(a) Write a program for the method (b) Apply your program to f(x) x 2 1 4x 2 2 , experimenting with respect to speed of convergence depending on the choice of x 0 (c) Apply your program to f(x) x 2 1 x 4 2 and to f(x) x 4 1 x 4 2 , x 0 (2, 1) Graph level curves and your path of descent (Try to include graphing directly in your program )

Question: (a) Write a program for the method. (b) Apply your program to f(x) = x 2 1 + 4x 2 2 , experimenting with respect

(a) Write a program for the method.

(b) Apply your program to f(x) = x²₁ + 4x²₂, experimenting with respect to speed of convergence depending on the choice of x₀.

(c) Apply your program to f(x) = x²₁ + x⁴₂ and to f(x) = x⁴₁ + x⁴₂, x₀ = (2, 1). Graph level curves and your path of descent. (Try to include graphing directly in your program.)

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