Other Math Archive: Questions from December 06, 2022
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2 answers
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Lineal Algebra Course
Sea \( \mathbf{M}_{\mathbf{2} \times \mathbf{2}} \) el espacio de las matrices \( 2 \times 2 \). Considere \( T: \mathbf{M}_{\mathbf{2} \times \mathbf{2}} \longrightarrow \mathbf{M}_{\mathbf{2} \times2 answers -
Let the signature be \( \langle\langle\rangle,\langle \) It,le \( \rangle\rangle \), i.e., with no function symbols, and two predicate symbols It and le, both of arity 2 . Which among those is a model2 answers -
C: \( y=\arctan x \) D: \( y=\arctan x^{2} \) E: \( \quad y=\frac{4 x}{x+2} \) 6. (10) Solve \[ \frac{d y}{d x}=\frac{e^{x^{2}}}{y}, \quad y(1)=-2 \] \( \operatorname{ton}(y)=x^{2} \) A.) \( y=-\sqrt{2 answers -
Resuelva los siguientes sistemas de ecuaciones lineales o demuestre que es inconsistente. (a) \( \left\{\begin{array}{rr}3 x-4 y+2 z= & -15 \\ 2 x+4 y+z= & 16 \\ 2 x+3 y+5 z= & 20\end{array}\right. \)2 answers -
Dado \( \int_{0}^{5} f(x) d x=10, \int_{5}^{7} f(x) d x=3 \) y \( \int_{0}^{5} g(x) d x=-4 \). Evaluar la siguiente integral. \[ \int_{0}^{7} f(x) d x= \] A) 10 B) 13 C) 3 D) 72 answers -
1. (10 points) Solve the equation \[ y^{\prime \prime \prime}-y^{\prime \prime}-4 y^{\prime}+4 y=6 e^{x} \]2 answers -
The radius of convergence of the series ___ is
El radio de convergencia de la serie \( \sum_{n=0}^{\infty}\left(-\frac{1}{5}\right)^{n} \frac{x^{n}}{n !} \) es: a) \( R=0 \) b) \( R=\frac{1}{5} \) c) \( R=5 \) d) \( R=\infty \) e) No se puede dete2 answers -
\[ y[y+\sin (x)]=\left[\frac{1}{1+y^{2}}+\cos (x)-2 x y\right] \frac{d y}{d x} \quad y(0)=1 \] (Exact ecuación)2 answers