1. Determine if Rolle's Theorem applies to the following function on the given interval. If 50, find the point(s) that are guaranteed to exist by Rolle's Theorem. f(x) = x(x 1)2 on [0,1] 2. Determine if Mean Value Theorem applies to the following function on the given interval. If 50, find the pointls) that are guaranteed to exist. f(x) = 7 x2 on [1.2] 3. Use L'Hopital's Rule to find the following Limit . x4x32x+2 11m x41 x1 4. Use L'Hopital's Rule to find the following Limit , x2 4x + 4 11m . x>2 sm2 (31x)