This preview shows page 1. Sign up to view the full content.
Unformatted text preview: f ( x ) = X a n cos nx + b n sin nx . a . (5) Find the value of a n for each n . (Hint: Use the scalar product. What is the integral of an odd function on the given interval?) b . (5) Find the value of b n for each n . (Hint: Use the scalar product.) c . (10 bonus points!) Use the results of (a) and (b) together with the Plancherel Identity to nd the numerical value of X 1 1 n 2 . (The bonus points will be based on the correctness of your calculation not on looking up the answer.) 1...
View Full Document
- Summer '08