1. If you have a surface x(u,v) and you hold u constant, then x(constant,v) will be a
   1. surface and I have a good reason why
   2. surface but I am unsure of why
   3. curve but I am unsure of why
   4. curve and I have a good reason why
   5. no way to tell without more info about x(u,v)
   
   
   
   
   
2. On a round torus, sitting on a table, the following are geodesics:
   
   1. all vertical circles on the donut
   2. all horizonal circles on the donut
   3. both of the above
   4. none of the above
   
   
   
3. On a FLAT torus in R⁴ the following are geodesics:
   
   1. the curves corresponding to vertical lines from the covering
   2. the curves corresponding to horizontal lines from the covering
   3. both of the above
   4. none of the above