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In how many parts an integer N>=5 shoul...

In how many parts an integer `N>=5` should be dissected so that the product of the parts is maximized.

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Suppose a machine produces metal parts that contains some defective parts with probability 0.05. How many parts should be produced in order that the probability of at least one part being defective is 1/2 or more ? ( Given log_(10)95=1.977 and log_(10)2=0.3 )

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