Algebra Archive: Questions from October 13, 2022
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1. Find the equation of the straight line passing through the points (-1,6) y (3,8) 2. Find the equation of the straight line that you pass parallel to the line 6x - 4y =3 and has x-intercept at -
1. Halle la ecuación de la línea recta que pasa por los puntos \( (-1,6) \) y \( (3,8) \) 2. Halle la ecacuión de la línea recta que pasas paralela a la recta \( 6 x-4 y=3 \) y tiene intercepto en2 answers -
4. (25 pts) Diagonalize \( A=\left[\begin{array}{cc}2 & 1 \\ 4 & -1\end{array}\right] \), if possible. \[ A=\left[\begin{array}{cc} 2 & 1 \\ 4 & -1 \end{array}\right] \]2 answers -
Practica: Parea la grófica con la función correspondiente. 1. \( f(x)=k \) 2. \( f(x)=|x| \) 3. \( f(x)=(x)^{2} \) 4. \( f(x)=(x)^{3} \) 5. \( f(x)=x \) 6. \( f(x)=\sqrt{x} \) 7. \( f(x)=\llbracket0 answers -
diagonalize the A matrix, if possible.
4. (25 pts) Diagonalize \( A=\left[\begin{array}{cc}2 & 1 \\ 4 & -1\end{array}\right] \), if possible.2 answers -
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1. Evaluate the following integrals: (i) \( \int\left(3 x^{5}-\pi x^{2}+4 x-19\right) d x \) (ii) \( \int\left(3 \cos (5 x)+\frac{1}{2 x}-\sqrt{x}\right) d x \) (iii) \( \int\left(\frac{e^{-3 x}}{2}+\2 answers