Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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22 plz answer all parts of the question
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).
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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).
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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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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