Blackyoshi

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Calculus Help Which of the following are true? Every absolute minimum is a local minimum. If f is continuous on a closed interval (ab), then f attains an absolute maximum value f(c) and an absolute minimum value f(d) at some numbers c and d in (ab). If f(c)=0, the f has a local maximum or minimum at c. The function f(x)=x has no critical points on the interval (negative5,5). If f has a local maximum or minimum at c, then c is a critical number of f. If f has an absolute minimum value at c, then f(c)=0.

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Help with Discrete Math homework So I'm supposed to simplify the following statement, but I'm not sure if where I finished off is the final simplified version or if there's a more simplified version of it: not ( p ^ ( q v r ) ^ ( ( p^ q ) -> r ) ) = not ( p ^ ( q v r ) ^ ( p -> r ) Rule of Simplification = not ( ( p ^ q ) v ( p ^ r ) ^ ( p -> r ) ) Distributive laws = not ( p v ( p ^ r ) ^ ( p -> r ) ) Rule of Simplification = (not sure about this step) not p ^ not (p ^ r ) v not ( p -> r ) Multiplied not by everything inside I just started this class so I have no idea if what I'm doing is right or wrong. xD Thanks in advance.

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