Advanced Math Archive: Questions from March 31, 2022
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(1 point) Let x, y, z be (non-zero) vectors and suppose w = 5x + 5y + 3z If z = -2- y, then w 2 2+ 2 y. Using the calculation above, mark the statements below that must be true. A. Span(w, x, y) = Spa1 answer -
(1 point) Let x, y, z be (non-zero) vectors and suppose w 6.2 + 6y + 2. If2= 2.C 2y, then w 4 + 4 y. Using the calculation above, mark the statements below that must be true. A. Span(w, x) = Span(x, y1 answer -
Q1: Solve 1) y' =+ eš y y + ex X dy 8) + xy = 3x, dx x = 1, y = 2 dy y ) dx X у = X 13) + sin ) dy dy 14) y2 + x2 dx = XY dx3 answers -
Use the chain rule to find dz while 2 = sin x cos y, X = dt , = Vty= 1 =1 / = 1 COS Xcosy sin x siny 2/7 1 O cos ecosy + sin x siny vt +2 cos ecosy + sin x siny 2 ſt t2 1 2 ſt cos asiny + sin x cos1 answer -
[SADT4] If T = x3 – ry+y), z = p cos (and y = p sin øwhat is T ? 23 g2 x Of ap (3x2 - y) (-p cos 6) + (3y2 – 2) (psin o) Oo (3x2 - y) (-psin“) + (3y? – x) (p cos ®) (3x2 - y) cos 0 + (3y2 -1 answer -
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Maximize p = 3x + 4y + 2z subject to 3x + y + ZS 15 x + 2y + ZS 15 X + y + ZS 12 x 0, y = 0,22 0. p=1 answer -
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Find the indicated partial derivative. f(x, y, z) = eryz'; Sxyz 4 fryz(x, y, z) = 4:2exy=*(x32-8 + 4xy=++1) = 7 y1 answer -
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Un gerente de una tienda de zapatos calculó la probabilidad de los zapatos vendidos, según su tamaño. Los resultados se presentan en la siguiente tabla: 8 Tamaño, X Probabilidad, P(X) 0.13 9 10 111 answer -
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(1 point) Find y as a function of x if y" - 9y" + 14y = 6e", = y(0) = 26, y(0) = 20, y" (0) = 14. y(x) =1 answer -
(1 point) Find y as a function of x if y" – 15y" + 56y' = 126e", = = y(0) = 21, y'(0) = 20, y" (0) = 12. y(x) = =1 answer -
Un estudio de pacientes que estuvieron sobrepeso encontró que el 56% también tuvieron presión sanguinea alta. Si dos pacientes sobrepeso son seleccionados al azar, entonces la probabilidad de que a1 answer -
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35-54. Continuity At what points of R are the following functions continuous ? 35. f(x, y) = x2 + 2xy - y3 36. f(x,y) ху x3y2 + 1 37. p(x,y) 4x?y2 x + y 38. S(x, y) (, ) 2xy x² - y² x² + y² 39.1 answer -
fracción equivalente
Dada la fracción 16/28 para hallar una fracción equivalente en su forma más simple se divide el numerador y el denominador por: * оз 012 02 ооо1 answer -
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35-54. Continuity At what points of R are the following functions continuous ? 35. f(x, y) = x2 + 2xy - y 36. f(x, y) ry x3y² + 1 37. p(x, y) 4x3y2 y? 38. S(x, y) 2xy x² - y² - 4 2 39. f(x,y) 40. f1 answer -
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(1 point) Find y as a function of x if - y y(4) – 4y" + 4y" = 0, , y(0) = 16, y(0) = 11, y"(0) = 4, y" (0) = 0. ) ' '0 y(x) - - = 2 =1 answer -
Una nave espacial recorre 5/6 de milla en 20 segundos. ¿Cuántas millas recorre en 100 segundos? * O 6 millas 21/6 de millas w O 10 millas O 25/6 de millas1 answer -
(1 point) Find y as a function of u if y" - 157" + 54y = 120e", y(0) = 26, y (0) = 13, y"(0) = 11. y(x) = I1 answer -
27-40 Find dy/dx. + 27. =xsin (5x) 28. y= Vitan (Vo) sin x 29. y = x sec(1/x) 30. y = sec(3x + 1) 31. y = cos(cos x) 32. sin(tan 3x) 1 + esc(x²) 34. y = Y 1 - cot(x2) 35. y = (5x + 8) (1 - 77) 36. y1 answer -
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Apply Laplace
6. y" – 2y + 2y = 2 + 2t, y(0) = y'(0) = 0 = 7. y" – 6y' +9y = te3t y(0) = 2, y'0) = 6 8. y' + y = 2 cost, y(0) =1, y0) = -1 (Hint: L-1 {671) - Lain ) {} 2s (+ ) = t sint) 9. y" - y = 5e cost, y(01 answer -
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(1 point) Find values of a,b,c and d such that the graph of the function f(x)=ax+bcx+d go through the points (−2,−51),(0.73),(2,−19), and (4,−35). f(x)= Remark: Since we can divide numerator
(1 point) Encuentra valores de a, b, cyd de manera que la gráfica de la función f(x) = ac + b cx +d pase por los puntos 5 (2+), (") (2 ;-)>(47") -2, •.; . , 0 2 y (4, -3 5 9 1 9 f(x) = Observació1 answer -
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solve As an exact equation: (3pts) Show that the given differential equation is exact, if it is not find the factor of integration. b) (6pts) Propose and solve one of the alternatives for the "almost
Resuelva x tan x dx - y cos x dy = 0 Como ecuación exacta: a) (3pts) Muestre que la ecuación diferencial dada es exacta, si no lo es busque el factor de integración b) (6pts) Proponga y solucione u1 answer -
Use the content on exact equations to solve (y2 sin x) dx + (1/x - y/x)dy = 0 (2 pts) Check that it is exact, if not, identify the integration factor that makes it exact (8 pts) Solve the solution for
Use el contenido sobre ecuaciones exactas para resolver (y2 sin x)dx + (1/x - y/x)dy = 0 (2 pts) Coteje que sea exacta, sino lo es identifique el factor de integración que la haga exacta (8 pts) Resu1 answer -
Find dy/dx by showing each step of your calculation y=2-x + 4.x2-5-x + 7 1. 2. y = -7+ 5x 3. y=(-x+ 7,4 4. y = (x - 35 5. y = (2-x2 + 5.x - 79 6. y = 7. y=(x? 8. y=v1- x 9. y = 13-x-7 6 7 1 10. у 11.1 answer -
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solve As an exact equation: (3pts) Show that the given differential equation is exact, if it is not find the factor of integration. b) (6pts) Propose and solve one of the alternatives for the "almost1 answer -
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solve As an exact equation: (3pts) Show that the given differential equation is exact, if it is not find the factor of integration. b) (6pts) Propose and solve one of the alternatives for the "almost1 answer -
Solve the given initial-value problem. day + y = 0, y(#t/3) = 0, y'(x/3) = 4 * + y = 0, do2 Y(0) = -2V3 cos(0) + 2 sin(0) ✓ 2 sin(0) - 213 cos(0)1 answer