Algebra Archive: Questions from October 21, 2022
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(16 points) Solve \[ \begin{array}{r} x-y+z=w=2 \\ y+2 z+w=2 \\ -z+w=2 \\ -x+2 y-3 z+5 w=3 \end{array} \]2 answers -
Calcula la soluciĆ³n general de la siguiente ecuaciĆ³n diferencial \( x d y-6\left(y+x^{8}\right) d x=0 \)2 answers -
Calcula la soluciĆ³n general de la siguiente ecuaciĆ³n diferencial. \( \frac{d y}{d x}=e^{2 x-3 y} \)2 answers -
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a. The linear transformation \( T_{1}: \mathbf{R}^{2} \rightarrow \mathbf{R}^{2} \) is given by: \[ T_{1}(x, y)=(2 x+5 y, 6 x+16 y) \text {. } \] Find \( T_{1}^{-1}(x, y) \) \[ T_{1}^{-1}(x, y)=(\quad2 answers -
match the polynomial with its end behaviour
\( : x \rightarrow \infty, y \rightarrow \infty ; x \rightarrow-\infty, y \rightarrow-\infty \quad \) :x \( x \rightarrow \infty, y \rightarrow-\infty ; x \rightarrow-\infty, y \rightarrow \infty \) :2 answers -
Halla el perĆmetro de un triĆ”ngulo si sus lados miden: \( 2 x+5 y ; 2 x-y ; x+y \) \[ 5 x+5 y \] \( x-y \) \( -x+5 y \) \( x+y \) \( x \)2 answers