AP Calculus AB
posted by Destinyyy .
A traffic engineer monitors the rate at which cars enter a freeway onramp during rush hour. From her data, she estimates that between 4:30 pm and 5:30 pm, the rate R(t) at which cars enter is given by:
R(t)=100(10.00012t^2)
cars per minute, where t is time in minutes since 4:30 pm.
A) find the average rate in cars per minute, at which cars enter the highway during the first half hour.
B) find the average rate, in cars per minute, at which cars enter the highway during the second half hour.
C) find the total number of cars that enter the highway during that hour.
D) cars also exit the freeway at a rate of:
E(t)=50(1e^t)
find the total number of cars on the highway for the first 30 minutes. Assume no cars initially.

AP Calculus AB 
Anonymous
.
Respond to this Question
Similar Questions

algebra
During rush hour, Bill can drive 60 miles using the side roads in the same time that it takes to travel 30 miles on the freeway. If Bill's rate on the side roads is 7 mi/h faster than his rate on the freeway, find his rate on the side … 
math
During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. If Fernando's rate on the side roads is 9 mi/h faster than his rate on the freeway, find his rate … 
math/3rd grade
For every 100 cars that enter the entersection from A, 30 cars head towards B, 40 cars head toward C, and 30 cars head towards D. If 60 cars enter the entersection from A, how many head toward B? 
Math
Which of the following statements describe an exponential relationship? 
Ap calc
A traffic engineer monitors the rate at which cars enter a freeway onramp during rush hour. From her data, she estimates that between 4:30pm and 5:30pm the rate R(t) at which cars enter is given by: R(t)= 100(10.00012t^2) car per … 
math
A traffic engineer plans to estimate the average number of cars that pass through an intersection each day. Based on previous studies the standard deviation is believed to be 52 cars. She wants to estimate the mean to within ± 10 … 
math
17. Burger King's DriveThrough: Suppose that cars arrive at Burger King's drivethrough at the rate of 20 cars every hour between 12:00 noon and 1:00 PM. A random sample of 40 onehour time periods between 12:00 noon and 1:00 P.M. … 
statistics
A service station has a pump that distributes diesel fuel to automobiles. The station owner estimates that only about 3.2 cars use the diesel pump every 2 hours. Assume the arrivals of diesel pump users are Poisson distributed. a. … 
Calculus
Two cars start moving from the same point. One travels south at 60 mph and the other travels west at 25 mph. At what rate is the distance between the cars increasing 2 hours later? 
6th grade math
If Jack takes 6 hours to wash 4 cars then at that rate how man cars could be washed in 42 hours?