Free Essay

# Precalculus

In: Other Topics

Submitted By crazyfire33
Words 533
Pages 3
Section 4.2
8. Given: F(x) = 3x and G(x) = (1/4)x, what is G(-3)? G(-3) = (1/4)-3 = 64

14. Graph F(x) = 4x
X F(x)
0 1
1 4
2 16
-1 .25

58. 32t+1=161-t
(43)t+1=(42)1-t
4(3t+3)=4(2-2t)
3t+3 = 2-2t
5t = -1
T = -1/5

66. 1/81 = K-4
3-4=K-4
K=3
74. A= \$45,000(1 + .035/12)12
\$46,600.51

Section 4.3
4. 25=32 therefore log232=5

14. X=log3(1/81), therefore 3x=1/81
X=-4

16. logx(27/64) = 3
X3= 27/64 X = (27/64)
X=3/4

46. F(x) = log10X
X Y = log10X
1 0
2 .301
3 .477
4 .602
5 .699

62. log2 2 /5
Log22 + log2 -log25
1+log231/2-log25
1+1/2log23-log25

72. logbK + logbM - logbA
Logb (K*M/A)

82. Given: log102 = .3010; log103 = .4771
Log1012 = log102 + log103 + log102
Log1012 = .3010 +.4771 + .3010
=1.0791

Section 4.4
14. log.078 = -1.108 (used calculator)

30. Limes, 1.6*10-2 , ph=-log[1.6*10-2]
Ph = -log 1.6 - log10-2
Ph = -log1.6 +2
Ph = 1.80

52.
a. F(t) = 74.61 +3.84ln(t)
74.61 +3.84 ln (8)
F(t) = 82.59, function is very accurate
b. As the percentage increases towards 100% the rate of kids that volunteer will slow and a large number of years will be needed to continue to approach 100% representative of a logarithmic function. An exponential function would reach 100% in a few years, which is not representative of the rate at which the kids are volunteering.
56.
H=-[.521log2.521+.324log2.324+.0811log2.0811+.074log2.074]
H=1.59
Section 4.5
6. 5x=13
Ln5x=13
Xln5=ln13
X = ln13/ln5 = 1.59

24. 5(1.2)3x-2 + 1 = 7
5(1.2)3x-2=6
ln1.23x-2=ln6/5
(3x-2)ln1.2 = ln6/5
3x-2 = ln(6/5)/ln1.2
3x = [ln(6/5)/ln1.2] +2
X = [[ln(6/5)/ln1.2] +2]/3
X=1

60. R=p-kln(t) r-p=-kln(t) p-r=kln(t)
(p-r)/k = ln(t) e[(p-r)/k]=t 76. 20,000=16,000(1+r/4)5.25*4
1.25=(1+r/4)21
Ln1.25 = 21ln(1+r/4)
Ln1.25/21 =ln(1+r/4)
e.010626=1+r/4
1.0107 = 1+r/4
.0107=r/4
r=.04, therefore rate =40%

94. (ex)2-4ex+3 = (ex-3)(ex-1)

Section 4.6
2. Given: y=2e.2x
A. 3 mil = 2e.2x
1.5mil = e.2x
Ln1.5 = .2x
X=ln1.5/.2 = 2.03 years
B. 2e.2x=6
e.2x=3
lne.2x=ln3
.2x=ln3
X=ln3/.2=5.49

10. M=1 M=3
1=6-5/2logx 3=6-5/2logx
5=5/2logx 3=5/2logx
10=5logx 6=5logx
2=logx 6/5=logx
X=100 X=15.8
Ratio; 100:16 or 25:4

### Similar Documents

Free Essay

#### Lakeside

Words: 2722 - Pages: 11

#### Ismini Ethridge's Recommendation

...I am honored to highly recommend Ismini Ethridge as a wonderful addition to any college community. Ismini was a student in my Precalculus section during her junior year and I also served as part of her in-dorm faculty last year. I came to know Ismini as one of the most thoughtful, prepared, and insightful young women I have taught. Ismini was a leader and a scholar in my class. Her strong voice and confidence allowed her to ask pointed questions, correct my mistakes, and help her classmates. My class utilizes a great deal of small group work and individual work at the board. Students are encouraged to share their knowledge, because “math is not a secret.” Ismini took this message to heart and was always the most vocal and helpful student....

Words: 418 - Pages: 2

Free Essay

#### Discrete Mathematics

...Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic[1] – do not vary smoothly in this way, but have distinct, separated values.[2] Discrete mathematics therefore excludes topics in "continuous mathematics" such as calculus and analysis. Discrete objects can often be enumerated by integers. More formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets[3] (sets that have the same cardinality as subsets of the natural numbers, including rational numbers but not real numbers). However, there is no exact definition of the term "discrete mathematics."[4] Indeed, discrete mathematics is described less by what is included than by what is excluded: continuously varying quantities and related notions. The set of objects studied in discrete mathematics can be finite or infinite. The term finite mathematics is sometimes applied to parts of the field of discrete mathematics that deals with finite sets, particularly those areas relevant to business. Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digital computers which operate in discrete steps and store data in discrete bits. Concepts and notations from discrete mathematics are...

