Other Math Archive: Questions from May 24, 2023
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\( \begin{array}{l}\text { 2. } x=\left[\begin{array}{cc}1 & -2 \\ 0 & 3\end{array}\right] \text { and } y=\left[\begin{array}{cc}-3 & 1 \\ 2 & -1\end{array}\right] \\ (x+y)(x-y] \neq x^{2}-y^{2}\end{2 answers -
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2) Escribe x² + 2x + 3 en la forma (x + r)² + s. a) (x-1)²+2 b) (x-1)²-2 c) (x + 1)² +2 d) (x+1)²-2
2) Escribe \( x^{2}+2 x+3 \) en la forma \( (x+r)^{2}+s \) a) \( (x-1)^{2}+2 \) b) \( (x-1)^{2}-2 \) c) \( (x+1)^{2}+2 \) d) \( (x+1)^{2}-2 \)2 answers -
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4. Resuelva el problema de valores de frontera \[ \frac{\partial u}{\partial t}=2 \frac{\partial^{2} u}{\partial x^{2}}, \quad u(0, t)=\frac{\partial u}{\partial x}(4, t)=0, \quad u(x, 0)=25 x \] Dond2 answers -
Solve the boundary value problem
5. Resuelva el problema de valores de frontera \[ \frac{\partial}{\partial x}\left(x \frac{\partial y}{\partial x}\right)=\frac{\partial^{2} y}{\partial t^{2}} \] Dado que \( y(x, 0)=f(x), y_{t}(x, 0)2 answers -
Un acondicionador de aire opera como un refrigerador de Ciclo de Carnot entre una temperatura exterior \( T_{a} \) y una temperatura de interior más baja, \( T_{b} \). El cuarto recibe calor desde el2 answers -
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\( y=\left[\frac{10^{x}\left(-x^{2}+x+10\right)^{2}}{\left(x^{2}-2 x\right)^{2}}\right]^{-1}, x=1 \)0 answers -
Necesito procedimiento de estos problemas
1. Calcula \( \mathcal{L}\left\{e^{-t} \cosh 2 t\right\} \). 2. Encuentre \( \mathcal{L}\{f(t)\} \), para \[ f(t)=\left\{\begin{array}{c} 2 t, 0 \leq t2 answers -
3. Encuentre la transformada inversa de Laplace para \[ F(s)=\frac{2 s-4}{\left(s^{2}+s\right)\left(s^{2}+1\right)} \]2 answers -
son ambas, necesitas la primera para resolver la segunda
4. Calcule \( \mathcal{L}\left\{t^{2} e^{a t} \cos b t\right\} \). 5. Resuelva el problema de valor inicial \[ \begin{aligned} y^{\prime \prime}-4 y^{\prime}+4 y & =t^{3} \\ y(0) & =1 \\ y^{\prime}(0)2 answers -
pa resolver todos, se necesita resolver la número 8
8. Calcule \( \mathcal{L}^{-1}\{F(s)\} \) para \[ F(s)=\frac{e^{-2 s}}{s^{2}(s-1)} \] 9. Resuelva \[ \begin{array}{l} y^{\prime \prime}+y=\left\{\begin{array}{rr} 0, & 0 \leq t2 answers