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Suppose f(x) = ln(2 + cos x) on the interval (0, 2pi).
a) Calculate f' (x) and f" (x).
b) Find the interval(s) on which the function f is increasing.
c) Find all extreme values of f and the values of x at which they occur.
d) Find the interval(s) on which the function f is concave up?
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For a student club fund-raiser, the number of $2.00 raffle tickets printed was three times the number of $5.00 raffle tickets. If all of the tickets are sold, receipts from the $5.00 tickets will be $50.00 less than those from the $2.00 tickets.
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What is the probability of rolling a total of 7 in two rolls of a standard dice if you get an even number on the first roll?
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