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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).
Determine the slope following lines. Sketch the graph of line. The line which contains the two points (-2, -3) and (3, 1) . Solution we'll need to do is employ
express each logariths in terms of log3 P and log3 Q. 1. log3 P^2 Q^3
If the following terms form a AP. Find the common difference & write the next 3 terms3, 3+ √2, 3+2√2, 3+3√2.......... Ans: d= √2 next three terms 3 + 4 √ 2 , 3 + 5√ 2 ,
My thousandths digit is twice the tenths digit. My tenths digit is one less than the hundredths digit. If my number is 5, what my number?
How the property AM>or = GM used to get minimum value of the function......e,g for what condition of a and b does minimum value of a tan^2 x + b cot^2 x equals maximum value of a
reduction
v=u+at s=ut+1/2at^2
examples
Vectors This is a quite short section. We will be taking a concise look at vectors and a few of their properties. We will require some of this material in the other section a
how to use a micrometer
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