Problem: We define a lattice point as a point whose coordinates are integers, zero admitted. Then the number of lattice points on the boundary and inside the region bounded by the -axis, the line , and the parabola is:
Answer Choices:
A.
B.
C.
D.
E. not finite
Solution:
On the line the integral ordinates are ; on the line they are ; on they are on they are 0,1 ; and on the integral ordinate is .
The number of lattice points is .