In 2015 , the U.S. population was 167 million and was growing at a rate of \( 0.5 \% \) each year. Using an exponential growth model, in what year will the population reach 260 million? Round up to the nearest year.

Empic ta aproximacion para C) \( \sqrt{102}+\sqrt[4]{80} \)

Evaluate the expression. \( \log _{\sqrt{13}} 17 \approx \square \) (Type an integer or a decimal. Do not round as needed.)

A carpenter is building a rectangular room with a fixed perimeter of 240 fit. What dimensions would yield the maximum area? Length \( (\mathrm{ft})=\square \) Width \( (\mathrm{ft})=\square \)

9. Para las siguientes funciones paramétricas: \( \begin{array}{l}\text { a) Bosquejar el gráfico. } \\ \text { b) Eliminar el parámetro y hallar la ecuación cartesiana. } \\ \begin{array}{ll}x=1-t^{2} & x=\sqrt{t} \\ y=t-2 & y=1-t \\ -2 \leq t \leq 2 & 0 \leq t \leq 16\end{array}\end{array} \).

Sketch the segment \( r=\sec \theta \) for \( 0 \leq \theta \leq \frac{\pi}{9} \). Then compute its length in two ways: as an integral in pola coordinates and using trigonometry.