1. A commuter is driving along a highway on which the speed limit is 60 miles per hour when he unknowingly runs into a speed trap involving two police officers. The first officer is positioned at mile marker 92 and clocks the commuter's car at 55 miles per hour. Five minutes later, a second police officer at mile marker 98 clocks the car at 60 miles per hour. Can the commuter be charged with a speeding violation?
2. A commuter is driving along a highway on which the speed limit is 45 miles per hour when he unknowingly runs into a speed trap involving two police officers. The first officer is positioned at mile marker 145 and clocks the commuter's car at 45 miles per hour. Five minutes later, a second police officer at mile marker 149 clocks the car at 40 miles per hour. Can the commuter be charged with a speeding violation?
3. Find the c value(s) that satisfy the Mean Value Theorem for the function f (x) = x^2 + 5x on the interval [3, 2].
4. 4. Find the c value(s) that satisfy the Mean Value Theorem for the function f (x) =