38. Pregnancy A woman's weight naturally increases during the course of a pregnancy. When she delivers, her weight im- mediately decreases by the approximate weight of the child. Suppose that a 120-lb woman gains 27 1b during pregnancy, delivers a 7-1b 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 immedi ately 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.40. Pharmacology When a person takes a pill, the amount of the drug contained in the pill is immediately inside the body. Com- ment on whether the function that describes the amount of the drug inside the body with respect to time is a continuous function,32. World Population Growth The future size of the world population depends on how soon it reaches replacement-level fertility, the point at which each woman bears on average about 2.1 children. The graph shows projections for reaching that point in different years. Source: Population Reference Bureau. Ultimate World Population Size Under Different Assumptions 12 Replacement-level fertility reached by: 2050 11 2030 10 2010 9 Population (billions) 6 1990 2010 2030 2050 2070 2090 2110 2130 Year a. Estimate the average rate of change in population for each projection from 1990 to 2050. Which projection shows the smallest rate of change in world population? b. Estimate the average rate of change in population from 2090 to 2130 for each projection. Interpret your answer.40. Human Strength According to research done by T. Curetun and Barry Ak at the University of Illinois Sports Fitness School, the distance (in inches) that typical boys of various ages can throw an 8-1b shotput can be estimated by the following graph. Use the graph to estimate and interpret the average rate of increase in shotput distance for boys from 9 to 11 years old. Source: Standards in Pediatric Orthopedics: Tables, Charts, and Graphs Illustrating Growth. 235 215+ 195 Distance (inches) 175+ 155- 135+ 115/ 95 Age 7 8 9 10 11 12 Mean 98 111 130 160 206 23750. Beaked Sea Snake Scientists in Malaysia have collected data revealing that there is a linear relationship between the length (snout to vent) of the beaked sea snake and the length of its catfish prey such that I(x) = 2.41 + 0.12x, where x is the snout-vent length (cm) of the snake and I(x ) is the predicted length (cm) of the catfish. Source: Biotropica. a. Use the function above to estimate the size of catfish that a snake which has a snout-vent length of 70 cm will choose for prey. b. Calculate the derivative of this function and interpret the results