AP Notes, Outlines, Study Guides, Vocabulary, Practice Exams and more!

Exponentials

Population Growth Questions

Subject: 
Rating: 
0
No votes yet

Bio 270 Practice Population Growth Questions 1 Population Growth Questions Answer Key 1. Distinguish between exponential and logistic population growth. Give the equations for each. Exponential growth is continuous population growth in an environment where resources are unlimited; it is density-independent growth. dN/dt = rN where, dN/dt = change in population size; r = intrinsic rate of increase (= per capita rate of increase and equals birth rate minus death rate); N = population size. Nt = Noert where, Nt = population size at time t; No = original population size, r = intrinsic rate of increase and t = time Logistic growth is continuous population growth in an environment where resources are

Botkin and Keller Chapter 3 Reading Guide Key

Rating: 
0
No votes yet

1 APES- Chapter #3- Guided Reading Assignment The Big Picture: Systems of Change Name: ____________________________ Period: _______ Due Date: ______________ Summarize the ?Trying to Control Flooding of the Wild Missouri River? Case study People considered the river to be something that was a steady state system and something that could be controlled. This was not the case and it still flooded despite the engineering and money put into the dams and levees. This shows us that it is very hard to try to control nature. Define the following and give examples of each: System: a set of components, or parts, that function together as a whole. Ex. Human body, sewage treatment plant, river

exponential logarithmic functions

Subject: 
Rating: 
0
No votes yet

Seartec Trading (Pty) Ltd. Official SHARP importer & distributor for Southern Africa Worksheet 3 Memorandum: Functions ? Exponential and Logarithmic Grade 12 Mathematics CAPS 1. A quantity representing the power to which a number (the base) must be raised to produce a given number. Remember 2. - if powers with same bases are multiplied the exponents are added ? - if powers with the same bases are divided the exponents are subtracted ? - anything to the power of zero is 1 ? - when a power is raised to another exponent ? the exponents are multiplied ? ( ) - when a power is under a root-sign, the exponent of the power is divided by the root-value ? ?

EXPONENTIAL AND LOGARITHMIC FUNCTION EXAM

Subject: 
Rating: 
0
No votes yet

Exam 4 Which of the following ordered pairs is a solutuion of (-2,-36) c. (-2,1/36) (-2,1/12) d. (-2,-12) Use composition to show that the pair of functions are inverses. Let find f-g the graph represents a function use the horizontal line test to decide where function is one to one If the function is one to one, find its inverse Find the inverse of the function. Then graph the function and its inverse on one coordinate system. Show line of symmetry on graph Let find the composition (f ? g)(x) Write in exponential form Evulatate the expression Evaluate the expression. Evualtae the expression Write the logarithm as a sum/ difference of logarithms of a single quanity. Then simplify if possible

ALGEBRA GUIDE

Subject: 
Rating: 
0
No votes yet

Formula Sheet for College Algebra Final Exam Properties of Exponents p p mp npp m n mpnppmn nmmn mn m n mnmn bb b a b a baba aa aa a aaa 1.6 .5 )(.4 )(.3 .2 .1 = =??? ? ??? ? = = = = ? ? + Quadratic Formula a acbbx 2 42 ???= Circle rradius khcenter rkyhx = = =?+? ),( )()( 222 Vertex of Parabola ),( )()( 2 , 2 2 khatVertex khxaxf a bfa b +?= ??? ???? ? ?? ??? ? ?? Standard Form of Equation of Parabola phxdirectrix kphfocus khvertex hxpky pkydirectrix pkhfocus khvertex kyphx ?= += = ?=? ?= += = ?=? : ),( ),( )(4)( : ),( ),( )(4)( 2 2 Properties of Logarithms pb pb b xbiffxy p b p b b y b b = = = = == log.5 01log.4 log.3 1log.2 log.1 nm n m nm mn mpm bb b bb b b p b loglog

