Please help me answer all the following questions

Question 1:

(1 point) Use the given graph of the function on the interval [0, 8] to answer the following questions. 1. For what values ofx does the function f have a local maximum on (0, 8)? Answer (separate by commas): x = 2 2. For what values ofx does the function f have a local minimum on (0, 8)? Answer (separate by commas): x = 5 3. Find the absolute maximum for the function f on the interval [0, 8]. Answer: 2 4. Find the absolute minimum for the function f on the interval [0, 8]. Answer: (1 point) A 7-year projection of population trends suggests that tyears from now, the population of a certain comm P(t) = :3 + 12::2 + 37: + 70 thousand people. (a) At what time during the 7-year period will the population be growing most rapidly? (b) At what time during the 7-year period will the population be growing least rapidly? (c) At what time during the 7-year period will the rate of population growth be growing most rapidly? (1 point) At time t, in hours, a lake is covered with ice of thickness y cm, where y = 0.6:\". 1. How fast is the ice forming when t = 1? When I = 2? Give Hnits. when t = 1: when t = 2: 2. If ice forms for 0 5 t 5 3, at what time in this interval is the ice thickest? At what time is the ice forming fastest? (Giv: here, too.) Ice is thickest at t = Ice is forming fastest at t =