Find all fixed points of the following g(x). 8 + 2x x+6 3x - 2 (c)...

  

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Find all fixed points of the following g(x). 8 + 2x x+6 3x - 2 (c) x5 2+x² (a) (b) Use Theorem 1.6 to determine whether Fixed-Point Iteration of g(x) is locally convergent to the given fixed point r. (a) g(x) = (2x - 1)/x², r = 1 (b) g(x) = cosx + 7 + 1, r= π (c) g(x)=²x-1, r=0 Which of the following three Fixed-Point Iterations converge to the cube root of 4? Rank the ones that converge from fastest to slowest. 2 (A) g(x)= 3x (B) g(x)= + √x 4 x2 2 =-²/x x+ (C) g(x)= 4 3x² Find all fixed points of the following g(x). 8 + 2x x+6 3x - 2 (c) x5 2+x² (a) (b) Use Theorem 1.6 to determine whether Fixed-Point Iteration of g(x) is locally convergent to the given fixed point r. (a) g(x) = (2x - 1)/x², r = 1 (b) g(x) = cosx + 7 + 1, r= π (c) g(x)=²x-1, r=0 Which of the following three Fixed-Point Iterations converge to the cube root of 4? Rank the ones that converge from fastest to slowest. 2 (A) g(x)= 3x (B) g(x)= + √x 4 x2 2 =-²/x x+ (C) g(x)= 4 3x²