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15., Find a useful denial (i.e., a statement logically equivalent to the negation) of each statement, and express it in mathematically precise, natural English Express all conditional statements in the forrn if then . Do not add implied quantifiers. (Here, a, b, c, n are fixed integers, f is a fixed function, and ro. L are fixed real numbers.) (a) n is not a multiple of 4 if n is even (b) If f has a relative maximum at ro and f is differentiable at ro, then f(zo) = 0. (c) For every integer m, m2 is odd and m -1 is divisible by 4. (d) For all integers J and k, if n = jk, then j = 1 or k = 1. (e) If n is a perfect square, then there exists an integer k such that n = 3k or n=3ん+1 (f) be is divisible by a only if b is divisible by a or e is divisible by a

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