A speed boat is traveling at \( 34.8 \mathrm{~m} / \mathrm{s} \) in the \( y \)-direction. A current is flowing at \( 12.5 \mathrm{~m} / \mathrm{s} \) in the x-direction. What is the direction of the velocity of the boat?

\( \perp \operatorname { Tan } ^ { - 1 } s \)

Which of the following statements best describes persuasive writing? A. Writing that presents a narrative about a character's journey. B. Writing that aims to convince the reader to adopt a specific viewpoint or take actic C. Writing that focuses on detailed descriptions of a setting. D. Writing that provides factual information without bias.

\( \lim _ { x \rightarrow 0 ^ { + } } \frac { \sqrt[ 3 ] { x \sin ^ { 2 } ( 2 x ) } ( \sqrt { x } - 1 ) } { e ^ { x } - \cos ( 3 x ) } \)

The second equation is obtained by using the negative expression, \[ \begin{array}{l}-\left(x^{2}+8 x\right)=5 x+40 \\ -\left(x^{2}+8 x\right)=5 x+40 \\ -x^{2}-8 x=5 x+40 \\ \text { Solve this equation for } x, \\ x^{2}+13 x+40=0 \\ x+8=0 \Rightarrow x=-8 \\ (x+8)(x+\square\end{array} \]

Try \( x_{0}=-2 \) for the following differential equation \( y^{\prime \prime}-x y=0 \).