8. Gegeben ist die Funktion \( f \) mit \( f(x)=9-x^{2} \). Zerlegen Sie die Fläche, die der Graph von \( f \) mit der \( x \)-Achse einschließt, so durch eine Parallele zur \( x \)-Achse, dass zwei Flächen mit demselben Flächen- inhalt entstehen. Skizzieren Sie den Sachverhalt und geben Sie die Geradengleichung an.

QUESTION 5 5.1 Determine the are length over the interval \( 0 \leq \theta \leq \frac{\pi}{2} \) for the curve with the following parametric equations:- \( \begin{array}{l}x=5 \cos ^{3} \theta \\ y=5 \sin ^{3} \theta\end{array} \)

The judge informed prosecutor Karl that qualified immunity could be attached to his actions. If this is true, what is MOST LIKELY also true? Prosecutor Karl is likely going to jail. Prosecutor Karl was acting as an administrator or investigator. Prosecutor Karl will lose his case. Prosecutor Karl is likely to lose his license to practice law.

Find all solutions of the equation in the interval \( [0,2 \pi) \). \[ \csc x(\sec x+1)=0 \] Write your answer in radians in terms of \( \pi \). If there is more than one solution, separate them with commas. \( x= \) पI

Vlad is an attorney whose official duty is to conduct criminal proceedings on behalf of the state against those accused of having committed criminal offenses. Which of the following would be a title of Vlad's when working in this capacity? Solicitor general U.S. Attorney Defense Attorney District Attorney

Find all solutions of the equation in the interval \( [0,2 \pi) \). \[ (3 \tan x-\sqrt{3})\left(\sec x+\frac{1}{4}\right)=0 \] Write your answer in radians in terms of \( \pi \). If there is more than one solution, separate them with commas.