Area of the intersection of two regions in the plane

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SUMMARY

The discussion centers on finding the area of intersection between two regions defined by the inequalities \(y > \sqrt{2}x - \frac{1}{4x}\) and \(y < \sqrt{2}x + \frac{1}{4x}\). A participant asserts that there is no intersection between the two curves, prompting clarification on whether the inquiry pertains to the area between the curves instead. The conversation highlights the necessity of providing an initial attempt at a solution in accordance with forum guidelines.

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Mr Davis 97
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I have two regions, given by ##y>\sqrt{2}x - \frac{1}{4x}## and ##y< \sqrt{2}x + \frac{1}{4x}##. How can I find the area of their intersection? If their is no easy analytical way, could someone perhaps use a computer? I am not sure how.
 
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Mr Davis 97 said:
area of their intersection
What do you mean with that ? There is no intersection.
You mean the area between the two curves ?
If this is homework, the PF guidelines require an attempt at solution fom your part
 

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