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Yes it's exactly due to symmetry. Specifically, symmetry about the x axis.
Simply writing , without the 2 out front, will only get you the area of the portion shown in red (see diagram below).
The blue region has equal area of the red region due to symmetry.
So,
represents the red and blue regions combined.
The portion in green is which is the integral of the difference of the upper and lower curves over the interval
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In all honesty, it's probably easier to integrate with respect to y since the given functions are in terms of y initially. Also, there isn't a junction point in which the curves swap places in terms of which one is larger. However, it doesn't hurt to have practice in integrating with respect to x.
If you're curious about what the y integral looks like, then it would be
You can use a tool like WolframAlpha to check that both integral expressions result in 36 to help confirm that they represent the same overall area (just in different ways of course).
It is given that in 2013, McDonald's had 14267 locations in the US. It is also given that the population of the US was approximately 316.5 million citizens in 2013. Now, we know that 316.5 million=316500000.
Therefore, in order to find the number of McDonald's restaurants per capita in the US in 2013 all that we have to do is divide the number of McDonald's restaurants in 2013 with the population of the same year.
Thus, we get, number of McDonald's restaurants per capita in the US in 2013 to be:
(the answer has been expressed in scientific notation rounded correctly to three decimal) places.