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 \(y=-x^2+\frac{35}{4}\)?
If I didn't mis-count :
5 lattice points on the boundary
8 interior points on the y axis
And using symmetry, we have 2(8) = 16 more interior points
So...the total is 5 + 8 + 16 = 29 lattice points
See the graph here: https://www.desmos.com/calculator/fsvb23vcgb
Thank you! Correct!
+816 
