Finding Intersection Points of 3 Curves in the First Quadrant

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SUMMARY

The discussion focuses on finding the intersection points of the curves defined by the equations y = x², y = 1/x, and y = 4 within the first quadrant. Participants emphasize the importance of setting the equations equal to each other in pairs to identify the intersection points. The recommendation to plot the curves on graph paper is highlighted as a practical approach to visualize the intersections. The final goal is to determine which solutions lie in the first quadrant and to identify the curves that require integration.

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hi,
the question goes as follows:
y = x^2, y=1/x, y=4 for the first quadrant.

This may be a dumb question :blushing: but how do I figure out the points at which these three intersect? Do I first set the first two equal to each other and then set the resulting equation equal to 4? Thanks!
-heather
 
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you first find the three intersection points... taking two at a time.
take only the solutions that lie in the first quadrant.
and then see what curves u need to integrate...
i hope that helps.
p.s. - plotting the curves simultaneously on a graph paper might help.
 
You can do it by setting each two equations equal to each other, i.e. y1=y2, y1=y3 and y2=y3.

Edit: Late as usual... but I agree with anjor; plot them.
 

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