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Početní metody - LS 24/25

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Spočtěte neznámou yy ze soustavy rovnic

\begin{array}{rrrrr} x & +3y & -6z & = & 4 \\-9x & -7y & -2z & = & 8 \\9x & +4y & +5z & = & 7 \end{array}\begin{array}{rrrrr} x & +3y & -6z & = & 4 \\-9x & -7y & -2z & = & 8 \\9x & +4y & +5z & = & 7 \end{array}
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Určete definiční obor funkce

f(x)=\sqrt{x^2-3x-40}+9\log({-4-x}).f(x)=\sqrt{x^2-3x-40}+9\log({-4-x}).
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Určete hodnost matice


A=\left(
\begin{array}{rr}
2 & -5\\
-4 & 13\\
1 & -3
\end{array}
\right).

A=\left(

\begin{array}{rr}

2 & -5\\

-4 & 13\\

1 & -3

\end{array}

\right).

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Vypočtěte funkční hodnotu funkce dané předpisem

 f(x)=3 \ln (e^x) f(x)=3 \ln (e^x)

v bodě  -1-1.

Zaokrouhlete na dvě desetinná místa.

 

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