Assignment4: Problem 3 (1 point) There are currently 27 frogs in a (large) pond. The frog population grows exponentially, tripling every 8 days. What is the relative growth rate constant k for the frog population? Relative growth rate k | 0.1373 d;ys How long will it take (in days) for there to be 200 frogs in the pond? Time to 200 frogs = days The pond's ecosystem can support 1100 frogs. How long until the situation becomes critical? Time to 1100 frogs = days Assignment4: Problem 4 (1 point) The population of a region is growing exponentially. There were 25 million people in 1980 (when = 0) and 60 million people in 1990. Find an exponential model for the population (in millions of people) at any time , in years after 1980. (Note: if you use decimal approximations for the numerical constants in your work, be sure to retain enough significant figures through your work to ensure that subsequent answers are correct.) P(t)= million people What population was predicted for the year 2000? Predicted population in the year 2000 = 144.07775 | million people How long does it take for the population to double (the doubling time)? Doubling time = 7.9288 |years Assignment4: Problem 7 (1 point) For each of the following, find an angle 8 satisfying the given equation. (Round your answers to the nearest 0.001.) (a) If 0