+0  
 
+1
168
2
avatar+809 

 

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 \(y=-x^2+\frac{35}{4}\)?

 Aug 29, 2018
 #1
avatar+98125 
+2

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

 

 

cool cool cool

 Aug 29, 2018
 #2
avatar+809 
+2

Thank you! Correct!

mathtoo  Aug 29, 2018

9 Online Users

avatar
avatar
avatar
avatar
avatar