Question
A and B only
The Newton Bridge is a toll bridge that gets a lot of traffic during the two hour rush hour period starting at 4:00 PM. The total number of vehicles that go through the northbound is a differentiable function V of time t. A table of selected values of Vis given for the time interval 0 le t le 2 where t = 0 corresponds to 4 PM. 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 differentiable function R of t. A table of selected values of R is given for the time interval 0 le t le 2 where t = 0 corresponds to 4 PM. Approximate V'(0.75). 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. Approximate R'(1.75). 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. The number of vehicles that have passed through the northbound tollbooth by 6 PM is unknown It is known that the average rate of change of vehicles passing through this booth between 4 PM and 6 PM is the same as the average rate of change of vehicles passing through this booth between 5 PM and 6 PM. Approximate the total vehicles having passed through the northbound tollbooth by 6:00 PM Show the computation that leads to your answer.
Explanation / Answer
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