Tema
Q:
3.2 Матрицы \( 3^{*} 3 \)
1. \( \left(\begin{array}{ccc}12 & 5 & 6 \\ -13 & 2 & 5 \\ 1 & 8 & -9\end{array}\right) \cdot X \cdot\left(\begin{array}{ccc}0 & 3 & 10 \\ -9 & -6 & -11 \\ 12 & 1 & 10\end{array}\right)=\left(\begin{array}{ccc}-1314 & 267 & -428 \\ 2472 & 89 & 718 \\ -1716 & 409 & 522\end{array}\right) \)
Q:
The volume of a cylinder with height \( h \) and radius \( r \) can be found using the formula
\( V=\pi r^{2} h \).
Sketch a cylinder with radius 9 feet and height 10 feet, then find the volume and select
the correct units. Round your answer to the the nearest tenth.
Volume \( =\square \)
Q:
Write an equation that expresses the following relationship.
\[ d \text { varies directly with } w \text { and inversely with the square root of } p \]
In your equation, use \( k \) as the constant of proportionality.
Q:
○39.5. а) \( \left\{\begin{array}{l}x-3 y=5, \\ 3 x+2 y=4 ;\end{array}\right. \)
б) \( \left\{\begin{array}{l}3 x+y=1, \\ 2 x-5 y=-22 ;\end{array}\right. \)
о39.6. а) \( \left\{\begin{array}{l}x+y=4, \\ 4 x-5 y=7 ;\end{array}\right. \)
б) \( \left\{\begin{array}{l}x-y=6, \\ 5 x-2 y=-3 ;\end{array}\right. \)
о39.7. а) \( \left\{\begin{array}{l}40 x+3 y=-10, \\ 20 x-7 y=-5 ;\end{array}\right. \)
б) \( \left\{\begin{array}{l}5 x+2 y=1, \\ 15 x+3 y=3 ;\end{array}\right. \)
Q:
A one-to-one function is given. Write an equation for the inverse function.
\( s(x)=\frac{2}{x+4} \)
\( s^{-1}(x)=\square \)
Q:
b) \( \lim _{x \rightarrow \frac{\pi}{4}} \frac{\sqrt{2} \sin x-1}{2 \cos ^{2} x-1} \)
Q:
\begin{tabular}{l} A one-to-one function is given. Write an equation for the inverse function. \\ \( \qquad m(x)=7 x^{3}+4 \) \\ \( m^{-1}(x)=\square \) \\ \hline\( \square \) \\ \( \square \)\end{tabular}
Q:
(a) \( \sum_{n=1}^{\infty} 2\left(\frac{4}{3}\right)^{n-1} \)
Q:
Wring an equation that models variation
Write an equation that expresses the following relationship.
\( w \) varies directly with \( u \) and inversely with the square of \( d \)
In your equation, use \( k \) as the constant of proportionality.
\( \square \)
Q:
A one-to-one function is given. Write an equation for the inverse function.
\( g(x)=\frac{3-x}{4} \)
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