A 500 kg rocket ejects gasses downward with a velocity of \( 100 \mathrm{~m} / \mathrm{s} \). Determine the thrust force generated by the ejection of gasses. Then, analyze how the thrust force would change if the ejection velocity increases to \( 150 \mathrm{~m} / \mathrm{s} \). (5pts)

\begin{tabular}{l} e),- 4321 \\ 2387,3450 \\ \hline\end{tabular}

Which graph represents the logarithmic function? \( y=-2 \ln (x-1)+1 \)

Determine the minimum value of the objective function \( C=5 x+4 y \) \( \left\{\begin{array}{l}2 x+3 y \geq 12 \\ x \geq 0 \\ y \geq 0\end{array}\right. \) Enter your answer in the box. \( C=\square \)

Calcule o logaritmo. Arredonde sua resposta para a terceira casa decimal. \( \log _{8}(5) \approx \)

Obtain exponsion of \( \left(1+x-2 x^{2}\right)^{8} \) upto the ferm \( x^{3} \).