1. Let 𝑓(𝑥)= 𝑥2. Determine whether or not 𝑓 satisfies the hypothesis of the Mean Value Theorem on the interval [1,2]. If it does, find a number 𝑐 ∈ [1,2] which satisfies the conclusion of the theorem.
2. Let 𝑓 be a polynomial function, and let 𝑎 and 𝑏 be two consecutive roots of the equation...