part C. Perform the following steps to verify by substitution that equations C and D are solutions to Equations A and B, respectively.a²E= Eoloat?E = Emax cos(kx – wt)Equation AEquation Ca?B= Eoloat?B = Bmax cos(kx – wt)ax?Equation BEquation D(a) Calculate the first partial derivatives listed below. (Use the following as necessary: k, w, x, t, and either Emax or Bmax:)-kEтахLsin (kx – ot)]axдв-kBтах —sin (kx – ot)]axsin ( kx – ot)]atтахLдв@Bтах Lsin ( kx – ot)at(b) Calculate the second partial derivatives listed below. (Use the following as necessary: k, w, x, t, and either E or Bmax:)max-KEтахcos (kx- ot)ax?a²B-k*B„cos(kx – ot)əx?тах-o²Eat?cos(kx – wt)тахa²B-o?B.at?cos(kx – ot)тах(c) Given k2 / w? = (1 / f 1)2, calculate the ratios of the second partial derivatives below. (Use the following as necessary: c.)ax2at2a2Ba2Bat2(d) Express ɛolo: (Use the following as necessary: c.)Eolo =II

Answered: Image /qna-images/answer/370815c6-a8a5-442b-9747-04993b38ff8c.jpg

Perform the following steps to verify by substitution that equations C and D are solutions to Equations A and B, respectively. E = Emax cos(kx – wt) Equation A Equation C a2B a2B B = Bmax cos(kx – wt) Equation B Equation D (a) Calculate the first partial derivatives listed below. (Use the following as necessary: k, w, x, t, and either Emax or Bmax:) JE -kE тахL [sin (kx – ot)] ax aB -kB max Sin ( kx – wt)] ax ME sin ( kx – ot тах or)] at дв = wB at max[sin (kx – ot)] (b) Calculate the second partial derivatives listed below. (Use the following as necessary: k, w, x, t, and either Emax or Bmax:) a²E cos(kx- ot) əx2 тах cos (kx – ot) тах a?E - -o²E.cos(kx – ot) at? тах a2B .cos(kx – ot) тах (c) Given k2 / w² = (1 / f 1)², calculate the ratios of the second partial derivatives below. (Use the following as necessary: c.) ax2 1 2 a2B a2B (d) Express &oo: (Use the following as necessary: c.) 1

Perform the following steps to verify by substitution that equations C and D are solutions to Equations A and B, respectively. E = Emax cos(kx – wt) Equation A Equation C a2B a2B B = Bmax cos(kx – wt) Equation B Equation D (a) Calculate the first partial derivatives listed below. (Use the following as necessary: k, w, x, t, and either Emax or Bmax:) JE -kE тахL [sin (kx – ot)] ax aB -kB max Sin ( kx – wt)] ax ME sin ( kx – ot тах or)] at дв = wB at max[sin (kx – ot)] (b) Calculate the second partial derivatives listed below. (Use the following as necessary: k, w, x, t, and either Emax or Bmax:) a²E cos(kx- ot) əx2 тах cos (kx – ot) тах a?E - -o²E.cos(kx – ot) at? тах a2B .cos(kx – ot) тах (c) Given k2 / w² = (1 / f 1)², calculate the ratios of the second partial derivatives below. (Use the following as necessary: c.) ax2 1 2 a2B a2B (d) Express &oo: (Use the following as necessary: c.) 1

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter1: Units And Measurement

Section: Chapter Questions

Problem 83AP: A marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of...

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