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?
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?
Related questions
Question
The answer is 11513. Please show me how to get to the answer.

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.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 7 images
