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Appendix D

The Environment

Environmental and wildlife preservation ensures future generations will have available resources and can enjoy the beauty of Earth. On the other hand, some of the damage humans have already done to the environment is expensive and time consuming to eradicate.

Application Practice

Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. 1. The cost, in millions of dollars, to remove x % of pollution in a lake modeled by a. What is the cost to remove 75% of the pollutant? 6000 6000 6000

C = --------------- = --------------- = ------------ = $120 200 – 2 * 75 200 – 150 50

b. What is the cost to remove 90% of the pollutant? 6000 6000 6000

C = ------------------ = ------------------- = ----------- = $ 300 200 – 2 * 90 200 – 180 20

c. What is the cost to remove 99% of the pollutant? 6000 6000 6000

C = ------------------- = ------------------ = -------------- = $ 3,000 200 – 2 * 99 200 – 198 2 d. For what value is this equation undefined? The equation is undefined for X = 100%

e. Do the answers to sections a. through d. match your expectations? Explain why or why not.

It is expected that the amount of the pollutant would increase per each percentage. The percentages get higher for each problem therefore making the pollutant higher as well. I thought that they would be higher as the…...

...may be a positive or negative response. While writing this paper, I think it is a good idea to learn to give honest opinions about the subject and also provide a good amount of detailing to help describe whether this teacher did or did not have a good impression on me. It is very important to say whether I was able to learn how to be a better teacher and what the teacher did that I could possibly use in the future. While analyzing and going through the process of this assignment it is helping realize how to become a better teacher as well. I would also like to get more comfortable and experience on using this template of the paper. Memories Of A Teacher My teacher, Mr. G, used many different instructional techniques and approaches to his lessons. Mr. G had taught me math for three years in a row, so I think that I have a good grasp on his approaches to the lessons that he would teach. He would assign many homework assignments, as well as in-class assignments, which helped me and other students understand and get practice with the lesson that we were learning. I think that with math having a lot of homework is a good thing. In my mind, the only way to learn how to do math is plenty of practice. The more you practice, the easier it will be. Mr. G would also have the students do some math problems on the chalk board or smart board to show the class and go over the corrections with the whole class so that everyone would understand the problem. Playing “racing” games also......

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...Matematikrapport nr. 8 i 3.c Ma. Afleveres onsdag den 6. feb. a) Nulpunkterne for den funktion f, hvis graf er vist i opgavebeskrivelsen er: b) Hvorfor nulpunkterne er interessante når fortegnsvariationen for f skal bestemmes. Ved nulpunkter kan funktionsværdierne skifte fortegn og det er netop derfor, at de er interessante. c) Bestemmelse af fortegnsvariation for f. Funktionen f har positiv fortegn i intervallerne og Og negativ fortegn i intervallerne og d) Aflæsning af lokalt maksimum og lokalt minimum for f lokalt maksimum er -3 og lokalt minimum er 1. e) Aflæs på grafen monotoniintervaller for f. Dvs. aflæs de intervaller, hvor funktionen er voksende og de intervaller, hvor funktionen er aftagende. Funktionen er voksende i intervallerne og Funktionen er aftagende i intervallerne g) Bestem f´(x). Både uden hjælpemidler og vha. Maple. Uden hjælpemidler: De forskellige led differentieres og vi starter med x3. Tretallet rykkes ned foran x og der trækkes én fra opløftet værdi så det bliver 3x2. Dernæst differentieres 3x2 igen rykkes totallet ned og der trækkes én fra den opløftet værdi så det bliver 2x. Dette ganges på tretallet som i forvejen stod foran x’et og vi får 6x. Når 9x differentieres fjernes x’et og tilbage står 9. Alle konstanter der differentieres fjernes og det færdige differentieret f ser således ud: Med hjælpemidler: I stedet for Maple bruges TI-89 til at differentiere og følgende kommando: Naturligvis fås samme......

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...reasons. It normally takes about eleven years to become a doctor, four years of college, four years of medical school, and three years of working in the hospital. If you think about it that is a long time to actually get started in your career but it definitely pays off. If your wanting to be a doctor you should want to help people and be ready to study very much. Your probably wondering by now how being a doctor relates to mathematics. Doctors have to know how to use the metric system when weighing or taking the height of patients. They mainly have to know pounds and kilograms. Doctors write many prescriptions everyday so they have to know what to give to patients mainly depending on their weight. For example, when prescribing an antibiotic called amoxicillin it is 45mg/kg twice a day so if a child weighs twenty two pounds they will take 225mg of amoxicillin twice a day for however many days the doctor thinks it is necessary. Doctors also have to know how to use math to determine how much of an IV to give the patient. Knowing the body mass index formula helps them to determine if their patients are overweight or underweight so that they can help them and give them directions on how to solve that. There are many people who think of becoming a doctor but do not realize that hardships it takes to get there and all the hard work they have to go through in the process. “There are some who do have a strong determination of entering the medical field, but after......

