How can the answer of Q13 and 10 be D and C respectively

#1

Acc. to masters theroerm answer for q13 is D and Q10 is A

#2

Hello @Deepanshu_garg,

Ques 10:
Observe the following graphs:
image
Once, both the curves intersect they never meet again.
As you can see, the value of O{n^3} >= O(2^n), for n>=10

Ques 13:
You can use master’s theorem:
T(n) = aT(n/b) + f(n) where a >= 1 and b > 1
There are following three cases:

  1. If f(n) = Θ(n^c) where c < Logb(a) then T(n) = Θ(nLogba)

  2. If f(n) = Θ(n^c) where c = Logb(a) then T(n) = Θ((n^c)*(Log n))

  3. If f(n) = Θ(n^c) where c > Logb(a) then T(n) = Θ(f(n))

using case 2:
Aswer is Θ(nlogn)

Hope, this would help.
Give a like, if you are satisfied.

#3

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