Questions by okey43 - Page 9

Fish enter a lake at a rate modeled by the function E given by E(t) = 20 + 15 sin(t/6). Fish leave the lake at a rate modeled by the function L given by L(t) = 4 + 20.1t2. Both E(t) and L(t) are measured in fish per hour, and t is measured in hours since midnight (t = 0).(a) How many fish enter the lake over the 5-hour period from midnight (t = 0) to 5 A.M. (t = 5)? Give your answer to the nearest whole number.(b) What is the average number of fish that leave the lake per hour over the 5-hour period from midnight (t = 0) to 5 A.M. (t = 5)?(c) At what time t, for 0 t 8, is the greatest number of fish in the lake? Justify your answer.(d) Is the rate of change in the number of fish in the lake increasing or decreasing at 5 A.M. (t = 5)? Explain your reasoning.
2 Answers
Identify the method for choosing appellate court judges that is the best
1 Answer