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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).
steps to trace the cartesian curve
2.5 in\ \/
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Evaluate: 30 - 12÷3×2 =
if A be the area of a right triangle and b be one of the sides containing the right angle, prove that the length of the altitude on the hypotenuse is 2Ab/rootb^4+4A^2
A man can do a piece of work in 25 days how many people are required to complete same work in 15 days?
(-85) from (-21) and explain me
Maximize P=3x+2y Subject to x+y =6 x =3 x =0,y =0
1/2+8/9
Ut=Uxx+A exp(-bx) u(x,0)=A/b^2(1-exp(-bx)) u(0,t)=0 u(1,t)=-A/b^2 exp(-b)
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