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Let a, b, c 2 Z+.
(a) Prove that if a|b, then ac|bc for all c.
(b) If a|bc, can you conclude that either a|b or a|c? Justify your answer with a proof or a counter example.
(c) Prove that gcd(a, a + b) = gcd(a, b).
arrange these numbers in ascending order. -5 -7 1 2 15 0 - 25
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draw a line OX=10CM and construct an angle xoy = 60. (b)bisect the angle xoy and mark a point A on the bisector so that OA = 7cm
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what is the ratio of sides of a right angle triangle which are in A.P
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All the integrals below are understood in the sense of the Lebesgue. (1) Prove the following equality which we used in class without proof. As-sume that f integrable over [3; 3]
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