The Cam Bridge is a toll bridge that gets a lot of traffic during the two-hour rush hour period starting at 6:00 AM. The total number of vehicles that go through the northbound tollbooth is a continuous function V of time t. A table of selected values of V is given for the time interval 0 SIS4 where t = 0 corresponds to 6 AM. 3.5 t (hours) Vit) (vehicles) .75 2.2 1200 1440 1886 unknown The southbound tollbooth also monitors vehicles that pass through it by estimating the rate of vehicles that come through. This rate is given by the continuous function R of t. A table of selected values of R is given for the time interval 0stS4 where t 0 corresponds to 6 AM. t (hours) R(t) (vehicles per hour) .35 1.8 3.75 275 200 250 250 280 a. Approximate V'(1.5). Show the computation that leads to your answer. Explain the meaning of answer in context to the problem situation using correct units of measure. your b. Approximate R'(. 25). Show the computation that leads to your answer. Explain the meaning of your answer in context to the problem situation using correct units of measure. c. The number of vehicles that have passed through the northbound tollbooth by 10 AM is unknown. The average rate of change of the vehicles passing through this booth is the same between 9:30 AM and 10 AM a it is between 6 AM and 6:45 AM. Approximate the total number of vehicles having passed through the northbound tollbooth by 10:00 AM. Show the computations that lead to your answer.