1000 tickets were sold. Adult tickets cost \( \$ 8.50 \), children's cost \( \$ 4.50 \), and a total of \( \$ 7300 \) was collected. How many tickets of each kind were sold?

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

Write a polynomial \( f(x) \) that satisfies the given conditions. Polynomial of lowest degree with zeros of \( \frac{3}{5} \) (multiplicity 2\( ) \) and \( -\frac{2}{5}( \) multiplicity 1\( ) \) and with \( f(0)=-18 \) \( f(x)= \)

WORKSHEET: ADolications of Integration For a manufacturer, the marginal cost (in dollars) per unit, \( C^{\prime}(x) \), when producing units is given by \( C^{\prime}(x)=3 x^{2}-60 x+400 \). (a) Given that the total cost of producing the first 2 units is \( \$ 900 \), use integration (b) Herme calculate the total cost of producing the first 5 units.

La derivada de la función \[ \begin{array}{l}f(x)=2 x^{4}+x^{3}-x^{2}+4 \\ \text { a. } f^{\prime}(x)=20 x^{3}+15 x^{2}+34 x-3 \\ f^{\prime}(x)=8 x^{3}+3 x^{2}-2 x \\ f^{\prime}(x)=-2\end{array} \] \( \begin{array}{l}\text { b. }\end{array} \)

Ursula is a prosecutor who is deliberating on whether or not there is enough evidence to file charges against a man who was arrested two days ago for possession of an illegal substance with intentions to distribute. Which of the following will Ursula use when deciding whether to prosecute? Absolute immunity Precharge diversion Deferred prosecution diversion Prosecutorial discretion