Advanced Math Archive: Questions from July 17, 2023
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3. Solve the initial value problem. a) \( y^{\prime \prime}+y=\cos (x) ; y(0)=1, y^{\prime}(0)=-1 \) b) \( y^{\prime \prime}-2 y^{\prime}+2 y=x+1 ; y(0)=3, y^{\prime}(0)=0 \)2 answers -
restriccion de desigualdad
Determinar el punto \( (x, y) \) eb donde se preforta el máximo de la función \( f(x, y)=-5 x^{2}-7 y^{2}+10 x y+40 \) sujeta a la restricción \( x+y \leq 13 \) \( \left(\frac{11}{78}, \frac{11}{682 answers -
restriccion de desigualdad
Determinar el punto \( (x, y) \) en donde se presenta el máximo de la función \( f(x, y)=12 x y-x^{2}-3 y^{2} \) sujeta a la restricción \( x+y \leq 16 \) Respuesta: \( x= \) \[ y= \]2 answers -
help!
Una fábrica produce dos tipos de máquinas para trabajo pesado: \( x \) y \( y \). Si la función de costos conjuntos está dado por la función \( C(x, y)=x^{2}+2 y^{2}-x y \). ¿Cuántas máquinas2 answers -
1. (12.5P) Let the following vectors be: A = -2i + 6j - 4k and B = -2i + 8j + 6k and C = 5k Calculate: Orginal:
\( \frac{1}{2} \vec{A}-3 \vec{B}-\frac{1}{5} \vec{C} \) 1. (12.5P) Sean los siguientes vectores: \( \vec{A}=-2 \hat{\imath}+ \) \( 6 \hat{\jmath}-4 \hat{k} \) y \( \vec{B}=-2 \hat{\imath}+8 \hat{\j2 answers -
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#7 and #8 please!
In Exercises \( 1-8 \), calculate the differential \( d F \) for the given function \( F \). 1. \( F(x, y)=2 x y+y^{2} \) 2. \( F(x, y)=x^{2}-x y+y^{2} \) 3. \( F(x, y)=\sqrt{x^{2}+y^{2}} \) 4. \( F(x2 answers -
7. Solve the initial value problem \[ \begin{aligned} & x^{\prime}=-4 y \\ & y^{\prime}=x \\ x(0)=0, & y(0)=-7 . \end{aligned} \]2 answers -
1. Solve the following initial value problems. (a) \[ \begin{array}{l} x^{\prime}=-y, \\ y^{\prime}=x \\ x(0)=1, y(0)=1 \end{array} \] (b) \[ \begin{array}{l} x_{1}^{\prime}=-2 x_{2}, \\ x_{2}^{\prime2 answers -
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Resolver usando el método de los coeficientes indeterminados 1. y"+4y'-2y=2x^2-3x+6 2. y"'+4y=3sen2x2 answers
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