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1) Let A and B be two programs that perform the same task. Let tA (n) and tB (n), respectively, denote their run times. For
1) Let A and B be two programs that perform the same task. Let tA (n) and tB (n), respectively, denote their run times. For each of the following pairs, find the range of n values for which program A is faster than program B. Show the values for each and how you obtained them (justify).
a) tA (n) =1000n , tB (n) =10n^2
b) tA (n) = 2n^2 , tB (n) = n ^3
c) tA (n) = 2^n , tB (n) =100n
d) tA (n) =1000n logn , tB (n) = n^2
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