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123
If $A=\left(\begin{array}{ll}1 & 2 \\ 3 & 5\end{array}\right)$, the value of $\left|A^{4}+3 A^{2}-5 A+6 I\right|$ is _____________.
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124
If $f(x)=\frac{\sin x+\cos x}{\sin x-\cos x}$, the value of $f^{\prime}(x)$ at $x=0$ is ___________.
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125
If $f(2)=5$ and $(f(x))(f(x+1))=3$ for all real values of $x$, the value of $f(10)$ is ____________.
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129
A proportional controller is used to control the temperature of an autoclave from $60^{\circ} \mathrm{C}$ to $130^{\circ} \mathrm{C}$. If the proportional band setting of...