In some occasions, you will have to write an essay in the extremely short amount of time on the exam in college or high school. Also, you may be a little bit of a procrastinator, and find yourself in a situation when the paper is due tomorrow morning, and you have not even chosen the topic yet. Even though a last-minute essay cannot look as great as a work prepared successively and carefully within the whole time given, you still have a chance to submit a decent paper. The working process will require your full attention and a lot of effort, even if you are assigned a simple essay. However, if you learn the next few tips, the essay writing will seem significantly easier and feasible even when you are short on time.

Firstly, clean up your working space to get started. Make sure you have everything you need on the table, take a pen, a few sticky notes, your laptop, and read through the assignment requirements. In case no prompt is given, search for good essay topics, and pick a few uncommon and interesting ones you will be able to write about. Making a final choice, think which topic is the most relevant to your current studies and will not take too much to research.

Afterwards, look for the most trustworthy sources or the ones you are certainly allowed to use. If you are not sure, access the online library or any free services where you can look for the books and articles for your essay. Use sticky notes to write down the information and put them in front of you to see how much data has been gathered and if you need to continue researching. Reread these notes from time to time and cross out the info you do not find relevant anymore.

When you have the data you need to produce a quality work, it is crucial to think about the structure of the future paper. If you are not sure how to write an essay outline properly, check what your essay type is first. Each type is organized differently, so you need to look up the structure every time you are given an essay homework. You can also search for an example of the essay on your topic, and adhere to its outline. No matter what kind of essay you are going to write, it is important to start with a thesis statement. It should declare what problem you will review in the paper, and which facts or arguments you will use to do it professionally. As these arguments will be discussed in the main part of the essay, outline the body paragraphs and put down a few sentences with the rough description of each paragraph. Think of the way you will engage the reader in the introduction, and which thought will be conclusive for the paper. When the direction of the work is clear from the outline, use it to draft the first version of the essay.

If you are not used to model essay writing, do not worry - your draft should not necessarily look like a masterpiece. It is only the depiction of your thoughts, and as you will have them written down, it will be easier to create a good essay. There is no best way to write an essay, so trust the working methods you usually use. You may like taking short breaks once in a few minutes, or write everything in one sit - just make sure to keep the focus on writing and avoid the urge to call a friend or watch something online. Thus, you will finish the paper faster, and will not feel guilty for engaging in other activities afterwards.

Do not forget to go through the essay a few times after the completion. Everyone makes typos and mistakes by accident, but it is about you to find and fix them before your teacher does. If you need help with an essay editing, try asking a friend or a family member to read and analyze your work. Also, you can order editing services in case your paper needs to be perfectly polished so that you can submit an ideal essay and get an excellent grade.

As these steps are simple to follow, you will not have any problems coping with an essay on time. Try the whole procedure at least once, and you will not have to use any other tips preparing an essay paper during your studies!

How do you find the intervals of increase and decrease?

The intervals where a function is increasing (or decreasing) correspond to the intervals where its derivative is positive (or negative). So if we want to find the intervals where a function increases or decreases, we take its derivative an analyze it to find where it’s positive or negative (which is easier to do!).

Is the sequence (- 1 N bounded?

Note that a sequence being bounded is not a sufficient condition for a sequence to converge. For example, the sequence (−1)n is bounded, but the sequence diverges because the sequence oscillates between 1 and −1 and never approaches a finite number.

What is a decreasing and an increasing sequence?

A sequence {an} is called increasing if. an≤an+1 for all n∈N. It is called decreasing if. an≥an+1 for all n∈N. If {an} is increasing or decreasing, then it is called a monotone sequence.

Can a sequence be neither increasing nor decreasing?

Definition A sequence is said to be monotone if it is either increasing or decreasing. Example Each of the above sequences are monotone. However {(−1)nn}n=0, with terms 0, −1, 2, −3, 4, −5,… is not since it is neither increasing nor decreasing.

How do you find decreasing intervals?

To find when a function is decreasing, you must first take the derivative, then set it equal to 0, and then find between which zero values the function is negative. Now test values on all sides of these to find when the function is negative, and therefore decreasing. I will test the values of 0, 2, and 10.

How do you find the interval?

The class interval is the difference between the upper class limit and the lower class limit. For example, the size of the class interval for the first class is 30 – 26 = 4. Similarly, the size of the class interval for the second class is 31 – 35 = 4.

Does the sequence (- 1 n converge?

(−1)n+1 n converges conditionally. 1 n diverges and the alternating harmonic series converges.

Does the sequence 1 n converge or diverge?

1/n is a harmonic series and it is well known that though the nth Term goes to zero as n tends to infinity, the summation of this series doesn’t converge but it goes to infinity.

What is the nth term in a decreasing sequence?

You can use the formula: nth term = a + (n-1)d. a is the first number in the sequence and d is the common difference of the sequence.

Is the sequence n bounded?

The sequence (n) is bounded below but is not bounded above because for each value C there exists a number n such that n>C. Figure 2.4: Sequences bounded above, below and both. Each increasing sequence (an) is bounded below by a1. Each decreasing sequence (an) is bounded above by a1.

What is non-decreasing sequence?

Non-decreasing sequences are a generalization of binary covering arrays, which has made research on non-decreasing sequences important in both math and computer science. The goal of this research is to find properties of these non- decreasing sequences as the variables d, s, and t change.

Whats an increasing interval?

Increasing means places on the graph where the slope is positive. [Figure 1] The formal definition of an increasing interval is: an open interval on the x axis of (a,d) where every b,c∈(a,d) with b