Problem C For full credit, in the problems below, your solutions should include complete sentences when explaining the verication of the assumptions on the theorems {for example, \"f is continuous on the interval ..."' j. 1. Given the function fl[3:) = 3:3 23:2 433 + 2, verify that it satises the assumptions of Rolle:s Theorem on the interval [2, 2], and nd all points (3 that satisfy the conclusion of the theorem. 2. Given the function fl[:r) = 53:2 23? + 3, verify that it satises the assumptions of Lagrange's Mean T'Lr'alue Theorem on the interval [1.2], and nd all points c that satisfy the conclusion of the theorem. 13: 3. Prove the identity arctan{a:] + arctan (1T3) = E for a: > 1 4. Is there a differentiable function f satisfying f(3) = 10, f {2] = (II and f'(:r) 3 2 for all 2:? Explain why or why not