27. \( \int_{0}^{1}(u+2)(u-3) d u \)

1. Bala had a total of 420 red and green apples in the ratio \( 4: 3 \). After he sold an equal number of red and green apples, the number of red and green apples left was in the ratio \( 8: 5 \). How many apples did Bala sell altogether?

How is John Proctor's response to the request that he sign his confession both a loss and a victory? How does his decision enable him to exert power?

Problem. \( 4: \) Find the equation of the line tangent to \( f(x)=-x^{3}+9 x^{2}-6 x+9 \) at the point \( (7,65) \) \[ y=\square \]

9) \( 100 \mathrm{~m}^{2} \mathrm{n}^{4}-169 \mathrm{y}^{6}= \) omio cuadrado perfecto: \( \mathrm{m}^{2}+2 \mathrm{~m}+1= \) \( 4 \mathrm{x}^{2}+25 \mathrm{y}^{2}-20 \mathrm{xy}= \)

\begin{tabular}{|l|}\hline Question 2 \\ Which sentences use active voice? \\ More than any other book in the series, however, \\ Harry Potter and the Deathly Hallows (DH) deeply \\ engages Vergil's epic [the Aeneid]. \\ Harry had encountered his parents earlier in the \\ novels; in the Philosopher's Stone, he saw them in \\ the Mirror of Erise and in the Goblet of Fire, at \\ the tomb of Voldemort's father. \\ The first set of connections between the two \\ texts can be observed in Aeneid 3. \\ Having performed a kind of burial rites to his \\ parents' grave, Harry is now able to resume his \\ mission even though his feelings of grief are still \\ raw. \\ At the end of the chapter, however, Harry's giving \\ in to his sorrow is followed by the realization that \\ he needs to control his grief. \\ \hline\end{tabular}