Advanced Math Archive: Questions from December 22, 2022
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2 answers
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3) Find the general solution of the equation \[ y^{\prime \prime \prime}-y^{\prime \prime}+y^{\prime}-y=e^{x}+2 \cos x-4 \sin x . \]2 answers -
suelve \( \left(y+x \cot \frac{y}{x}\right) d x-x d y=0 \) \( \ln \cos \frac{y}{x}|=\ln | x \mid+c \) \[ x \cos \frac{y}{x}=c \] \[ \ln |x|=\sec ^{2}\left(\frac{y}{x}\right)+c \] Ninguna de las anteri2 answers -
2 answers
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9. Which function below dana-n \( \mathrm{ph} \) ? A. \( y=2 \cos x \) C. \( y=\cos x-1 \) B. \( y=\cos x \) D. \( y=\cos x-2 \) 10. What is the range of the function \( y=4 \sin 2\left(x+\frac{2 \pi}2 answers -
\( \quad \mathcal{X}=\left\{(x, y) \in \mathbb{R}^{2}: x-y+1 \geq 0, y \geq 0,4-(x+1)^{2}-y^{2} \geq 0\right\} \) \( 8-4 x+x^{2}+4 y+y^{2} \) \( (x+2)^{2}+(y+2)^{2} \)2 answers -
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\( \frac{\sin \frac{\pi}{6} \tan \frac{\pi}{3}}{\csc \frac{\pi}{4}} \) \( \frac{\sin \frac{\pi}{6} \tan \frac{\pi}{3}}{\csc \frac{\pi}{4}} \)2 answers -
If the vectors u and v are defined in R^4 by u = (1, -1, 0, 1) and V = (0, 2, 0,-2), resolve for w in w + 3v = -2u
Si los vectores \( u \) y \( v \) están definidos en \( R^{4} \) por \( u=(1,-1,0,1) \) y \( v=(0,2,3,-1) \), resuelva para \( w \) en \( w+3 v=-2 u \) a. \( (1,-3,9,-5) \) b. \( (0,0,0,0) \) c. \( (0 answers