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...Diana Garza 1-16-12 Reflection The ideas Stein presents on problem saving and just math in general are that everyone has a different way of saving their own math problems. For explains when you’re doing a math problem you submit all kinds of different numbers into a data or formula till something works or maybe it’s impossible to come up with a solution. For math in general he talks about how math is so big and its due in large measure to the wide variety of situations how it can sit for a long time without being unexamined. Waiting for someone comes along to find a totally unexpected use for it. Just like has work he couldn’t figure it out and someone else found a use for it and now everyone uses it for their banking account. For myself this made me think about how math isn’t always going to have a solution. To any math problem I come across have to come with a clear mind and ready to understand it carefully. If I don’t understand or having hard time taking a small break will help a lot. The guidelines for problem solving will help me a lot to take it step by step instead of trying to do it all at once. Just like the introduction said the impossible takes forever. The things that surprised me are that I didn’t realize how much math can be used in music and how someone who was trying to find something else came to the discovery that he find toe. What may people were trying to find before Feynmsn....

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...you come to geometry, your opinion may vary. This class introduces a lot of new topics, which can be challenging, and take lots of practice outside of school if you do not pay attention or do your math homework. I strongly advise you to do your math homework everyday, not for just a grade, but it also helps you when it comes time for quizzes and tests. She rarely checks homework, but when she does, she will not tell you. It is also a great review for tests and quizzes. Ms.Hull’s tests and quizzes are not the easiest things you will take. The quizzes take new concepts and apply to the quiz. Also, her tests are usually always hard. It is a good idea to practice new concepts and review old ones from previous units, so you can get a good grade on the tests. I also advise you to be organized throughout the year. Organization is the key to success especially in math class. Tool kits are an extremely helpful resource to use. There are going to be a lot of conjectures and theorems that will be new, and it would be hard to just memorize them. My overall geometry year was not exactly the way I hoped it would turn out. It was extremely had, and it moves at a very quick pace, so keeping up was hard for me personally. If I could have done something differently, it would have been practicing math more often. Each concept was hard, and I did not have anytime to review it, because I have a lot of honors classes which require a lot of work too. The key to being successful in this......

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...Jasmine Petersen Dr. Abdeljabbar MAT 1111 April 23, 2014 Algebra is one of the most important subjects someone can learn. It is a subject that transfers into daily life. A lot of people do not realize that they are using algebra. Algebra can be anything from calculating the amount of money you’ve spent on your grocery shopping, designing structural plans for a building, and keeping track of the calories you have in your diet. Our professor told us that in every subject, we use math. My major is chemistry and mathematics is used widely in chemistry as well as all other sciences. Mathematical calculations are absolutely necessary to explore important concepts in chemistry. You’ll need to convert things from one unit to another. For example, you need to convert 12 inches to feet. Also, we use simple arithmetic to balance equations. A lot of things I’ve had learned from this course and one of them was that we use Math for everyday life. I’ve also learned many ways how to solve equations such as linear, quadratic, exponential, and logarithmic equations. All the material that we did learn was all easy to learn and understand. I believe that the instructor did a good job explaining on how to solve problems. If my friend was asking me how to determine the differences between the equation of the ellipse and the equation of the hyperbola, I would first give he or she the definition of the two words ellipse and hyperbola. An ellipse is a set of all points in a plane such that the......

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...Strategies to Overcome Math Anxiety Classroom Skills * Your instructors want you to succeed. Remember, they are unsuccessful unless you are successful. Your instructor wants you to learn the material and is willing to help when you ask questions. * Ask questions when you become stuck or as soon afterwards as possible. * Make your questions as specific as possible. It is easier for your instructor to answer a question such as, “I don’t understand how to solve for x when the equation begins with a fraction” than “I just don’t understand this section. Can you help me?” In addition, by making your questions as specific as possible, you can sometimes find the answer on your own. * Even if you do not understand what the textbook explains yet, read it over before class. When you have some knowledge about the concepts before they are presented, you will find them easier to understand. * Embrace word problems. Although they are sometimes corny, word problems are the gateway to using your math in real life. * If you are taking a math class at your local campus, sit near the front of the class. * Take advantage of your campus’s help sessions and the CME online coaching. Studying for Exams * Study everyday instead of cramming for exams. Review previous materials everyday for about a half hour to help you retain skills. * Do not multitask when you are studying. Cognitive psychologists find that multitasking makes you less efficient at......

