Advanced Math Archive: Questions from May 10, 2023
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I need to solve the last two equation in red
Siendo eje a \( \phi . n \) Siendo ese \( x \ominus \curvearrowleft \) \( S^{2}=\dot{S}_{x}^{2}+\dot{S}_{y}^{2}+\dot{S}_{2}^{2} \) \( S_{x}=2 l \cos \theta+2 l \sin \theta \) \( S z=2 l \cos \theta+20 answers -
a, b and c
I. Determine si los siguientes campos vectoriales son conservativos, de no serlo, explique. a) \( F(x, y)=3 x^{2} y^{2} i+2 x^{3} y j \) b) \( F(x, y)=x e^{x^{2} y}(2 y i+x j) \) c) \( F(x, y, z)=x y^2 answers -
\[ \left\{\begin{array}{l} t\left(y^{2}-2 / y\right) y^{\prime}+(t+3) y^{2}=0 \\ y(1)=1 \end{array}\right. \] Solution of IVP A) \( \frac{1}{y^{2}}+3 \ln (t)=1 \) c) \( y-\frac{1}{y^{2}}+t-3 \ln (t)=12 answers -
1. Define \( A_{\alpha}=\left\{(x, y) \in \mathbb{R}^{2} \mid 0 \leq x \leq \alpha, 0 \leq y \leq \frac{-(1-\alpha)}{\alpha} x+(1-\alpha)\right\} \), where \( 02 answers -
(1 point) Given f(x, y) = 3xy² - 4x5y. Compute: 0² f 0х2 8² f მ2 20 -100x^3y 6x A
Given \( f(x, y)=3 x y^{2}-4 x^{5} y \) \[ \begin{array}{l} \frac{\partial^{2} f}{\partial x^{2}}= \\ \frac{\partial^{2} f}{\partial y^{2}}= \end{array} \]2 answers -
is [20] Solve the given ditterential equatio (i) \( y^{\prime \prime}-2 y^{\prime}+4 y=0 \) (2) \( x^{2} y^{\prime \prime}+3 x y^{\prime}-4 y=0 \) (3) \( \frac{d y}{d x}=e^{3 x+2 y} \) (4) \( \quad y^2 answers -
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