An initial population of 50 sh is introduced into a lake. This sh population grows according to a continuous exponential growth model. There are 85 fish in the lake after 11 years. (a) Let r be the time (in years) since the initial population is introduced, Q DInEI and lety be the number of fish at time 3. '3 write a formula relatingy to t. X t} I) Use exact expressions to ll in the missing parts of the formula. ' Do not use approximations. (b) How manyr fish are there 18 years after the initial population is introduced? Do not round anyr intermediate computations, and round your answer to the nearest whole number. sh The area covered by a certain population of bacteria increases according to a continuous exponential growth model. Suppose that a sample culture has an initial area of 4.3 mm2 and an observed doubling time of 22 hours. (a) Let r be the time (in hours) passed, and lety be the area of the sample at time t. write a formula relatingy to I. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. (b) what will the area of the sample be in 9 hours? Do not round anyr intermediate computations, and round your answer to the nearest tenth. Graph the exponential function. g (x) =2e*+2-2 Plot two points on the graph of the function, and also draw the asymptote. Then click on the graph-a-function button. ... .. . . . .. .. .. ... ... . . !.. . .!. .. !.. . .. . . .; . . . . . ..!. . ... !.. .. .. . . . . . . . !. .. . ." . . . . . . . .> . . .. . .!. . .. . . . . . . . .. . . . . !. . . .. . . . . .i .. :.i .. . . . . .. . . . .. 6- . . . .. . . . . . . . . .. . ..i . . !. . ..... .. .. :.... . . . . . .i .. . . . . . . .. . . . . ! .. . i . . ..:.. .... . . .. X . . ! . . . .. . ..... 2 . .. ..5.. .. .. . . .. . .. 2- . . . . . . . .. ... .. .. .. . . ... .. .... . . ... . ... . . .. . . . .. . . .. . . . . . .i . . -6 ... .. .. -10 . . bond. . .. . . .. . . . . . . ! . . . . . ! . . . . . ! . . . . . . . . . . . . . by 4 . <. . .. ... ..1.. ..5.. .i .... i : ..... ........ :. .3>