Related questions with answers

When the price of an essential commodity (such as healthcare) decreases rapidly, consumption increases slowly at first. If the price continues to drop, However, a "tipping" point may be reached, at which consumption takes a sudden substantial increase. Suppose that the accompanying graph shows the consumption of a certain antibiotic, $C(t)$ , in millions of units. We assume that the price is decreasing rapidly. Here $t$ is the time in months after the price began decreasing. Use the graph to find the following.
a. $\lim _{t \rightarrow 12} C(t)$ ]
b. $\lim _{t \rightarrow 16} C(t)$
c. $C(16)$
d. the tipping point (in months)

How do combined hormone contraceptives, including oral contraceptives, and injectable contraceptives prevent pregnancy?

A woman’s weight naturally increases during the course of a pregnancy. When she delivers, her weight immediately decreases by the approximate weight of the child. Suppose that a $120$ -lb woman gains $27$ lb during pregnancy, delivers a 7-lb baby, and then, through diet and exercise, loses the remaining weight during the next $20$ weeks. a. Graph the weight gain and loss during the pregnancy and the $20$ weeks following the birth of the baby. Assume that the pregnancy lasts $40$ weeks, that delivery occurs immediately after this time interval, and that the weight gain/loss before and after birth is linear. b. Is this a continuous function? If not, then find the value(s) of $t$ where the function is discontinuous.