Words: 390 - Pages: 2

Free Essay

#### Operations Management

Words: 4472 - Pages: 18

#### Who I Am

...Gustavo Villarroel 8801 Villa View Cir APT 204 Orlando Fl, 32821 Gustavo Villarroel 8801 Villa View Cir APT 204 Orlando Fl, 32821 Hello Sir or Madam, I realize that this is not one of the prompts for the essay. But I thought instead of going through the same essays over and over again, you can get to know more about me and what I’d like to do for the future. Sound good? Ok let’s go. First of all my name is Gustavo Arturo Villarroel De La Concha Alvarez. Pretty long isn’t it? Don’t worry you can call me Gus for short. Over the past year when I still a junior in high school I conjured up a multitude of ideas for innovations that could very well alter the way we manufacture vehicles for the future, but first I need to be educated in the field that best suits that subject, Mechanical Engineering. During my junior year, I bought a 2001 6 cylinder Laser Red Ford Mustang. It was a stick shift too, so it was fun to drive on the highway switching in and out of gears and really hear the engine roar. I went with my mother and step father to the Rolex 24 since they worked for BRA Motorsports and went inside the garages for the racers and I was mesmerized by the array of sport horses as well as the components that make them up. I was always a curious soul, I just felt the need to poke my nose into things that fascinated me and I always had the urge to obtain a COMPLETE understanding of them...

Words: 737 - Pages: 3

#### Capitasl

...VIEWPOINT An Evaluation of E-Learning on the Basis of Bloom’s Taxonomy: An Exploratory Study LEILA A. HALAWI AMERICAN UNIVERSITY IN DUBAI DUBAI, UNITED ARAB EMIRATES RICHARD V. MCCARTHY QUINNIPIAC UNIVERSITY HAMDEN, CONNECTICUT SANDRA PIRES BOWLING GREEN UNIVERSITY BOWLING GREEN, OHIO ABSTRACT. Universities have rushed to expand their delivery of courses through ABSTRACT. e-learning environments. But is e-learning effective? The authors conducted an exploratory study to evaluate e-learning through WebCT on the basis of Bloom’s taxonomy. The authors distributed 75 questionnaires to investigate whether individual or instructional factors play an important role in learning when using WebCT. On the basis of analysis of surveys from undergraduate students at a medium-sized university in the southeastern region of the United States, the authors determined that individual and instructional factors do not play a major role in the learning process. Keywords: Bloom’s taxonomy, e-learning, WebCT Copyright © 2009 Heldref Publications worldwide drastic change occurred in the educational system at the end of the 20th century. Various institutions have tried to bring change to the educational system and to bolster student accomplishments by focusing on schools, teachers, and students responsible for academic learning and achievement (Rothman, 1995). E-learning is an increasingly common form of instructional delivery available in academic and business arenas. E-learning......

Words: 5530 - Pages: 23

#### College

...The life of a typical college student is learning to change your life style of working on your own. Learning to set a study schedule getting to class on time, and communication with a diverse culture of your peers. There are many jobs out there in math and science that will interest you. But most kids study very hard but still struggle with math and science and sometimes feel like giving up. So to give students the encouragements there are many different ways to help them. Mathematics and science is one of the most challenging this student or an adult can say is so confusing and sometimes can be frustrating. When you think about math all you really see is numbers and symbols and more and more numbers. But on the other hand when you think about science you see formulas and symbols and also more number they both favor some of the same things. That’s what makes them both very challenges and wiser. The reason that we need mathematics is to solve problems and to educate others. Probability and statistics for an actuary to analysis research. Insurance representative measure performances of field sales with internally and extremely to predict models on current and proposed scenarios. Teaching at all levels from k-1 until college levels. Architects use math to draw up a plans for and a building. He has to learn to stay within budget for the client. Biologist study life too many living things with structure, development and the function of plants. Of all these jobs structures there......

Words: 921 - Pages: 4

Free Essay

#### The Golem

...Ryne Rogers AH120 Writing in the World Professor Mason Argumentative Paper The New Technique Imagine yourself back in high school; you are a student sitting at a desk with this year’s final exam. You have a sharpened pencil, calculator, and a bottle of water; also you have a total of four hours of sleep because you have been up since three in the morning studying all of your precalculus notes. At this point the questions are looking the same, and you have to get an “A” to even pass the class. You are getting on an “edge,” you try to work out the problem however the numbers do not look quite right. You look at the clock and see that you have only ten minutes left to complete the exam. Now you are frantic to even finish; you’re making simple errors that even a 5th grader would not make. Suddenly you hear, “Time!” now you are just putting down random answers and praying. Has this happened to you before? You do not only share this stressful scenario but also with so many others. With as many people come just as many remedies; from taking Red Bull, Five Hour Energy, or even drugs, trying to take this pressure away. Now let me inform you of another remedy that might work and that you have heard of before, meditation. Now many believe that this “ritual” is tacky and would not help students manage their stress, although some believe the contrary. One of the biggest advocates of meditation in the classroom is David Lynch, a film director and author of Catching......

