Advanced Math Archive: Questions from August 11, 2023
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5. For the following BVP \\[ y^{\\prime \\prime}=\\frac{-2}{x} y^{\\prime}+\\frac{2}{x^{2}} y+\\frac{\\sin (\\ln x)}{x^{2}}, \\quad 12 answers -
10. Solve the following IVP using Laplace Transforms: \\[ y^{\\prime \\prime}-y^{\\prime}-2 y=1, y(0)=0, y^{\\prime}(0)=1 \\]2 answers -
1.- Analice si los siguientes conjuntos son o no un Espacio Vectorial. Si lo son demuestre las propiedades de cerradura, si no, indique al menos una propiedad que no se cumpla. a) El conjunto de todos2 answers -
Encuentre la solución general para el siguiente sistema: dx/dt = -2x - 3y dy/dt = -3x - 2y + 2e^(2t)2 answers
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(a) Find \\( f^{\\prime}(0) \\) if \\[ f(x)=\\left\\{\\begin{array}{l} x^{3} \\sin \\left(\\frac{1}{x}\\right) \\text { if } x \\neq 0 \\\\ 0 \\text { if } x=0 \\end{array}\\right. \\]2 answers -
For the following, find y' using logarithmic differentiation. (4x² + 5)² (x + 1)² (6x + 5) y = y' =
For the following, find \\( y^{\\prime} \\) using logarithmic differentiation. \\[ y=\\frac{\\left(4 x^{2}+5\\right)^{2}}{(x+1)^{2}(6 x+5)} \\] \\[ y^{\\prime}= \\]2 answers -
For the following, find y'. y = 19x √x y' = Q
For the following, find \\( y^{\\prime} \\). \\[ y=19 x^{\\sqrt{x}} \\] \\[ y^{\\prime}= \\]2 answers -
Find y' y = y' = 3x-2 2x + 1
Find \\( y^{\\prime \\prime} \\) \\[ y=\\frac{3 x-2}{2 x+1} \\] \\[ y^{\\prime \\prime}= \\]2 answers -
Ə(x,y,z) (1 point) Find the Jacobian. a(s,t,u) X = ¤ 5s +t+5u, y = 3t − 3s + 4u, z = 3u - (s + 3t) - a(x,y,z) a(s,t,u) = 7 where
(1 point) Find the Jacobian. \\( \\frac{\\partial(x, y, z)}{\\partial(s, t, u)} \\), where \\[ x=5 s+t+5 u, y=3 t-3 s+4 u, z=3 u-(s+3 t) \\] \\[ \\frac{\\partial(x, y, z)}{\\partial(s, t, u)}= \\]2 answers -
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\r\nSimplify. \\[ \\begin{array}{l} \\frac{\\left(\\sec ^{2} \\theta-1\\right)}{\\cot ^{2} \\theta}-\\frac{\\left(1+\\tan ^{2} \\theta\\right)}{\\left(\\csc ^{2} \\theta-1\\right)} \\\\ -\\tan ^{2} \\2 answers -
Identify ALL correct usages of the sum and difference formula for sine, cosine and tangent of \\( \\frac{13 \\pi}{12} \\). \\[ \\begin{array}{l} \\sin \\frac{13 \\pi}{12}= \\\\ \\sin \\frac{4 \\pi}{5}2 answers -
Answer the two following problems with procedures: 1)Two variables are defined: f1 = 6.9x + 4.1y f2 = 6.4x + 6.6y Determine the value of x so that f1 = 27 and f2 = 1.6. 2)Two vectors are defined in th
Se definen dos variables: \\[ \\begin{array}{l} f 1=6.9 x+4.1 y \\\\ f 2=6.4 x+6.6 y \\end{array} \\] Determine el valor de \\( x \\) para que \\( \\mathrm{f} 1=27 \\) y \\( \\mathrm{f} 2=1.6 \\). Pre2 answers -
Solve Laplace's equation, \\( \\frac{\\partial^{2} u}{\\partial x^{2}}+\\frac{\\partial^{2} u}{\\partial y^{2}}=0,02 answers