1. (15 pts List the following functions according to their order of growth from the lowest to the...
List the following functions from highest to lowest order. If any are of the same order, circle them on your list. 2^n lg n n^2 (lg n)^2 n! lg lg n n - n^2 + 5n^3 n squareroot n n n^3 + lg n 2^n - 1 n lg n 6 (3/2)^n
Question 6 !! Thanks Order the following functions according to their order of growth (from the lowest to n!, n lg n, 8 lg (n + 10)^10, 2^3n, 3^2n, n^5 + 10 lg n Prove that a + lg(n^k + c) = Theta (lg n), for every fixed k > 0, a > 0 and c > 0. Determine the complexities of the following recursive functions, where c > 0 is the operations in the functions. (You may assume that...
Need help with 1,2,3 thank you. 1. Order of growth (20 points) Order the following functions according to their order of growth from the lowest to the highest. If you think that two functions are of the same order (Le f(n) E Θ(g(n))), put then in the same group. log(n!), n., log log n, logn, n log(n), n2 V, (1)!, 2", n!, 3", 21 2. Asymptotic Notation (20 points) For each pair of functions in the table below, deternme whether...
1. Take the following list of functions and arrange them in ascending order of growth rate. That is, if function g(n) immediately follows function f(n) in your list, then it should be the case that f(n) is (g(n)). fi(n) = 10”, fz(n) = n3, f3(n) =n", fa(n) = log2 n, f5(n) = 2V1082 n
List the following carboxylic acids in order of output of pKa (1 = lowest pKa ... 4 = highest pKa) Explain the factors that contribute to this reactivity trend.
3-3 Ordering by asymptotic growth rates a. Rank the following functions by order of growth; that is, find an arrangement 81,82, 830 of the functions satisfying gi = Ω(82), g2 Ω(83), , g29 = Ω(g30). Partition your list into equivalence classes such that functions f(n) and g(n) are in the same class if and only if f(n) = Θ(g(n)) Chaptr3 Growth of Functions 1n In Inn lg* g nn-2" n'ln Ig nIn n 2" nlgn 22+1 b. Give an example...
11. Order the following from highest vapor pressure to lowest by ordering the expected strength of the intermolecular forces. Molecule Dominant form of intermolecular force Ranking of vapor pressure (1 = highest, 5 = lowest) CHA CH3OH H20 HO-CH2-CH2-OH H3C-O-CH3
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...
t. Rank these compounds from 1-5 in order of acidity, where 1 lowest pK, and 5 - highest pK (1.5 pts 2. Propose a synthesis of this target molecule using either the malonic ester synthesis or the acetoacetic ester synthesis. Write the reactions in the forward direction Include all organic and inorganic reagents required to complete the transformations (3 pts)
In java 1.order the following from highest order 1 of precedence to lowest 5. assignment = parentheses () addition +, subtraction - multiplication *, division comparison ==,!=,<,<=,>,>=