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Show that 571 is a prime number. Ans: Let x=571⇒√x=√571 Now 571 lies between the perfect squares of (23)2 and (24)2 Prime numbers less than 24 are 2,3,5,7,11,13,17,1
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Simplify following and write the answers with only positive exponents. (a) ( x 8.2 y -0.26 z 2 ) 0.5 (b) (x 3 y -4.1 / x -2.7 ) -3 Solution (a) (x 8.2
Q. Assume a birthday is equally likely to occur in each of the 365 days. In a group of 30 people, what is the probability that no two have birthdays on the same day? Solution:
Determine if the following series is convergent or divergent by using Radio Test. Solution With this first illustration let's be a little careful and ensure that we h
a) A husband and wife appear in an interview for two vacancies in the same post. The probability of husband's selection is 1/7 and that of wife's selection is 1/5. What is th
Evaluate following limits. Solution Here the first two parts are actually just the basic limits including inverse tangents and can easily be found by verifying the fol
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5 hockey pucks and three hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?
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