When r >>a, use a Taylor series expansion to show that the electric potential can be approximated by the expression V(r, θ)= Kp. r/r^2 where p is the electric dipole moment and r is the radial unit vector in polar coordinates.

Geneva’s manager would like to see some additional information to make sales decisions. enter a formula in cell j4 using the if function to it whether or not the item beaded earrings should go on sale. it will go on sale if its current sales rank (in cell g4) is 8th or lower. (hint: if the cell value is greater than or equal to 8, it will go on sale.)if this condition is true, the item will go on sale. (hint: the if_true value should be “yes”.)if this condition is false, the item doesn’t need to go on sale. (hint: the if_false value should be “-”.)copy the formula created in cell j4 to the range j5: j14

Some of your friends have gotten into the burgeoning field of time-series data mining, in which one looks for patterns in sequences of events that occur over time. purchases at stock exchanges--what’s being bought-- are one source of data with a natural ordering in time. given a long sequence s of such events, your friends want an efficient way to detect certain "patterns" in them--for example, they may want to know if the four events buy yahoo, buy ebay, buy yahoo, buy oracle occur in this sequence s, in order but not necessarily consecutively. they begin with a collection of possible events (e. g., the possible’ transactions) and a sequence s of n of these events. a given event may occur multiple times in s (e. g., yahoo stock may be bought many times in a single sequence s). we will say that a sequence s’ is a subsequence of s if there is a way to delete certain of the events from s so that the remaining events, in order, are equal to the sequence s’. so, for example, the sequence of four events above is a subsequence of the sequence buy amazon, buy yahoo, buy ebay, buy yahoo, buy yahoo, buy oracle their goal is to be able to dream up short sequences and quickly detect whether they are subsequences of s. so this is the problem they pose to you: give an algorithm that takes two sequences of even~s--s’ of length m and s of length n, each possibly containing an event more than once--and decides in time o(m n) whether s’ is a subsequence of s

It is vital to research each of the services you plan to disable before implementing any change, especially on critical machines such as the: a. servers in the test environment. b. domain controller and other infrastructure servers. c. desktops that have previously been attacked. d. desktops used by upper-level management.