please solve

Work the following on notebook paper. Do not use your calculator on problems 1 3. On problems 1 2, determine Whether or not the conditions of Rolle's Theorem are met. If the conditions are met, nd the value of c that the theorem guarantees. l.f(x)=x2~11x+30 [5,6] 2. f(x):(x+4)2(x3) [4, 3] On problems 3 4, determine whether or not the conditions of the Mean Value Theorem are met. If the conditions are met, nd the value of c that the theorem guarantees. 3. f(x) =x3 x2 2x [1.1] 4. f(x) = 2cosx+cos (2x) [0, 7:] (Use your calculator.) You may use your calculator on problems 5 6, but be sure you show supporting work. 5. A trucker handed in a ticket at a toll booth showing that in 2 hours, the truck had covered 159 miles on a toll road on which the speed limit was 65 mph. The trucker was cited for speeding. Why? 6. A marathoner ran the 26.2 mile New York marathon in 2 hours, 12 minutes. Show that at least twice, the marathoner was running at exactly 11 mph