Advanced Math Archive: Questions from March 17, 2022
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#17 please
= no - = 17. y" + 4y = 8 sin 2t 18. 19. 4y" + 1ly' – 3y = –2te-34 20. y" + 4y = 16t sin 2t 21. x"(t) – 4x' (t) + 4x(t) = te21 - =1 answer -
2. Para cada una de las matrices siguientes, encuentre la inversa (si existe). 1 -2 a) 2 5 3 4 ] b) 3 1 4 2 c) -3 1 1 d) -3 6 e) 3 -6 -2 4 f) 2 0 ] -2 o 0 -3 2 g) 1 0 2 0 3 -1 2 1 0 h) 2 1 0 1 0 3 0 21 answer -
3. Resuelva los siguientes sistemas de ecuaciones determinando la inversa de la matriz de coeficientes: = a) 2x – 3y = 1 3x + 4y = 10 b) За + 3b = 1 2a – b=3 c) { 4u + 5v = 14 2u – 3v = 1 = {1 answer -
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Check the following: sinh(x + y) = sinh.rcoshy+ cosh sinh y sinh(x - y) = sinhrcosh y= coshx sinhy cosh(x + y) = coshxcosh y - sinhxsinh y cosh(r - y) = coshxcosh y + sinh xsinh y | - -1 answer -
solve for the IVP only #62 and #66 please
= 2x 62. y" – y' = 2x – 5, y(0) = 1,4'(0) = 0. 63. y" + 2y' = 4x +3e", y(0) = 0,y'(0) = 0. 64. y" – y' = 2 + 2e2*, y(0) = 0,y'(0) = 1. 65. y" – 4y' + 3x = 2e), y(0) = 1, y'(0) = 0. 66. y" - y1 answer -
Solve for r: (a) 3sin 2x - 2 sin x = 0 (c) 3sin.rcos x = 1 (e) 12 sin? x = sin 2x + 4 cos x (g) cos 2.r+sin?x-sin 2x = 0) (1) cos2x+ 2 sin 2x + 2 = 0 (k) 3cos 2.x +9=13cos.x (m) sin 2.x = tan x (o) si1 answer -
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do #34 only
= In Problems 31–36, determine the form of a particular solu- tion for the differential equation. Do not solve. 31. y" + y = sin t + t cost + 10' 32. y” – y = 221 + te21 + f2e21 33. x" — x'1 answer -
4. Considera la matriz: A A = (3) a) (10 puntos) Determina todos sus valores propios. b) (10 puntos) Calcula la matriz P tal que: P-1AP sea diagonal. c) (5 puntos) Calcula la matriz inversa de P, haz0 answers -
7. 3 cos2 x sin x cos4 x dx = 4. COS X sinr 1 + - 2 22 *1) + + c 4 8. 1 dr = arcsin(x – 1) +c 2.c 9. 1 dx = - arcsec(x – 3) + c (x – 3) Vx2 - 6x + 8 10. 5х – 3 dx = 2 In \x +1| + 3 ln |2x –1 answer -
number # 27 , and # 31
25. sin 4x = 4 sin x cos x cos 2x 26. 1 + cos 2x sin 2x cotx 27. 2 cos 2e = cote- tane sin 20 1 28. cot 40 tan? 20 2 tan 20 29. tan x + cotx = 2 csc 2x 30. cos 2x 1 - tan” x 1 + tan” x 31. 1 + tan1 answer -
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number # 1, 7, 13,23,27 thank you
These summary exercises provide practice with the variowy rypes of trigonometrie identin ties presented in this chapter. Verify that each equation is an identity. 1. tan 8+cot = sec @esco 2. escocos?1 answer -
Find the dimension of proper space of each value of the matrix
5. Hallar la dimensión del espacio propio de cada valor característico de la siguiente matriz. 12 10 A020 0 0 21 answer -
If A is an nxn triangular matrix, then its values characteristic are its elemnts on the main diagonal. Check the result above for the following array
6. Teorema: Si A es una matriz triangular nxn, entonces sus valores característicos son sus elementos en la diagonal principal. Verifica el resultado anterior para la siguiente matriz: 2 0 0 A= -1 11 answer