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Mathematics: Piecewise Expression and Algebra Proof
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1.
a) find the piecewise form of te expression (a+b+|a-b|)/2
b)Using the definition of max(a, b) given in (2a), show that |a|= max(a,-a)
c)Can yo find (or guess) a similar expression for "min(a, b)"
2.
Suppose that p= b power of x, q= b power of y, and b squared= (p power of y times q power of x) power of z, where b,p,q,x,y,z are natural numbers and b is not 1. Show that xyz= 1
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