Name: _______________________________

HappyCal Big Quiz, 11/2/2012

1.(a) State FTC1, and prove that FTC1 FTC2.

   (b) On the reverse side, state FTC2, and prove that FTC2 FTC1.

2. Given:

Prove: There exists a function g, defined on all of [3, 4], such that for all

Provide a short reason for each step in your proof. For full credit, your proof must end with “Q.E.D.” or the Halmos sign. Continue on reverse side if necessary.

3.(a) Find

   (b) Find the exact value of Show work.