\begin{tabular}{l} Question \\ A rectangle is to be inscribed in the ellipse with the following equation \\ Determine the maximum possible area of this rectangle. Enter an exact answer. \\ Provide your answer below: \\ Maximum area \( =\square \) units \( ^{2} \) \\ \hline\end{tabular}

asymptotes of \( f \).

Proporre un esempio di funzione \( g(x) \) tale che \[ \lim _{x \rightarrow+\infty} \frac{g(x)}{3 \log ^{2} x+1}=+\infty \]

\( ( e ^ { x } - \sin y ) d x + ( \cos y ) d y \)

s] Using calculus and showing all working, graph the function \[ f(x)=\frac{x+2}{x^{2}-1} \]

Decide whether the following statement is true or false. The cube function is odd and is increasing on the interval \( (-\infty, \infty) \). Choose the correct answer below. False True