Guide Question: After the exercise routine, answer the following question. 1. Categorized aerobic, muscle strengthening, and bone strengthening activities from the sets of exercises you performed.

Ejercicios 1. Realiza la gráfica de la función tangente, cotangente, secante y cosecante en el intervalo \( [3 \pi,-3 \pi] \). Realiza la gráfica la función \( y=\tan (2 x) \). ¿Cuál es el periodo de esta función? 3. Indica sı cada afirmación es verdadera \( (\mathrm{V}) \) o falsa (F). LI petiodo de la función \( y=\cot (2 x-2 \pi) \) es \( \frac{\pi}{2} \). Il destase de la función \( y=\cot (2 x-2 \pi) \) es \( \pi \) unidades a la derecha. 4. Escribe la ecuación de la forma \( y=A \sec (\omega x-\emptyset)+B \), que cumpla con las siguientes condiciones: 4eriodo \( \pi \) y desfase: \( \frac{\pi}{2} \).

\( = \frac { - ( 3 ) \pm \sqrt { ( 3 ) ^ { 2 } - 4 ( 2 ) ( 1 ) } } { 2 ( 2 ) } \)

\( \alpha+\beta=180^{\circ} \) Sustituyendo los valores de \( \alpha \) y \( \beta \) : \( \left(2 x-18^{\circ}\right)+\left(5 x-5^{\circ}\right)=180^{\circ} \) Simplificando la ecuación: \( 7 x-23^{\circ}=180^{\circ} \)

(1 point) Monday's lecture went over a logistic equation: \( f(t)=\frac{1000}{1+999 e^{-0.603 t}} \) which models how many people \( f \) have had the flu \( t \) days after an initial infection in a community of 1000 people. According to the model, how many people will have had the flu after 10 days? 294 According to the model, how many people will have had the flu after 20 days? According to the model, how many days until 500 people have had the flu? 11.45 According to the model, how many days until 700 people have had the flu? According to the model, how many days until 2000 people have had the flu? never Hint: One of your answers should be "never"

3 1 point At a sand gravel plant, sand is falling off a conveyor belt and onto a conical pile at the rate of 10 cubic feet per minute. The diameter of the base of the cone is three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high? \( 6 /(4057) \mathrm{ft} / \mathrm{min} \) \( 8 /(405) \mathrm{ft} / \mathrm{min} \) \( 8 /(405 \Pi) \mathrm{ft} / \mathrm{min} \) None of these.