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.

step-by-step explanation:

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

a is the right answer

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !