2. The density of cars (in cars per mile) down a 20 mile stretch of the Pennsylvania Turnpike is approximated by 8(x) = 300(2 + sin(4vx + 0.15)) where x is the distance from the end of the turnpike. How many cars are in the 20 mile stretch?

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2. The density of cars (in cars per mile) down a 20 mile stretch of the Pennsylvania Turnpike is approximated by \( \delta(x) = 300 \left( 2 + \sin(4\sqrt{x} + 0.15) \right) \) where \( x \) is the distance from the end of the turnpike. How many cars are in the 20 mile stretch?

To find the total number of cars along this 20 mile stretch, you would integrate the function \( \delta(x) \) from 0 to 20. This will give you the total number of cars over the specified distance.
Transcribed Image Text:2. The density of cars (in cars per mile) down a 20 mile stretch of the Pennsylvania Turnpike is approximated by \( \delta(x) = 300 \left( 2 + \sin(4\sqrt{x} + 0.15) \right) \) where \( x \) is the distance from the end of the turnpike. How many cars are in the 20 mile stretch? To find the total number of cars along this 20 mile stretch, you would integrate the function \( \delta(x) \) from 0 to 20. This will give you the total number of cars over the specified distance.
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