Question: 4. The bisection method is a neat way to find (approximate) roots to continuous functions it has advantages to Newton's method because it only requires

4. The bisection method is a neat way to find (approximate) roots to continuous functions it has advantages to Newton's method because it only requires the function to be continu- ous instead of differentiable. Fix e to be a really small number (sometimes called machine epsilon) by making it a constant e :: Double exp (-150) e We will regard any x with |x| Double) -> (Double, Double) ->Maybe Double which given a function f and a pair of initial values (a,b), returns, when f(a) and f(b) are of opposite sign or one is effectively zero, the value (up to e!) of a zero crossing for the function f. 4. The bisection method is a neat way to find (approximate) roots to continuous functions it has advantages to Newton's method because it only requires the function to be continu- ous instead of differentiable. Fix e to be a really small number (sometimes called machine epsilon) by making it a constant e :: Double exp (-150) e We will regard any x with |x| Double) -> (Double, Double) ->Maybe Double which given a function f and a pair of initial values (a,b), returns, when f(a) and f(b) are of opposite sign or one is effectively zero, the value (up to e!) of a zero crossing for the function f
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