16 U D 1) f = O(n^3) Question 23 f(n): = 2-3h Question 24 f(n)= 7(log log n) + 3(log n) + 12n Question 25 9(n log n) + 5(log log n) + 5 Question 26 A Silicon Valley billionaire purchases 3 new cars for his collection at the end of every month. Let an denote the number of cars he has after n months. Let ao = 23. What is ag?
16 U D 1) f = O(n^3) Question 23 f(n): = 2-3h Question 24 f(n)= 7(log log n) + 3(log n) + 12n Question 25 9(n log n) + 5(log log n) + 5 Question 26 A Silicon Valley billionaire purchases 3 new cars for his collection at the end of every month. Let an denote the number of cars he has after n months. Let ao = 23. What is ag?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
22 plz answer all parts of the question
Transcribed Image Text:Use the following tables to answer five questions. Use the exact spelling given in the tables for
example
Exponential, Quadratic etc.
Table 9.2.1: Common functions in algorithmic
complexity.
Function
Name
(1)
(log log n)
e(log n)
e(n)
e(n log n)
e(n²)
0(³)
(c), c> 1 Exponential
e(n!)
Factorial
Constant
Log log
Logarithmic
Linear
n log n
Quadratic
Cubic
PULLLI-1.
Figure 9.2.2: Rules for the asymptotic growth of
functions.
Let f, g, and h be functions from Z to R¹:
• If f = 0(h) and g = O(h), then f+g = 0(h).
If f = Q(h) or g = Q(h), then f+g = Q(h).
• If f = O(g) and c is a positive real number, then c-f = 0(g).
• If f = Q(g) and c is a positive real number, then c-f = Q(g) .
• If f = O(g) and g = 0(h), then f = 0(h).
• If f = Q(g) and g = Q(h), then f = Q(h).
Transcribed Image Text:16
D
1) f = O(n^3)
Question 23
f(n) = 2.3
Question 24
f(n) = 7(log log n) + 3(log n) + 12n
Question 25
9(n log n) + 5(log log n) + 5
Question 26
A Silicon Valley billionaire purchases 3 new cars for his collection at the end of every month. Let
an denote the number of cars he has after n months. Let ao = 23.
What is ag?
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