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...possible other things that would change to balance out the higher interest rates. Requirements for essay * Write your essay in this document – do not save it in a separate file. * You must clearly state your position with well-structured paragraphs using proper grammar, spelling, and sentence structure. * This is not an “opinion” question – you must offer evidence to support your position, using properly-cited sources. * Your answer must be between ¾-1 page in length. * You must cite and reference at least one source (book, website, periodical) using APA format. The required website counts as one source. You may submit your Assignments to the Math Center for review. Tutors will not grade or correct the Assignment, but they will provide guidance for improvement. Tutors will not, however, help you find web sites for the Assignment. Be sure to submit Assignments early enough to receive feedback and make corrections before the Assignment due date (24 hour turn-around times Monday-Thursday and 48 hour turn-around times on weekends are typical). Email Assignments to: kumc@kaplan.edu. Please put “MM255 Assignment Review” in the subject line of the message. There are many advantages and disadvantages of higher interest rates on investments. The advantages are during the high interest rate times the investment income can extend their maturities into the future. Incentiven to save, high risk reward, and stronger currency are also advantages. The......

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...Math 1P05 Assignment #1 Due: September 26 Questions 3, 4, 6, 7, 11 and 12 require some Maple work. 1. Solve the following inequalities: a) b) c) 2. Appendix D #72 3. Consider the functions and . a) Use a Maple graph to estimate the largest value of at which the graphs intersect. Hand in a graph that clearly shows this intersection. b) Use Maple to help you find all solutions of the equation. 4. Consider the function. a) Find the domain of. b) Find and its domain. What is the range of? c) To check your result in b), plot and the line on the same set of axes. (Hint: To get a nice graph, choose a plotting range for bothand.) Be sure to label each curve. 5. Section 1.6 #62 6. Section 2.1 #4. In d), use Maple to plot the curve and the tangent line. Draw the secant lines by hand on your Maple graph. 7. Section 2.2 #24. Use Maple to plot the function. 8. Section 2.2 #36 9. Section 2.3 #14 10. Section 2.3 #26 11. Section 2.3 #34 12. Section 2.3 #36 Recommended Problems Appendix A all odd-numbered exercises 1-37, 47-55 Appendix B all odd-numbered exercises 21-35 Appendix D all odd-numbered exercises 23-33, 65-71 Section 1.5 #19, 21 Section 1.6 all odd-numbered exercises 15-25, 35-41, 51, 53 Section 2.1 #3, 5, 7 Section 2.2 all odd-numbered exercises 5-9, 15-25, 29-37 Section 2.3 all odd-numbered exercises 11-31...

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...S14 MATH 1205 – Final 12 May 2014 NAME: CRN: Use only methods from class. You must show work to receive credit. 1. (16 pts) Find the following limits. (a) (8 pts) lim tan(5θ) θ→0 2θ ( (b) (8 pts) lim x cos x→0 6 1 6x ) 2. (18 pts) For each of the following functions, ﬁnd (a) (9 pts) y = 1 + x2 sin−1 (3x) dy . Assume y is a diﬀerentiable function of x. dx (b) (9 pts) ex+y = xy 3. (11 pts) (a) (4 pts) Complete the following deﬁnition: The derivative of the function f (x) with respect to the variable x is the function f ′ (x) deﬁned by f ′ (x) = (b) (7 pts) Use that deﬁnition to ﬁnd f ′ (1) if f (x) = (x − 4)2 . You cannot use the power rule. 4. (10 pts) Find the values of a and b that ensure that the following function is continuous for all x in (−∞, ∞). You must show work to receive credit. Justify your work using complete sentences. −x2 + 3a x < 2 f (x) = b x=2 ax x>2 5. (16 pts) A hot air balloon is falling at the rate of 20 ft/sec. When the balloon is 30 ft above the ground, a car is 40 feet from the spot on the ground directly below the balloon. The car is traveling horizontally away from that spot at 40 ft/sec. What is the rate of change of the distance between the balloon and the car at this time? Answer with a complete sentence. 6. (11 pts) Using a named theorem from class, show that the function f (x) = 2−x − 5x3 at least one root on (−∞, ∞). 7. (18 pts) The function f (x) is deﬁned for all x in (−∞,......