Words: 1215 - Pages: 5

Free Essay

#### Dr Manger

Words: 29834 - Pages: 120

#### Hello

...Kahn Academy  www.ixl.com  youtube videos  www.virtualnerd.com Teacher Contact Information Due Date(s) First day of the new school year Expected time for completion jnewman@nburlington.com mdodd@nburlington.com Administrative Contact Information Approximately 6 hours Note: The time required to complete this assignment will vary. This is only a rough estimate to help with planning. Students should keep in mind their own study habits and pace of work while budgeting time to complete this assignment. Ms. Amy Stella, Director of Instruction for Mathematics astella@nburlington.com (609) 298-3900 ext 2220 Purpose of assignment: Refine and practice skills learned in prior math courses to prepare for the Honors Precalculus mathematics curriculum. Preview style of benchmark assessments and evaluations that are administered throughout the year. Skills/Knowledge required for completion: This assignment reviews some of the basic concepts of solving all types of equations, functions, simplifying radicals, unit circle, trigonometry, systems of equations Grading: Completion of this assignment will count as the first practice grade for the school year (practice is worth 10% of each marking period). There will be an assessment after a short in-class review on the student’s knowledge of the review topics (assessments are worth 40% of each marking period). Name: _____________________________________ Student Self-Assessment Summer Assignment......

Words: 1475 - Pages: 6

#### Diet And Synthesis Essay

...another. Three examples are provided to illustrate the entrance criteria for this field. Acadia university offers a bachelor of science in Nutrition with Dietetics option. It a five years full time program that combines knowledge in biology and chemistry related to studies of food metabolism with courses in Nutrition, psychology, statistics, etc ("Study Bachelor of Science in Nutrition (Honours) Acadia University Canada Faculty of Pure and Applied Science."). Applicants from PEI must complete five grade 12 courses including English, Mathematics and Chemistry with a minimum overall average of 70%. Whereas, for international students, the submission of certified high school transcripts, a minimum TOEFL IBT score of 90, and both chemistry and precalculus mathematics are essential to apply. The dietetic practicum is a competitive program and acceptance relies on excellent academic standards, volunteer work, references and an interview. Only twelve applicants are selected to undergo the 48 weeks practicum program that involves working with the Western Zone, long term care placements, and sometimes a practice based research project. The completion of the internship allows students to take the national registration examination and to become registered dietitians (Interactive ). The Nutrition and dietetics bachelor's degree at King's College London is a four years program that forms registered dietitians who translate the scientific research of food into practical guidance to......

Words: 1909 - Pages: 8

Free Essay

#### Mac 1140

...[pic] Syllabus PreCalculus Algebra 1151-MAC1140VC1151-16321 General Information | Important Information | Course Detail General Information Professor Information [pic] Instructor: Dr. Ciprian Gal Phone: (305) 348-1216 Office: DM 435B (MMC) Office Hours: By Appointment E-mail: cgal@fiu.edu Course Description And Purpose A one semester introduction to the basic notions of calculus. Specific topics include: differential calculus using polynomial, exponential and logarithmic functions, and their application to optimization; integral calculus with area and probability applications. Please enter the course description and purpose. Course Objectives Students will develop an understanding of advanced algebraic techniques and procedures and enhance their logical reasoning skills including both inductive and deductive logic. They will gain a better understanding of the techniques of problem solving including clearly defining the problem, using a systematic approach and using symbolic representation to solve practical, real world problems. After finishing the course: o The student should have a good understanding of the concept of a function and its graph, in particular a polynomial, rational, exponential and logarithmic functions will be emphasized.   o The student should be able to solve a system of linear and......

Words: 1926 - Pages: 8

#### Finance

...FINANCE PROJECT Pre-AP Precalculus Part 1: College And Career Choices A. Desired Career (explain why you chose this career): |My desired career is to be an elementary school teacher. I chose this career because that is what my sister is going to college for and it seems very | |interesting. I want to get to interact with young kids as well as teaching them. | B. Degree(s) and College Major Required: |Get a 4 year bachelor’s degree. Major in elementary education, specialize in math. | C. Preferred College or University: |Stephen F. Austin | D. Cost for 1st 4 years of College: Cost for additional years of required schooling: E. Annuity Option: Use the correct annuity formula. Show work (substituting correct values for the variables). | | |50000=R [ (1+.00666…)^216 -1 / .00666…] | |50000=R(480.09) ...

Words: 2505 - Pages: 11

Free Essay