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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).
how much is 6x12
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1) Find the maxima and minima of f(x,y,z) = 2x + y -3z subject to the constraint 2x^2+y^2+2z^2=1 2) Compute the work done by the force ?eld F(x,y,z) = x^2I + y j +y k in moving
Find the 14th term in the arithmetic sequence. 60, 68, 76, 84, 92
Find interval for which the function f(x)=xe x(1-x) is increasing or decreasing function
defination of uper boundarie .
Compute the value of the following limit. Solution: Notice as well that I did say estimate the value of the limit. Again, we will not directly compute limits in this sec
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RANDOM VARIABLE A variable which assumes different numerical values as a result of random experiments or random occurrences is known as a random variable. The rainfal
what is 5 squared 2
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