Suppose a table of values of f(x) = sin(x), 0 ≤ x ≤ 1.58, is to be constructed with the values of sin(x) given with a spacing of h. (a) If linear interpolation is used in this table, how small should h be in order for the interpolation error to be less than 10^-6? (b)If quadratic interpolation is used in this table, how small should h be in order for the interpolation error to be less than 10^-6?

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