For each set of input parameters, plot the forcing function and the particular solution on the same chart, with an appropriate title. The tricky part here is that the scale of the response (particular solution f(t)) can be very different than the forcing function, so one might easily dwarf the other. One way to fix this is to scale the response by some factor of 10. To find the appropriate factor of 10, use this line of code:

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

In this lab, you complete a python program that calculates an employee's annual bonus. input is an employee's first name, last name, salary, and numeric performance rating. if the rating is 1, 2, or 3, the bonus rate used is .25, .15, or .1 respectively. if the rating is 4 or higher, the rate is 0. the employee bonus is calculated by multiplying the bonus rate by the annual salary.

Consider jasper’s balance sheet. which shows how to calculate jasper’s net worth?