Suppose Euler's method is used on the interval 0 ≤ x ≤ 4 to estimate the solution to the IVP: y' = f(x, y) and y(0) = 1. It is calculated that of ≤ 3 and that y"| ≤ 2. (a) If h = 0.5, find the maximum error in Euler's method on the interval [0, 4]. (b) How small must h be to guarantee an error of less than or equal to 10-3 on the interval [0, 4] ?

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