Advanced Math Archive: Questions from September 04, 2022
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Compute the integra.l \[ \begin{array}{c} I=\iint_{P} \frac{x^{2}}{y^{2}} d x d y, \\ P=\{(x, y) \mid x \leq 2, x y \geq 1, y \leq x, x \geq 0\} . \end{array} \]1 answer -
Sean \( \vec{u} \) y \( \vec{v} \) los vectores: \[ \begin{array}{l} \vec{u}= \\ \vec{v}= \end{array} \] Determine 1) La longitud de \( \vec{v} \) 2) El valor de \( \vec{u} \bullet \vec{v} \) 3) El á1 answer -
Indique las opciones que contienen un conjunto ortogonal de vectores: \( \left[\begin{array}{r}1 \\ 1 \\ -1 \\ 1\end{array}\right],\left[\begin{array}{r}1 \\ 1 \\ 1 \\ -1\end{array}\right],\left[\begi1 answer -
Respecto al conjunto de vectores: \[ \left\{\mathbf{v}_{1}=\left[\begin{array}{l} 5 \\ 6 \\ y \end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{l} 5 \\ x \\ 6 \end{array}\right], \mathbf{v}_{3}=\1 answer -
resolve by laplace
\( y^{\prime \prime}+5 y^{\prime}+4 y=0, \quad y(0)=1, y^{\prime}(0)=0 \) \( y^{\prime \prime}-6 y^{\prime}+9 y=t, \quad y(0)=0, y^{\prime}(0)=1 \) \( y^{\prime \prime}-2 y^{\prime}+5 y=-8 e^{-t} ; y(1 answer -
List the values of x, y, and z in order for the set to be orthogonal. You can enter fraction or up to 4 digits after decimal point without rounding
Respecto al conjunto de vectores: \[ \left\{\mathbf{v}_{1}=\left[\begin{array}{l} 5 \\ 6 \\ y \end{array}\right], \mathbf{v}_{2}=\left[\begin{array}{l} 5 \\ x \\ 6 \end{array}\right], \mathbf{v}_{3}=\1 answer -
1 answer
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Solve the following IVP: a) \( y^{\prime \prime \prime}-4 y^{\prime \prime}+20 y^{\prime}=0 \quad ; \quad y(0)=2, y^{\prime}(0)=0, y^{\prime \prime}(0)=-6 \) b) \( y^{\prime \prime}+4 y=0 \quad ; \qua1 answer -
Determine proyección del vector \( \mathbf{b}=\left[\begin{array}{r}-2 \\ 5 \\ -1\end{array}\right] \) sobre el espacio que generan los vectores: \( \left\{\mathbf{v}_{1}=\left[\begin{array}{l}3 \\ 30 answers -
Resuelva por mínimos cuadrados el sistema: \[ \left[\begin{array}{lll} 2 & 4 & 1 \\ 2 & 5 & 3 \\ 5 & 3 & 2 \\ 3 & 2 & 5 \end{array}\right]\left[\begin{array}{l} x_{1} \\ x_{2} \\ x_{3} \end{array}\ri1 answer -
Encuentre la ecuación de la recta \( y=m x+b \).que se ajusta mejor, en el sentido de mínimos cuadrados, a los datos de la siguiente tabla: Forme el sistema para m y b sustituyendo los puntos en el1 answer -
Solve the system below. Parameterize the solution set. \( \left\{\begin{array}{lllllll}x+y+z-w-u & = & 10 \\ x+y+ & 3 z+w-2 u & = & 16 \\ z+w & = & 1\end{array}\right. \) []\( +\left[\mathbf{y}+\left[1 answer -
Solve the system \( \left[\begin{array}{l}x_{1} \\ x_{2} \\ x_{3} \\ x_{4}\end{array}\right]=\left[+s\left[\begin{array}{l}]\end{array}\right]\right. \)2 answers -
Use the method of successive differences to determine the next number in each of the sequences. 1. 1, 4, 11, 22, 37, 56, ... 3. 6, 20, 50, 102, 182, 296, ... 5, 0, 12, 72, 240, 600, 1260, 2352. .... 7
Sec. \( 1.2 \) (Página # 16 y #17.) Utilice el método de las diferencias sucesivas para determinar el número que sigue en cada una de las sucesiones. 1. \( 1,4,11,22,37,56, \ldots \) \( 3,6,20,50,11 answer -
Let \( X \) be the plane \( \mathbb{R}^{2} \), and let \( \mu_{1}, \mu_{2}, \mu_{3}, \mu_{4}: X \times X \rightarrow \mathbb{R} \) be given by \[ \begin{array}{l} \mu_{1}\left((x, y),\left(x^{\prime},1 answer -
I don't know how to do this problem based on the derivative table. The subject is numerical methods. help :( it's by hand, with equations and everything
Use Lagrange interpolation polynomials to find the finite difference formula for the second derivative at the point \( x=x_{i} \) using the unequally spaced points \( x=x_{i+1} \), and \( x=x_{i+2} \)1 answer -
Heelp, I need a detailed procedure for greater understanding. subject of numerical methods
4. Use the data below to estimate the derivative of \( \mathrm{y} \) at \( \mathrm{x}=1.7 \) : Resumen de fórmulas de diferencia finita para la diferenciación numérica Diferenciación usando polin1 answer