1. Consider the conquer and divide relation f(n) = 2f(n/5) + 4 with f(1) =2.Considering only arguments for f(n) when n = 5k, for some integer k, provide anа.explicit formula for f(n).b.What is f(3125)?What is the big-O estimate for f(n)?

Theorem: If f is increasing function that satisfies the recurrence relation f(n)=afn/b+c, when n=bk…

Answered: 1. Consider the conquer and divide…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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6. If f(x)=cot(0) +4 is horizontally compressed by a factor of ½ and horizontally shifted left, which of 3 the following could represent g(x), this new function? A. g(x)=cot(20+2)+4 C. g(x)-col(+)-4 B. g(x)=cot+)+4 D. g(x) = cot(+)-4 A B C D E: None of the Above 1
8
2
2 A2. b. Given the two generating functions f(x) and g(x) 1 -find the (1-x)2 (1-x)2 generating function for f(x) + g(x)? (2.5 marks)
1. Determine an expression and the domain for h(x) for the following expressions. [8K] a) f(x) = 3x², g(x)=x-1, h(x)=f(x)+g(x) b) f(x)=2x² + x, g(x)=x²+1, h(x)=(f-g)(x) 4 d) f(x)=x²-x², g(x)=x+1, h(x)=(g/f)(x) c) f(x) = sinx, g(x)=, h(x)-g(f(x))
Solve b
11. Given f(x) = x + 3x-5 and g(x) = 2x +1, find (f+ g)(x). O A. 2x2 + 4x - 5 O B. x + x-6 C. -x - 5x + 4 O D. x2 + 5x - 4
Answer this question correctly after reading it carefully.

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1. Consider the conquer and divide relation f(n) = 2f(n/5) +4 with f(1) = 2. Considering only arguments for f(n) when n = а. 5k, for some integer k, provide an explicit formula for f(n). b. What is f(3125)? What is the big-O estimate for f(n)? с.