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Determine that in a Boolean algebra, for any a and b, (a Λ b) V (a Λ b' ) = a.
Ans: This can be proved either by using the distributive property of join over meet (or of meet over join) or utilizing a truth table for the expression. Let us make use of the truth table.
From the truth table, it is obvious which entries for the expression and that for 'a' are similar and therefore the result.
L'Hospital's Rule Assume that we have one of the given cases, where a is any real number, infinity or negative infinity. In these cases we have, Therefore, L'H
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Find the common difference of an AP whose first term is 100 and sum of whose first 6 terms is 5 times the sum of next 6 terms. Ans: a = 100 APQ a 1 + a 2 + ....... a 6
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Determine if the three vectors a → = (1, 4, -7), b → = (2, -1, 4) and c → = (0, -9, 18) lie in similar plane or not. Solution Thus, as we noted prior to this example al
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