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.

Subtract. \[ \frac{a^{2}}{a+1}-\frac{1}{a+1} \] Simplify your answer as much as possible.

33. Ikkita ishehi birgalikda ishlab 1456 stul yasadi. Agar birinchi ishchi bir kunda 32ta, ikkinchisi esa 24 ta stul yasagan bo'lsa, ularning har biri jami necha stuldan yasagan?

Donald and Winston are prosecutors who have been working toward adopting strategies for improving conviction rates, minimizing dismissals, and speeding up the time to judgment to ensure that offenders are held responsible for their actions. Which of the following are Donald and Winston MOST LIKELY concerned with improving? Diversion Accountability Community prosecution Ethical standards

4. Halla la ecuación de una recta paralela a la recta dada y que pase por el punto que se indica. \( \begin{array}{ll}\text { a. } y=7 x-4 & M(1,2) \\ \text { b. } 3 x+6 y-2=0 & N(3,0) \\ \text { c. } y=-\frac{3}{4} x-16 & P\left(\frac{1}{3}, \frac{2}{5}\right) \\ \text { d. } 4 x+y-2=0 & Q\left(-\frac{1}{3},-\frac{7}{2}\right)\end{array} \)

50 g Calcium carbonate is heated to form calcium oxide and \( \mathrm{CO}_{2}(\mathrm{~g} \) ) Calculate the percentage yield if 21 g fatut Calciam axide. is farmed.