Advanced Math Archive: Questions from April 16, 2023
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Resolver el sistema de ecuaciones lineales 2x 1 + x 2 - 3x 3 = 4 4x1 + 2x3 = 10 -2x1 + 3x2-13x3 = -80 answers
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solo datos y cómputos
Considere la función, \( f(x)=b x^{2}+(a * b) x-(a * b * c) \), y su número de estudiante para determinar los valores de \( a, b \) y \( c \) de la siguiente manera: \( a \) - es la suma de los prim0 answers -
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Consider the function, 𝑓(𝑥) = 𝑏x^ 2 + (ab)𝑥 − (𝑎𝑏𝑐), and your student number for Determine the values of a, b, and c as follows: a – is the sum of the first 5 digits of
Considere la función, \( f(x)=b x^{2}+(a * b) x-(a * b * c) \), y su número de estudiante para determinar los valores de \( a, b \) y \( c \) de la siguiente manera: \( a \) - es la suma de los prim2 answers -
Q3. Solve the sup \[ y^{\prime \prime}-5 y^{\prime}-14 y=9+n(t-3), y(0)=0, \quad y^{\prime}(0)=10 \text {. } \] using Laplace transform.2 answers -
Derive the equation: From:
\( I(t)=E_{R 0}^{2}+E_{S 0}^{2}+2 E_{R 0} E_{S 0} \cos \left(2 k_{S} l_{S}-2 k_{R} l_{R}\right) \) \( \begin{aligned} E_{R} & =E_{R 0} \exp \left(i\left(2 k_{R} l_{R}-\omega t\right)\right) \\ E_{S}2 answers -
Given \[ f(x, y)=\frac{x^{2} y-y^{2}}{x^{2}+y^{2}} \] the following holds true \begin{tabular}{|l} (a) \( \nabla f(x, y)=\left\langle\frac{2 x y^{2}(1+y)}{\left(x^{2}+y^{2}\right)^{2}}, \frac{x^{4}-x^2 answers -
Why does this happen?
Desigualdad triangular: para cualquier \( \mathrm{x}, \mathrm{y} \in \mathrm{R}^{\mathrm{n}} \), tenemos: \[ \|\mathrm{x}+\mathrm{y}\|_{\mathrm{B}}^{2}=(\mathrm{x}+\mathrm{y})^{\mathrm{T}} \mathrm{B}(2 answers -
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Problem Set 1:
(5 points) Let \[ g(x, y, z)=\frac{1}{\sqrt{x^{2}+y^{2}+z^{2}}}, \quad \forall(x, y, z) \in \mathbb{R}^{3} \backslash\{(0,0,0)\} \] Compute \( \Delta g(x, y, z) \)2 answers -
2. Find the general(real-valued) solution of each linear system below. (a) \( \mathbf{y}^{\prime}=\left[\begin{array}{ll}2 & -5 \\ 1 & -2\end{array}\right] \mathbf{y} \) (b) \( \mathbf{y}^{\prime}=\le2 answers -
3. Solve the following IVPs (a) \( y^{\prime}-y=e^{t} ; y(0)=1 \) (b) \( y^{\prime \prime}+9 y=\cos 3 t ; y(0)=1, y^{\prime}(0)=-1 \) (c) \( y^{\prime \prime}+y^{\prime}+y=\sin t ; y(0)=0, y^{\prime}(0 answers -
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