Other Math Archive: Questions from March 01, 2023
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2 answers
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a) Aplicando el método de Gauss resolver \[ \begin{aligned} x_{1}+2 x_{2}+3 x_{3} & =1 \\ 4 x_{1}+5 x_{2}+6 x_{3} & =-2 \\ 7 x_{1}+8 x_{2}+10 x_{3} & =5 \end{aligned} \] b) Aplicando el método de Ga2 answers -
2 answers
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if \( y=\frac{\cos x}{x} \), then \( y^{\prime}= \) and \( y^{\prime \prime}= \) Hence, \( x y^{\prime \prime}+2 y^{\prime}= \)2 answers -
Use the simplex method. \[ \begin{array}{c} \text { Minimize } g=10 x+9 y+11 z \text { subject t } \\ \left.\begin{array}{rl} x+y+z & \geq 3 \\ y+2 z & \geq 2 \\ x & \geq 2 . \\ (x, y, z)=\left(5, \fr2 answers -
Problem 6: Find the total differential of \( f(x, y) \). \[ f(x, y)=\cos y-3 x^{5} y \] A) \( d f=-\left(\sin y+3 x^{5}\right) d x-15 x^{4} y d y \) B) \( d f=-15 x^{4} y d x+\left(\sin y-3 x^{5}\righ2 answers -
2 answers
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\[ A=\left[\begin{array}{ccc} 6 & 0 & 0 \\ 0 & -5 & 0 \\ 0 & 0 & 5 \end{array}\right] \] then \[ A^{-1}=[ \]2 answers