Perform the following steps to verify by substitution that equations C and D are solutions to Equations A and B, respectively. a²E ax² a²E Ξερμό E = Emax cos(kx - wt) ǝt² Equation A Equation C a² B ax² = a² B B = B ερμο at² cos(kx - wt) max Equation D Equation B (a) Calculate the first partial derivatives listed below. (Use the following as necessary: k, w, x, t, and either E де дх дв дх де Ət дв at max or B max') (b) Calculate the second partial derivatives listed below. (Use the following as necessary: k, w, x, t, and either Emax or B max') a²E = 2x2 a²B ax² a²E at² a²B at² = = = (c) Given k²/w² = (1/Fλ)², calculate the ratios of the second partial derivatives below. (Use the following as necessary: c.) a²E ax2 a2E = ar2 a28 ax2 a² B at² (d) Express εolo. (Use the following as necessary: c.) Еоно
Perform the following steps to verify by substitution that equations C and D are solutions to Equations A and B, respectively. a²E ax² a²E Ξερμό E = Emax cos(kx - wt) ǝt² Equation A Equation C a² B ax² = a² B B = B ερμο at² cos(kx - wt) max Equation D Equation B (a) Calculate the first partial derivatives listed below. (Use the following as necessary: k, w, x, t, and either E де дх дв дх де Ət дв at max or B max') (b) Calculate the second partial derivatives listed below. (Use the following as necessary: k, w, x, t, and either Emax or B max') a²E = 2x2 a²B ax² a²E at² a²B at² = = = (c) Given k²/w² = (1/Fλ)², calculate the ratios of the second partial derivatives below. (Use the following as necessary: c.) a²E ax2 a2E = ar2 a28 ax2 a² B at² (d) Express εolo. (Use the following as necessary: c.) Еоно
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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