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[ 1 0 points ) Assume that each of the expressions below gives the processing time T ( n ) spent by an algorithm for

[10 points) Assume that each of the expressions below gives the processing time T(n) spent by an
algorithm for solving a problem of size n.
Express the asymptotic time complexity for each algorithm in terms of "big-0" notation. You
should use master method for handling recurrence relations (show your work)
For each pairs of algorithms, indicate whether the first algorithm has a lower, same, or higher
order of growth than the second algorithm. ustify your answer.
T(n)=10T(n10)+n2
and
T(n)=100T(n10)+n2
T(n)=5T(n2)+n
and
T(n)=9T(n3)+n2
T(n)=100n+4
and
T(n)=log22(3n+2)
T(n)=22n-2
and
T(n)=22n+1
T(n)=n4log(n)
and
T(n)=210+n4log(n3)-100n4
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