A function f (x, y) has critical points at (0,0) and (1,0). The second derivatives o f (x, y) are listed below to help you classify each critical point as a local maximum, a local minimum, or a saddle point, or state that the test is inconclusive. fxx = 2y² – 2; fyy = 2x? – 2; fry = 4xy The point (0, 0) is The point (1,0) is a local minimum a local maximum a saddle point unknown since the second derivative test is inconclusive - v2 + 2r The
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.
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