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Advanced Math Archive: Questions from March 23, 2022

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  11 Show that X - ) – - - dy dx = yxc 2x – 1 - (x - 1)2 х х dy b y = (x + 1) sin x + 1 Eyv2x + 1 + (x + 1) dx a y = (x – 1) cos1 (* = 1) = x(x − 1)(2x – 1 1) (71)=2x dx dy ► dy pd y = e c
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  3. Evaluate To love , , Va-:22 In(a? + x2 + y2)dyda. a
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• A given cost function has the following graph: soon 6000 cost 4000 2000 fifty 100 articles I50 2005 a) E. associated marginal cost is (A) increasing, then decreasing. (B) decreasing, then increasing.
  4. Una determinada función de costo tiene el siguiente gráfico: 8000 6000 Costo 4000 2000 0 50 100 150 200 articulos a) El costo marginal asociado es (A) aumentando, luego disminuyendo (B) disminuye
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  (4) Solve the exact equation [y cos x + cos y + 1/x dx + (sin x - x sin y + 2 y Jdy = 0.
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  (4) Solve the exact equation [y cos x + cos y + 1/x ]dx + (sin x - x sin y + 2 y dy = 0.
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• Solve the initial value problem... y'' - 4y' - 5y = 0 y'(0) = -2
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  Fill in the blanks: 1. If tan x = 3 then tan(-x) = 2. If sin x = 0.6 then sin(-x) = 3. If cos x = 0.6 then cos(-x)= 4. If tan x = 4 then tan(7 + x)= = T
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  Problem 10. Let f(x, y) = emy. Compute 22022f (, y). Әx2020 ду?
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  Prove the following relations for trigonometric orthogonal functions 0 si min 1. si sin(mwot) sin(nwot)dt = si m=n 2. s sin(mwot) cos(nwot)dt = 0 para todo valor de m y n 3. S.sin(mwot)dt = 0 para tod
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  03. Let W = 2 {(x, y, x + y) | 2, YER R} Is W T-invariant, if T–– T(x, y, z)=(y-z, 2+2, 2x+2 y, z) b. T(x, y, z) = (3x+z, 2y – z, 3z) a. — 2 = 9 >
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• THIS IS SPANISH
  Complete the following paragraph in the imperfect tense. Watch out for irregular verbs and don't forget accents! ANSWERS BOXES GO ACROSS FROM LEFT TO RIGHT Cuando yo (1) (ser) joven, mi familia y yo (
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• THIS IS SPANISH
  Conjugate the following verbs in the preterite or imperfect tense, reading the surrounding context to determine which is required. Watch out for irregular verbs! Don't forget to include accent marks w
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• Una línea de campo con una densidad de carga lineal de 20 nC/m pasa por los siguientes puntos (1,1,-1) y (-1,-1.1), otra carga superficial de 12 nC se ubica en el plano Z=0 y finalmente se encuentra
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  Conjugate the following verbs in the preterite or imperfect tense, reading the surrounding context to determine which is required. Watch out for irregular verbs! Don't forget to include accent marks w
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• Producción máxima. Se ha estimado que la producción total de petróleo de un cierto pozo está dada por: 𝑇 𝑡 = −1000 𝑡 + 10 𝑒 −0.1𝑡 + 10000 miles de barriles t años después de
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  Solve the IVP: y' + y' = te 2 y(0) = 0, y'(0) = 1 y'0 =
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  d do 0 cost dt = 30 = A. sin(32) B. -3 sin(3x) C. cos(3x) D. 3 sin (3.c) E. 3 cos(3x) F. –3 cos (3.c) So* sin(2x)esin’t dc = A. 0 [esiu ? = 10 B. (-2 cos(2.n )estnº a] c. [-2 cos(2a) esin? s].
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• Solve the PVI and the Edos, using the parameter resolution method: y" + y = tan(t) y(0) = y'(0) = 0 y" - 2y = ln(t)
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  a. Cual de los siguientes compuestos son idénticos o son un par de enantiomeros? н CH3CH2 -CH2OH H CH2OH -CH2CH3 CH3 CH b. Coloca los grupos restantes en la estructura para obtener ( R )-2-butanol.
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• Una institución de beneficencia está planeando una campaña de recaudación de fondos en una ciudad con una población de dos millones de personas. El porcentaje de la población que se estima que h
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  - [4pts.] Exprese 2 log((x - 1)) + log(x + 2) - 3log (x - 3) como el logaritmo de una sola expresión.
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• #6 please
  = = = = = - In Exercises 1-20 solve the initial value problem. Where indicated by C/G , graph the solution. 1. y" + 3y' + 2y = 6e2+ + 28(t – 1), y(0) = 2, y'(0) = -6 – 2. C/ Gy" + y' – 2y = -10e
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• x = [4,0, -2, 45]; y = find(x) y = 4 -2 45 y = 1 4 2 -2 4 45 y = 4 0 -2 45 y = 1 3 4
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• #15 please
  In Exercises 1-20 solve the initial value problem. Where indicated by C/G , graph the solution. > = = = =- = - = > = = = - = 2 = = 1. y" + 3y' + 2y = 6e2+ + 28(t – 1), y(0) = 2, y'(0) = -6 2. C/G y'
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• Solve for the following DE
  b) y"+3y'-10y = 29 sin (2x) x - c) 6y"- y'- y = 50e2 + 4x2 – 5 d) y"+9y = 18 cos(3x)+26e*2*; y(0)=-1, y'(0) = 2 .-3x e) y"+6y+18y = 18e *x +45 sin (3x) ' ) 4x f) 9y"+6y'+8y=176e** +37 sin(x)
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