Question: Use the mean value theorem to prove that: (a) On the parabola f(x) = Ax^2 + Bx + C, the chord joining the points for

Use the mean value theorem to prove that:

(a) On the parabola f(x) = Ax^2 + Bx + C, the chord joining the points for which x = a and x = b is parallel to the tangent at the point for which x =( a+b)/2

b) |sinx siny| |x y|, for all x, y R.

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