Question: Let's use Newton's method to find the value of (squareroot)2. (This is a zero of the equation f(x)=x 2 -2 or a solution to x

Let's use Newton's method to find the value of (squareroot)2. (This is a zero of the equation f(x)=x²-2 or a solution to x²-2=0).

a) Start with an initial guess of x₀=3 and use Newton's method to approximate the zero.

b) How many iterations did you take to match a (squareroot)2 to 3 decimal places?

c) Draw a graph of f(x)=x²-2 on the interval [-4,4]. Using a straight edge (piece of paper or ruler) graphically do Newton's method on your paper starting with a value of x₀=3 and x₀=-1

PLEASE SHOW STEP BY STEP SO THAT I UNDERSTAND THIS.

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