From the following pick all those statements that are always true. If Q, is positive and...
6. True or False. If the statement is true, explain why using theorems/tests from class, and if the statement is false provide a counter example. (a) If an and are series with positive terms such that is divergent and an <by for all r, then an is divergent. I (b) If a, and be are series with positive terms such that is convergent and an <br for all 17, then an is convergent. (e) If lim 0+1 = 1 then...
Determine whether each of the following is Always True, Sometimes True, or Always False. If the statement is Always True or Always False, provide a brief justification. If the statement is Sometimes True, provide an example of a series that makes it true and an example of a series that makes it false. In the following, {a_n}∞n=1 is a sequence and {s_n}∞n=1 refers to the corresponding sequence of partial sums. (a) If lim n→∞ s_n = 0, then lim n→∞...
1. A series has the property that lim an = 0. Which of the following is true? (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (a) There is not enough information to determine whether the series converges or diverges. 1 n-00 2 2. A sequence {sn} of partial sums of the series an has the property that lim sn Which of the...
1. A series Can has the property that lim on = 0. Which of the following is true? (a) The series converges and has the sum 0. (b) The series is convergent but its sum is not necessarily 0. (c) The series is divergent. (d) There is not enough information to determine whether the series converges or diverges. 2. A sequence { $m} of partial sums of the series an has the property that lims Which of the following is...
Given the following statements, mark those correct statements as True and mark those incorrect statements as False. n^2 = O (7n^2 + 3 log n +22) True False 2^n = O (n^3 + 3 n^2 + 7 log n + 2) True False 5n + 3 log n + 1 = O (n log n) True False 7n log n + 3n = O (11 n + 5 log n + 7) True False 2n^2 + 3 n log n...
From the Lewis structures of the species given, pick all of those in which the central atom obeys the octet rule. F .FI ci-B-CI: :C: H-Ň -ċi: Se=c=se None of the Above From the Lewis structures of the species given, pick all of those in which the central atom obeys the octet rule. :0–N=0 :CI: ..F. F None of the Above From the Lewis structures of the species given, pick all of those in which the central atom obeys the...
Given the following quantities: Q, W, U, Ek write down which one of the following statements is true: (A) Q always equals W if U = 0 (B) Ek is always zero or positive (C) all of the quantities can have a negative value (D) Q always equals U (E) only two of the quantities can have a negative value
2. Are the following statements true or false and explain why? (a) The median must always be a value in your data set. F but why (b) If given PXi and n, we can find the standard deviation of X. F but why (c) The standard deviation of X must always be positive F but why
For each statement: True or false? Explain? If the terms sn of a convergent sequence are all positive then lim sn is positive. If the sequence sn of positive terms is unbounded, then the sequence has a term greater than a million. If the sequence sn of positive terms is unbounded, then the sequence has an infinite number of terms greater than a million. If a sequence sn is convergent, then the terms sn tend to zero as n increases....
Question 8 2 pts Which of the statements are TRUE? Select all that are true. The AG of a reaction is negative when Q-K Under standard state conditions, Q is always 1. Under standard state conditions, Q = K. At equilibrium, AG-AG. At equilibrium, AG=0. AG is a measure of how far the system is from standard conditions. The sign on AG indicates the direction a system will proceed to reach equilibrium from any initial conditions. None of the statements...