At a price of x dollars, the demand, in thousands of units, for a certain music player is given by the demand function q= 290e 0.005x a) How many music players will be bought at a price of $240? b) Graph the demand function for 0sxS 400. c) Find the marginal demand, q'(x). d) Interpret the meaning of the derivative. a) Approximately music players will be bought. (Simplify your answer. Round to the nearest thousand as needed.) b) Choose the correct graph below. OA. B. Oc. OD. Q Ac 400- 400- 4004 400- 0-+ 400 400 400 400 c) q'(x) =D d) Choose the correct answer below. O A. The rate of change in q(x) is q (x) thousand music players per dollar increase in x. O B. The value of q(x) remains constant at q (x) for any value of x. O C. The value of q(x) changes by a (x) for any size change in x. O D. The rate of change in q(x) is x thousand music players per dollar increase in q'(x). Click to select your answer(s).

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.