MATH 257 Midterm: MATH 257+316 2006 Winter Test 2
Document Summary
Be sure that this examination has 9 pages. Write your name on top of each page. A standard size (both sides) sheet of notes is allowed in this examination. Calculators are not allowed in this examination. Answers must be justi ed to receive full credit. In case of an exam disruption such as a re alarm, leave the exam papers in the room and exit quickly and quietly to a pre-designated location. Rules governing examinations: each candidate must be prepared to produce, upon request, a. [15] 1. a) find the fourier sine series of the function g(x) = (cid:26) x. 0 if 0 x < 1 if 1 x 2: sketch the graph of the function to which the series converges over at least two periods. On your graph, specify the points x where gibbs phenomenon occurs. Consider an elastic string of length l whose ends are held xed, and with a given a2.
