2. Tyler filled up his bathtub, took a bath, and then drained the tub. The function \( B \) gives the depth of the water, in inches, \( t \) minutes after Tyler began to fill the bathtub. Explain the meaning of each statement in this situation. a. \( B(0)=0 \) b. \( B(1)<B(7) \) c. \( B(9)=11 \) d. \( B(10)=B(22) \) e. \( B(20)>B(40) \)

The logistic growth function \( f(t)=\frac{111,000}{1+5400 e^{-t}} \) describes the number of people, \( f(t) \), who have become ill with influenza \( t \) weaks wfter its inital outbreak in a puticular community. a) How may people became ill with the flu when the epidemic began? b) How many people were ill by the end of the fourth week? c) what is the limiting size of the population that become ill?

Given \( f(x)=\frac{-2}{x}-2 \), Answer the following questions: .1 Write down the equations of the asymptotes of \( f(x) \). 2 Draw a neat sketch graph of \( f(x) \), clearly indicate the asymptotes and the intercepts with the axes. .3 Write down the domain and range of \( f(x) \).

QUESTION 4 Given: \( f(x)=2\left(x^{2}-1\right) \) Sketch function \( f \) on the diagram sheet. Clearly show all intercepts with the axes.

Given: \( f(x)=2\left(x^{2}-1\right) \) Sketch function \( f \) on the diagram sheet. Clearly show all intercepts with the axes.

2. (2.5 pts) Demuestra que para todo número natural \( n \), \[ 1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\ldots+\frac{1}{\sqrt{n+1}} \geq \sqrt{n+1} \] ¿A partir de qué número \( n \) se empieza a cumplir la desigualdad estricta \( > \), sin el igual?