34. Which limit uses the limit process to correctly find the area of the region between the graph of the function y = 16 -x2 and the x-axis over the interval [1, 4]? a. lim _ (16 1+ 3i b. lim (16 - ( 1 + #)"). 1 =1 2 C. lim 16 1-+00 1=1 d. lim [ ( 16 - (1 + 4) ) ?. SIA 1=1dp 37. The rate of growth at of a population of bacteria is proportional to the square root of t where P is the population size and t is the time in days (0 + x2+4 3 48. Find the area of the region bounded by the graphs of the equations = x In x, x = 2, x =4, and Y = 0. Round to four decimal places.a. 2.0794 b. 2.5124 C. 3.4657 d. 1.3464 49. Suppose a population of bacteria is changing at a rate of at = 1 + 0.5t, where t dp 4,000 is the time in days. The initial population (when t = 0) is 1,500. Identify an equation that gives the population at any time t and use it to find the population when t = 5 days. Round your answer to the nearest integer. a. 13,533 b. 12,783 C. 11,522 d. 10,772