10:06 34 Expert Q&A ve Equi x A Watch One Piece Dub Episode ? su Class Search / Course Catalog SU 42058 invas.asu.edu/courses/114873/assignments/3013059 flat.. Lesson 2: Import a s... Citizenship and Im. A Killer Woman 9-.. GDA Dragon Estate... will be accepted. The homework questions to be submitted here are in this pdf file, &, view ZOOM + PHY 201 Online Tutorial One-Dimensional Wave Equation (ODWE) Paper Homework Remember there is also homework for the OFFS Tutorial in WebAssign due this week as well (There is no paper homework for the OFFS Tutorial). 1. (0 points) Not for credit, but for practice try ODWE Exercise 22 since the answer is included in the text. Remember that when n is an integer sinna - 0 and cosna (-1)" . If you do this problem correctly, you get sin(na /2) after evaluating the integrals. To simplify this you need to think about even values of n and odd values of n separately. 2. (10 points) As you have seen in Section 3.2 of ODWE, the general solution for the transverse displacement of a string stretched between two pegs a distance L apart is y (1, () = _ sin (k,T) [B., cos (w,,!) + Cn, sin (w.t)] , where ka - na/L and wa - ukn, v being the velocity of propagation of waves on the string. B,, and the C, are expansion coefficients that can be determined by the initial conditions (i.e., boundary conditions in time). Calculate (by hand) these coefficients for the following boundary conditions: y (x, 0) - 27 (L-I) / L, y (r, 0) - 0. Since [0, L] covers only half a wavelength (Why?), you need to use OFFS Eqs. (17)- (18). O XRe: Advising Appol Topic: Module 5: Class Course Hero Google CEO Co https://app.perusall.com/courses/phy-201-math-methods-physics-i-2022-spring-b/phy201_offs-41301507... Final grade calculat... Lesson 2: Import a s... . Citizenship and Im... A Killer Woman 9 -... GDA Dragon Estate... Index - ods Physics I (2022 Spring - B) > PHY201_OFFS Page 7 A Tutorial OFFS: Orthogonal Functions and Fourier Series Exercise 15 Sine and cosine functions actually obey certain orthogonality relationships over one- half of their periods. Using the antiderivative formulas for products of sines and cosines as given in most integral tables, prove the following useful half-period expressions: 18mn m, n # 0 , 2an 4 COS T COS ada = (17) m = n = 0. (18) 8 mn 27m m, n # 0 , 4 sin T sin ade = (19)