 --> f'0 = -1. e) fixed-point iteration: xo=0.5 f(x)= cosx-x = 0 Find the root of For) = cosx-x=0 that lies in (0.1). Accurate to 4-decimal places using: F(x) = cosx-x=0 a) bisection method : f(0) = 1>0 f(1) = -0.4597 <0 , mn= an+bn/2. b) secant method: xo=0 x1=1 consider, x1=1, xk-1 = x0 =0, c) Regular false method: xo=0,x1=1, d) Newton-Raphson method :- xo=1 f(x) = cosex-x --> f0 = -0.497 f'(x)=-sinx-1 --> f'0 = -1. e) fixed-point iteration: xo=0.5 f(x)= cosx-x = 0

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