.. Provide Enough details please Ex1c

Be sure to include units. All answers should be EXACT with all work shown. 1. Let T = f (t) be the temperature (in "F) of a turkey t minutes after you put it in the oven. Assume that f is an increasing function. Write a sentence explaining the practical meaning of each of the following mathematical statements. (a) f(130) = 142 (b) f(5) = f(10) - 8 (c) f-'(83) = 50 2. At the start of the experiment, there are 4 million bacteria in a dish. Every hour the number of bacteria increases by 80%. (a) Find a formula for B(t), the number of bacteria (in millions) { hours after the start of the experiment. (b) What is the doubling time of the bacteria population? 3. Let P(p) = 40p - 2p3 + 50 be the weekly profit, in thousands of dollars, resulting from selling a good at a price of $p. (a) What value of p maximizes profit? (b) What is the maximum possible profit? 4. For a particular city in the southern hemisphere, the daily average temperature varies throughout the year. The maximum average temperature of 82" F occurs every year on February 1, and the minimum of 38 F occurs every year on August 1 . (a) Find a possible formula for 7(t), the daily average temperature f months after January 1. (b) Find two values of t in the interval [1, 13] such that T'() = 70" F. 5. Solve the equation 5ex+2 = 20 for a. 6. If tan 0 = -3 and cose > 0, find csco. 7. The graph of f is shown below. List all values of a for which lim f(a) does NOT exist.-2