Consider the Greens function G(x, t; x0, t0) for the wave equation. From (11.2.24) we easily obtain the influence functions for Q(x0, t0), u(x0, 0), and u/t0(x0, 0). These results may be obtained in the following alternative way: (a) For t>t0+ show that 2G t2 = c 22G, (11.2.43) where (by integrating from t0 to t0+) G(x, t0+; x0, t0) = 0 (11.2.44) G t (x, t0+; x0, t0) = (x x0). (11.2.45) From (11.2.32), briefly explain why G(x, t; x0, 0) is the influence function for u t0 (x0, 0). (b) Let = G/t. Show that for t>t0+, 2 t2 = c 22 (11.2.46) (x, t0+; x0, t0) = (x x0) (11.2.47) t (x, t0+; x0, t0)=0. (11.2.48) From (11.2.46)(11.2.48), briefly explain why G t0 (x, t; x0, 0) is the influence function for u(x0, 0).

Koshar Amy Brogan March 28,30 & April 1, 2016 Apportionment Part 3 Review: Spread 10 calculators among 4 classes by population using the following methods. Class A: 87 Class B: 45 Class C: 96 Class D: 62 Hamilton Method Class A Class B Class...