If y = f(x) is a continuous curve and can be made x = f(y) then, A. its arc length can always be determined in both expressions using the same limi 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. The solid formed by moving a cross sectional area perpendicular to x-axis A. will always have its base parallel to x-axis B. will always have its base parallel to y-axis C. will produce an incremental change along x-axis
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.
Hello. Please help me pick the correct letter/s (It could be more than 1) of the correct answer/s. If none of the above, pick E. And if possible, can you please explain why? Thank you.
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