Be sure to follow the seven step paradigm when submitting this as a collected homework problem: 1. I want to and I can 2. Draw a diagram (if you can't visualize this in a diagram. see the next page) and include all the relevant information. 3. Identify what you are looking for. 4. Brainstorm: how is what you know connected to what you are looking for? (See next page for hints.) 5. Write the relevant equations. 6. Solve the equations be sure to include units with all values. 7. Is your answer reasonable? S-41) a) Show that y(X,t) = A sin(kX-03t) is a solution to the one dimensonal wave equation, i.e., show that this solution works when substituted into the wave equation. b) Show that this wave moves in the +X direction with a speed of 00/ k = f*?L. [HINT: a constant phase angle, such as 900 the crest, is What moves in the wave]