Algebra Archive: Questions from April 30, 2023
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Resuelva el sistema por el metodo de invertibilidad.
Considera el siguiente sistema de ecuaciones \[ \left\{\begin{array}{c} x+3 y-2 z+2 w=12 \\ 2 x-2 y-z+w=5 \\ 3 x+y-2 z-4 w=16 \\ x-y-z-w=3 \end{array}\right. \]2 answers -
Q34. If \( f^{\prime}(0)=4 \) and \( f(4)=2 \) and \( f^{\prime}(4)=k \). Then find the value of \( k \) if \( f(x+y)=f(x)+f(y) \forall x, y \in R \)2 answers -
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2. Sea \( \overrightarrow{\boldsymbol{E}}=\sqrt[3]{\boldsymbol{r}^{2}} \widehat{\boldsymbol{a}}_{r}+\frac{\tan \theta}{r} \widehat{\boldsymbol{a}}_{\boldsymbol{\theta}}+\frac{\cos \phi \csc \theta}{r^0 answers -
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\[ \begin{array}{l} \left\{\begin{array}{l} x+y=1 \\ x^{2}+y^{2}=1 \end{array}\right. \\ \left\{\begin{array}{l} y=x^{2}+5 \\ y=|6 x| \end{array}\right. \end{array} \] Do two cases: \( y=6 x \) and \(2 answers -
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K For the following function, find the value of (a) f(-5) and (b) f(2), if possible. x²-5 if x ≤0 x³ + 1 if x > 0 y=
For the following function, find the value of \( (a) f(-5) \) and \( (b) f(2) \), if possible. \[ y=\left\{\begin{array}{ll} x^{2}-5 & \text { if } x \leq 0 \\ x^{3}+1 & \text { if } x>0 \end{array}\r2 answers -
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