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1. For a function f : Z → Z, let R be the relation on Z given by xRy iff f(x) = f(y). (a) Prove that R is an equivalence relation on Z. (b) If for every x ? Z, the equivalenc
Prove that the Poset has a unique least element Prove that if (A, ) has a least element, then (A,≤) has a unique least element. Ans: Let (A, ≤) be a poset. Suppose the po
HOW CAN WE TAKE SUPPOSE THE VALUES OF X AND Y
what is the first step
Graph for the Sequence First we wish to think about the term graphing a sequence. To graph the sequence {a n } we plot the points {n, a n } as n ranges over every possible valu
what are the formulas in finding the perimeter of a plane figure?
Characteristics of Time Series Time series has the given characteristics. a) A long term trend (T) -tendency of the whole series to fall and rise. b) Seasonal variati
Write a proff given angle MJL congruent with angle KJL
Kevin invested $4,000 in an account which earns 6% interest per year and $x in a different account that earns 8% interest per year. How much is invested at 8% if the total amount o
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