1) a) Find a plane model for the connected sum of two tori: T#T = 2 T. b) Draw an arbitrary closed curve on the torus that does not bound a disk on the torus. Depict this curve on the plane model of the torus.
c) Draw a correspondent closed curve on 2 T. Depict this curve on the plane model of 2 T.
2) Does the surface n T have the fixed point property?

3.2x10^7

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

i really dont know but i will try okay.

so i think u would just add all them up and get your answer..