Question

In: Computer Science

Find the order of growth for the following function ((n^3) − (60n^2) − 5)(nlog(n) + 3^n...

Find the order of growth for the following function

((n^3) − (60n^2) − 5)(nlog(n) + 3^n )

Solutions

Expert Solution

I have completed this problem Please give thumbs up if you like it

Step 1

Let us first discuss about Big oh notation

Syep 2 Comapre all different type of order of functions

Syep 3


Related Solutions

Find the smallest n ∈ N such that 2(n + 5)^2 < n^3 and call it...
Find the smallest n ∈ N such that 2(n + 5)^2 < n^3 and call it n^0,Show that 2(n + 5)^2 < n^3 for all n ≥ n^0.
Define the following function f(n) = 5(2^n)-(2^(n-1)), n ≥ 1. Write a recursive definition for the...
Define the following function f(n) = 5(2^n)-(2^(n-1)), n ≥ 1. Write a recursive definition for the function f(n)? Consider the following recurrence: an= 2an-1 + 3 (where a1 = 1). Compute the values of an for n ≤ 5. Find a solution for the recurrence definition and validate its correctness. Consider the following recurrence: an=2an-1 +an-1an-2 (where a1 = 1). Compute the values of an for n ≤ 5.
a) If the production function is: ? = 2 ∗ ? .5? .6 find the function...
a) If the production function is: ? = 2 ∗ ? .5? .6 find the function for the marginal product of labor and the function for the marginal product of capital. b) Use the marginal products that you just found and the wage of $100,000 and the rental rate of $1,000,00 to determine if the last dollar rule is satisfied when there are 50 engineers (L) and 2 prototyping facilities (K). If it is not satisfied, should the firm use...
Consider the following function ?(?) = ?^ 4+ 2? ^3 + 8?^ 2+ 5? With the...
Consider the following function ?(?) = ?^ 4+ 2? ^3 + 8?^ 2+ 5? With the initial guesses of ?1 = −2, ?2 = −1, and ?3 = 1, find the minimum of the given function using parabolic interpolation. Perform five iterations, reporting Ɛa based on the location of the minimum (i.e. xopt) and not the actual minimum value. (Round the final answer to four decimal places.)
5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of...
5. Consider the function f(x) = -x^3 + 2x^2 + 2. (a) Find the domain of the function and all its x and y intercepts. (b) Is the function even or odd or neither? (c) Find the critical points, all local extreme values of f, and the intervals on which f is increasing or decreasing. (d) Find the intervals where f is concave up or concave down and all inflection points. (e) Use the information you have found to sketch...
(a) Find the limit of {(1/(n^(3/2)))-(3/n)+2} and use an epsilon, N argument to show that this...
(a) Find the limit of {(1/(n^(3/2)))-(3/n)+2} and use an epsilon, N argument to show that this is indeed the correct limit. (b) Use an epsilon, N argument to show that {1/(n^(1/2))} converges to 0. (c) Let k be a positive integer. Use an epsilon, N argument to show that {a/(n^(1/k))} converges to 0. (d) Show that if {Xn} converges to x, then the sequence {Xn^3} converges to x^3. This has to be an epsilon, N argument [Hint: Use the difference...
2) X and Y have the following joint probability density function: n=4, X=2, Y=1, Z=3 Find:...
2) X and Y have the following joint probability density function: n=4, X=2, Y=1, Z=3 Find: a)Marginal distribution of X and Y. b)Mean of X and Y. c)E(XY). d)Covariance of X and Y and comment on it. e)Correlation coefficient between X and Y. And comment. 2) X and Y have the following joint probability density function: {((5y^3)/(96x^2)) 2<x<5, 0<y<4             0      Elsewhere} Find: a) Marginal distribution of X and Y b) Mean of X and Y c) E(XY) d)...
5. Find the generating function for the number of ways to create a bunch of n...
5. Find the generating function for the number of ways to create a bunch of n balloons selected from white, gold, and blue balloons so that the bunch contains at least one white balloon, at least one gold balloon, and at most two blue balloons. How many ways are there to create a bunch of 10 balloons subject to these requirements?
5. Find a matrix A of rank 2 whose nullspace N(A) has dimension 3 and whose...
5. Find a matrix A of rank 2 whose nullspace N(A) has dimension 3 and whose transposed nullspace N(AT) has dimension 2.
For the function ?(?) = 2? 3 + 9? 2 − 108? + 30 find the...
For the function ?(?) = 2? 3 + 9? 2 − 108? + 30 find the following (round to the nearest thousandth if needed): a. Interval(s) where the function is increasing b. Interval(s) where the function is decreasing c. Relative maximum and minimum points (x and y values) d. Inflection point(s) (x and y values) e. Interval(s) where the function is concave up f. Interval(s) where the function is concave down
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT