42. Bacteria in Sausage The number of Enterococcus faecium bacteria contaminating bologna sausage at 32 C can be de- scribed by the equation N = No exp { 9.8901 exp[-exp(2.5420 - 0.21671)]},54. Track and Field In 1906 Kennelly developed a simple for- mula for predicting an upper limit on the fastest time that hu- mans could ever run distances from 100 yards to 10 miles. His formula is given by 1 = 0.0588$1.125 where s is the distance in meters and t is the time to run that distance in seconds. Source: Proceedings of the American Academy of Arts and Sciences. a. Find Kennelly's estimate for the fastest mile. (Hint: 1 mile = 1609 meters.) b. Find di/ds when s = 100 and interpret your answer. c. Compare this and other estimates to the current world re- cords. Have these estimates been surpassed?53. Calehtm Usage To test an individual's use of calcium, a re- searcher injects a small amount of radioactive calcium into the person's bloodstream. The calcium remaining in the blood stream is measured each day.r for several days. Suppose the amount of the calcitnn remaining in the bloodstream (in mil- ligrams per cubic centimeter) 1* days after the initial injection is approximated by cm = %(2: + me Find the rate of change of the calcium level with respect to time for the following numbers of days. a. i} b. 4 c. 1.5 d. Is C always increasing or always decreasing?I How can you tell? a. World population was about 3636 million in 1970. How closelyr does the function approximate this value? I). Use the function to approximate world population in Bill). {The actual 2000 population was about 61 15 million.) It. Estimate world population in the year 2015