1.

The unstable system is

A. <table><tr><td rowspan="2">G(s) H(s) = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>K</center></td><td rowspan="2"> ; K &gt; 0</td></tr><tr><td style="text-align: center;">(T<sub>1</sub>s + 1)(T<sub>2</sub>s + 1)</td></tr></table>
B. <table><tr><td rowspan="2">G(s) H(s) = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>K(s + 1)</center></td><td rowspan="2"> ; K &gt; 91</td></tr><tr><td style="text-align: center;">s<sup>2</sup>(s + 4)(s + 5)</td></tr></table>
C. <table><tr><td rowspan="2">G(s) H(s) = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>K(s + 2)</center></td><td rowspan="2"> ; K &gt; 2</td></tr><tr><td style="text-align: center;">(s + 1)(s - 3)</td></tr></table>
D. <table><tr><td rowspan="2">G(s) H(s) = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>K</center></td><td rowspan="2"> ; -1 &lt; K &lt; 2</td></tr><tr><td style="text-align: center;">(Ts + 1)<sup>3</sup></td></tr></table>
Answer» C. <table><tr><td rowspan="2">G(s) H(s) = </td><td style="border-bottom:1px solid #000000;vertical-align:bottom;padding-bottom:2px;"><center>K(s + 2)</center></td><td rowspan="2"> ; K &gt; 2</td></tr><tr><td style="text-align: center;">(s + 1)(s - 3)</td></tr></table>


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