1. Ify= f(x) is a continuous curve and can be madex = f(y) then, A. its arc length can always be determined in both expressionsusing the same limits of integration. B. its default area is the region under it. C. its volume is determined by rotating it to any axis of revolution. D. its definite integral is positive in both expressions.
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.
Choose the letter(s) of the correct answer. Choose E if none of the choices corresponds to the correct answer.
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