Discrete Mathematics Pre Calculus questions

Discrete Mathematics Pre Calculus questions

hello

could you please answer the questions with show works .

Textbook: Rosen, Kenneth, Discrete Mathematics and Its Applications (8th Ed.), McGraw-Hill, 2012. Student Companion Website: http://www.mhhe.com/rosen

HOMEWORK GUIDELINES

1- Attach your pages with a paper clip or staple. Do not fold, tear, spit on, or otherwise ìdog-earî the pages. It is better that the pages be handed in loose (withyour name on each sheet) than that the corners be folded or shredded.

2- Clearly indicate the number of the exercise you are doing. If you accidentally do problems out of order, or part of a problem is separated from the rest of a problem, include a note, referring the grader to the missed problem or missing work.

3- Write out the problem that you are working on (except in the case of word problems, which are too long to write out).

4- Do your work in pencil, with mistakes cleanly erased, not crossed or scratched out.If you work in ink, use ìwhite-outî to correct mistakes. Write legibly (suitably large and suitably dark); if the grader canít read your answer, itís wrong.

5- Write neatly across the page, with each succeeding problem below the preceding one, not off to the right. Do not work in multiple columns down the page (like a newspaper); your page should contain only one column.

6-Keep work within the margins. If you run out of room at the end of a problem, please continue onto the next page; do not try to squeeze lines together at the bottom of the sheet. Do not lap work over into the margins on the left or right; do not wrap work around the notebook holes. The margins are ìFor Office Use Onlyî.

7- Do not squeeze the problems together, with one problem running into the next. Use sufficient space for each problem, with at least one blank line between one problem and the next.

8- Do ìscratch work,î but do it on scratch paper; hand in only the ìfinal draft.î Show yoursteps, but work that is scribbled in the margins belongs on scratch paper, not on your homework.

9- For graphs and tables, use a ruler to draw the straight lines, and label the points of interest, including columns, axes, and scale, as appropriate. Use an appropriate consistent scale on the axes, and do a T-chart, unless otherwise instructed. Also,make your tables and graphs large enough to be clear.

10- Show your work. This does not mean just copying the problem from the book and the answer from the back. Show all the steps that go between the question and the answer. Show how you derived the answer. For your work to be complete, you need to explain your reasoning and make your computations clear. That means using English sentences if the mathematical sentences are not otherwise clear.

11- Use standard notation and language. Do not invent your own notation or abbreviations, and expect the grader to figure out your meaning. Spell out words. For example, do not use ì#î in your sentence, if what you mean is the word ìpoundsîor ìnumbersî.

12- Do not use the ìequalsî sign (ì=ì) to stand for ìleads toî, ìindicatesî, ìis related toî,ìisî, or anything else inside a written sentence; instead, use the actual words. Theìequalsî sign should be used only to indicate ìis equal toî within an equation.

13- Donít do magic: plus/minus (ì±î) signs, ì= 0î, radical symbols, and denominatorsshould not disappear in the middle of your computations, only to mysteriously reappear at the end. Each step in a problem should be complete.

14- If the problem is of the ìExplainî or ìWrite in your own wordsî type, then copying theanswer from the back of the book, or the definition from the chapter, is unacceptable. You should write the answer in your words, not the textís.

Remember to put your final answer at the end of your work, and mark it clearlyby, for example, underlining it. Label your answer appropriately; if the question asks for measured units, make sure to put appropriate units on the answer. If the question is a word problem, the answer should be in words.