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A lattice point is a point whose coordinates are both integers. How many lattice points are on the boundary or inside the region bounded by y = |x|  and y = -x^2 + 9?

 Dec 24, 2020
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See the graph here  :  https://www.desmos.com/calculator/bjpubu0a6p

 

Boundary points  =  5  +  5    =10

 

Interior  points  = 24 

 

 

So....34  lattice points

 

Incidentally.....area of  bounded region  =   24  + 10/2  - 1   =  28

 

 

cool cool cool

 Dec 24, 2020

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