Prove the following using the Mean Value Theorem: (a) For any real numbers x and y with x > y, we have: sin(x) — sin(y) ≤ x − y (Hint: try dividing both sides by (x − y).) (b) Let n be an even positive integer. The equation x + ax+b=0 has at most two real roots. (Hint: show that between any two roots

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