Please help me to solve this Algorithm question
Ans.1. The dominating term is n^3. So the entire expression is always greater than n^3. Hence it is theta(n^3).
Ans.2. The dominating term is n^3. So it is always greater than the cube. Therefore, it is not O(n^2).
Please help me to solve this Algorithm question Show that 3n^3 +/2 - 17 = theta(n^3)...
1. Give an asymptotically tight bound to each of the following expressions: 3n^2 + 2n^3 3n log n + 2n^2 2^n + 3^n 2. Arrange the following asymptotic family from lower order to higher order. The first has been done for you. O(n log n) O(n^3) O(log n) O(n^2 log n) O(n) O(3^n) O(2^n) 3. At work, Peter needs to solve a problem of different sizes. He has two algorithms available to solve the problem. Algorithm A can solve the...
Please help me to solve this : (b) Prove that the function f(n) = 2n3 + 2n7/3 + log2 n + 5 is O(n3). (c) Prove that the function f(n) = (log2 n)2 is O(n). (d) Prove that the function f(n) = 2n+3 is Θ(2n).
please help me solve this:) differential equations 1. solve dN/dt=(N-2)*(N-1), N(0)-5 2. solve dN/dt= N*((N+2)*(N-3), N(0)-2 1. solve dN/dt=(N-2)*(N-1), N(0)-5 2. solve dN/dt= N*((N+2)*(N-3), N(0)-2
Use the definition of 0 to show that 5n^5 +4n^4 + 3n^3 + 2n^2 + n 0(n^5).Use the definition of 0 to show that 2n^2 - n+ 3 0(n^2).Let f,g,h : N 1R*. Use the definition of big-Oh to prove that if/(n) 6 0(g{n)) and g(n) 0(h{n)) then/(n) 0(/i(n)). You should use different letters for the constants (i.e. don't use c to denote the constant for each big-Oh).
Could you please help me to solve the problem. Also, could you please answer questions in clear hand-writing and show me the full process, thank you (Sometimes I get the answer which was difficult to read).Thanks a lot What is the smallest positive value of n, where n is an integer, such that Algorithm A, whose running time is 100n2 runs faster than Algorithm B, whose running time is 2n , on the same machine (give your answer in whole number(s))
1 question) Arrange the following in the order of their growth rates, from least to greatest: (5 pts) n3 n2 nn lg n n! n lg n 2n n 2 question)Show that 3n3 + n2 is big-Oh of n3. You can use either the definition of big-Oh (formal) or the limit approach. Show your work! (5 pts.) 3 question)Show that 6n2 + 20n is big-Oh of n3, but not big-Omega of n3. You can use either the definition of big-Omega...
Please help me solve this question Solve the problem max ('(4хt - X 2) et X(0) = 2 , X(1) = 2/3
please help me using C++ to solve the problem below Use the bisection algorithm to find an approximate solution z to the equation x^(5.3) + (3.5)^x = N where N is your 7-digit phone number, and: (a) z is correct to 2 significant figures. (b) z is correct to 2 decimal places.
Algorithm Question: Problem 3. Solve the recurrence relation T(n) = 2T(n/2) + lg n, T(1) 0.
I need d) only for a 2 parameter exponential defined (1/Theta)e^(-(x-n)/theta)). Consider a random sample of size n from a two-parameter exponential distribution, X, EXPO, n), and let ñ and be the MLES. (a) Show that û and are independent. Hint: Use the results of Exercise 30 of Chapter 10. (b) Let V= 2n(8 – n)/0, V2 = 2rl – n/, and V, = 2n8/0. Show that V1 ~x?(2n), V3 ~x?(2) and V3 X (2n - 2). Hint: V1 =...