Other Math Archive: Questions from October 16, 2023
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A continuación, calcular la pendiente de la recta tangente en el punto \( (2,1) \). Haga la gráfica correspondiente. \[ x^{2} y^{2}+x \operatorname{sen} y=4 \]1 answer -
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26. Let \( Q(x, y) \) be the statement " \( x+y=x-y \)." If the domain for both variables consists of all integers, what are the truth values? a) \( Q(1,1) \) b) \( Q(2,0) \) c) \( \forall y Q(1, y) \1 answer -
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\[ P C[-\pi, \pi]:=\{f \in C[-\pi, \pi]: f(-\pi)=f(\pi)\} \] Supongamos que \( \left(L_{n}\right) \) es una sucesión de operadores \( L_{n}: \mathrm{C}[-\pi, \pi] \rightarrow \mathrm{C}[-\pi, \pi] \)1 answer -
238. La plataforma rigida de la figura \( P-238 \) tiene masa despreciable y descansa sobre dos barras de aluminio, cada tuna de \( 250.00 \mathrm{~mm} \) de longitud. La barra central es de acero y t1 answer -
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1. Find all solutions of the following equations: (a) \( y^{\prime}+2 x y=x \) (b) \( x y^{\prime}+y=3 x^{3}-1 \quad \) (for \( \left.x>0\right) \) (c) \( y^{\prime}+\boldsymbol{e}^{x} y=3 \boldsymbol1 answer -
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12. Use \( \tan ^{-1} x=x-\frac{x^{3}}{3}+\frac{x^{5}}{5}-\frac{x^{7}}{7}+\ldots+(-1)^{n} \frac{x^{2 n+1}}{2 n+1}+\ldots \) con con para representar \( \pi \) como la suma de una serie infinita. ¿Qu1 answer -
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Solve the following initial value problem \[ y^{\prime \prime}-4 y=e^{2 x}, \quad y(0)=6, \quad y^{\prime}(0)=2 \] \( y= \) help (formulas)1 answer -
Evaluate the triple integral. \[ \iiint_{E} y d V, \text { where } E=\{(x, y, z) \mid 0 \leq x \leq 5,0 \leq y \leq x, x-y \leq z \leq x+y\} \]1 answer -
Find the indicated values. (a) yPy − 2 (b) yCy − 2
Find the indicated values. (a) \( y^{P} P_{y-2} \) (b) \( { }_{y} C_{y}-2 \)1 answer