Consider the recurrenceT(n).T(n)={cifn=04T(⌊n4⌋) +12nifn>0a) State and prove by induction a theorem showingT(n)∈O(nlog2n).
b) State and prove by induction a theorem showingT(n)∈Ω(nlog2n).GradingYou will be docked points for functions in the wrong order and for disorganization, unclarity, or incomplete proofs.

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or  

a) 0

step-by-step explanation:

i^413 x i^0 = 0 as any number multiplied by a zero is

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answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.