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Find the area of the region satisfying the inequality x^2 + y^2 <= 4x + 6y+13 + 10x  +2y

 May 8, 2022
 #1
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When you move every term to the left-hand side, you get x2+y214x8y130.

Complete the squares and you will get (x7)2+(y4)278.

 

So this is actually just the area enclosed by the circle centered at (7, 4) and with radius 78. Can you take it from here?

 May 8, 2022

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