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...4/30 Unit 4 Sem 2 Test HW # 28 Systems worksheet Friday 5/2 Section 9.3 Multivariable Linear Systems and 10.1 Matrices and Systems of Equations HW #29 p. 685 19, 27, 35, 37, 45, 51, 57, 59 p. 741 71, 73, 75 Tuesday 5/6 Section 9.3 Multivariable Linear Systems and 9.5 Systems of Inequalities HW #30 p. 687 61, 67, 69, 71 p. 705 15, 17, 22, 23, 41, 49 Quiz next class Thursday 5/8 Section 9.5 Systems of Inequalities and 9.6 Linear Programming Quiz on 9.3 HW #31 p. 706 63, 66, 75, 79, 91-94 p. 715 29, 33, 35, 37, 41, 48 Unit 5 Sem 2 Test is on Thursday, May 22, 2014 Monday 5/12 Section 9.6 Linear Programming HW # 32 p. 716 38, 39, 43 Quiz next class If you find that you need extra help, please come and see me as soon as possible or seek help from the math teacher in the MRC. Please do not wait until right before the test. Wednesday 5/14 Section 9.6 and higher order systems Quiz 9.5, 9.6, 10.1 HW # 33 Worksheets Friday 5/16 Springfest---I will explain the special schedule for today. Tuesday 5/20 Review Quiz HW #34 Worksheets Test next class Thursday 5/22 Unit 5 Test HW Work on final exam review packet due this Friday 5/24 Tuesday 5/27 Final Exam Review –being preparing final exam presenatations Thursday 5/29 Final Exam Review Presentations Groups 1, 2, 3 Monday 6/2 Final Exam Review Presentations Groups 4, 5 Thursday 6/5 FINAL EXAM Have a wonderful summer!! ...

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... | | |Location | | |on-line | | | | | |Times | | |on-line, or in Maier Hall , Math Lab, Peninsula College | | | | | |Start Date | | |Sept. 21, 2015 End Date Dec. 9, 2015 | | | | | |Course Credits ...

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...excitement when strong determination and constant interest is properly established and upgraded. Students feel jubilant and rewarded when correct solution is achieved. “The harder the struggle, the sweeter the victory is a common expression. This study was brought about when Mathematics, especially problem solving processes, Mathematics interest and Mathematics aptitude. Problem solving, which the National Council for Teacher in Mathematics (NCTM) 1980’s widely heralded statement in its agenda for action and problem solving has been the theme of the council. Knowledge and skills of Mathematics problem solving is believed to help school goers solve problems in their day to day of existence. The ancient claimed “Mathematics is the queen of Knowledge,” hence it is only right to say that Mathematics enhanced students understanding of the important principles in math, that is, as a cooperative and never ending process. Mathematics also made them exert more effort in improving their achievement and inspire them in relating Mathematics and applications for the solution of human problems. There are many ways of solving problems. The one presented by Polya – a Mathematician of the 18th Century. According to Polya, to solve problems in Mathematics, a student must follow certain steps of processes. Polya’s steps for solving Mathematics problems are; (a) Understand the Problem, (b) Devise a Plan, (c) Carry out the Plan, and (d) Look Back (McCoy 1994). Due to this vision, the......

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...Radicals Application Practice Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting. Hint: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions. 1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of Earth. a. Solve the equation for r. b. Suppose that an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.) c. Use the value of C you found in the previous question to determine how much the object would weigh in i. Death Valley (282 feet below sea level). ii. the top of Mount McKinley (20,320 feet above sea level). 2. The equation gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet. a. Solve this equation for h. b. Long’s Peak in Rocky Mountain National Park, is 14,255 feet in elevation. How far can you......

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...Unit 1 When we manipulate expressions and equations, we realize that there are basic properties that govern what we can and can't do. One of those properties is the Commutative Property. Let's consider this property in our discussion. Is there a commutative property of subtraction? In other words, does order matter when subtracting? Why or Why not? Please provide an example to explain your reasoning. Please share any trick or mnemonic device to help you recall what this property is or how to use it. There is no Commutative Property in subtraction. Yes order does matter subtracting, you can not subtract a larger number from a smaller number, such as: 3-6 = this subtraction can not be done but if you turn it around and subtract the smaller number from the larger number it will work: 6 -3 = 3. In all the properties you can not use subtraction or division, just addition and multiplication. Unit 2 As we know, a set is just a collection of objects that are similar in some way, like a gaggle of geese, pride of lions, or an army of ants. To further classify our world, we can create subsets from a larger set. Let's consider the idea of a subset for our discussion. • Give an example of a subset and a proper subset. Explain the difference between a subset and proper subset. • Can any set be a proper subset of itself? Give an example of why or why not. A = {Lions, Tigers, Jaguar} B={Lions, Tigers, Leopard, Cheetah, Jaguar} *Everything that is in A is in set B therefore......

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