(Solved): Calculus Workbook Activity 2. In each of the following, you are given a description of a function f ...

Calculus Workbook Activity 2. In each of the following, you are given a description of a function $f$. Sketch a graph that matches the description, and then indicate whether $f,f^{\prime }$, and $f^{\prime \prime }$ are positive or negative. 35 (a) $P=f(t)$ gives the population of a bacteria colony after $t$ hours. The population increases, and the rate at which the population grows also increases. (b) $H=f(t)$ gives the temperature in Fargo, North Dakota after $t$ hours on a particular day. The temperature is below zero the whole day, and although it steadily warms up during the day, the rate of warming decreases with time.