EXPONENTIAL AND LOGARITHMIC FUNCTIONS REVIEW

Subject: 
Rating: 
0
No votes yet

Exam 4 Which of the following ordered pairs is a solutuion of (-2,-36) c. (-2,1/36) (-2,1/12) d. (-2,-12) Use composition to show that the pair of functions are inverses. Let find f-g the graph represents a function use the horizontal line test to decide where function is one to one If the function is one to one, find its inverse Find the inverse of the function. Then graph the function and its inverse on one coordinate system. Show line of symmetry on graph Let find the composition (f ? g)(x) Write in exponential form Evulatate the expression Evaluate the expression. Evualtae the expression Write the logarithm as a sum/ difference of logarithms of a single quanity. Then simplify if possible

AHSME 1986

Subject: 
Rating: 
0
No votes yet

USA AIME 1986 1 What is the sum of the solutions to the equation 4 ? x = 12 7? 4 ? x ? 2 Evaluate the product ( ? 5 + ? 6 + ? 7)(? ? 5 + ? 6 + ? 7)( ? 5? ? 6 + ? 7)( ? 5 + ? 6? ? 7). 3 If tanx + tan y = 25 and cotx + cot y = 30, what is tan(x + y)? 4 Determine 3x4 + 2x5 if x1, x2, x3, x4, and x5 satisfy the system of equations below. 2x1 + x2 + x3 + x4 + x5 = 6 x1 + 2x2 + x3 + x4 + x5 = 12 x1 + x2 + 2x3 + x4 + x5 = 24 x1 + x2 + x3 + 2x4 + x5 = 48 x1 + x2 + x3 + x4 + 2x5 = 96 5 What is that largest positive integer n for which n3 + 100 is divisible by n + 10? 6 The pages of a book are numbered 1 through n. When the page numbers of the book were added, one of the page numbers was mistakenly added twice, resulting in an incorrect sum of

Handbook

Subject: 
Rating: 
0
No votes yet

Contents Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Bibliography; Physical Constants 1. Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Arithmetic and Geometric progressions; Convergence of series: the ratio test; Convergence of series: the comparison test; Binomial expansion; Taylor and Maclaurin Series; Power series with real variables; Integer series; Plane wave expansion

Formula

Subject: 
Rating: 
0
No votes yet

| COMMON?MATH?FORMULAS? AREA(A) Square Rectangle Parallelogram Triangle Circle Trapezoid Sphere ? ? ??; ? ? ??; ? ? ??; ? ? 1/2??; ? ? ???; ?? ? ?1/2???1? ? ??2???; ? ? 4??? where s = any side of the square where l = length and w = width where b = base and h = height where b = base and h = height where ?= 3.14 and r = radius where s= Surface area SURFACE AREA (SA)of a: cube SA = 6?? where s = any side cylinder (lateral) ?? ? 2???; where ?=3.14, r = radius, and h = height PERIMETER (P) of a Square ? ? 4?; where s = any side Rectangle ? ? 2? ? 2?; where l = length and w = width Triangle ? ? ?1 ? ?2 ? ?3; where s = a side

Trig formula sheet

Subject: 
Rating: 
0
No votes yet

All Rights Reserved: http://regentsprep.org Algebra 2 ? Things to Remember! Exponents: 0 1x ? 1m m x x ? ? ?m n m nx x x ?? ?( )n m n mx x? m m n n x x x ?? n n n x x y y ? ? ?? ?? ? ( ) ?n n nxy x y? Complex Numbers: 1 i? ? ; 0a i a a? ? ? 2 1i ? ? 14 2 1i i? ? ? divide exponent by 4, use remainder, solve. ( ) conjugate ( )a bi a bi? ? 2 2( )( )a bi a bi a b? ? ? ? 2 2a bi a b? ? ? absolute value=magnitude Logarithms log yby x x b? ? ? ln logex x? natural log e = 2.71828? 10log logx x? common log Change of base formula: log log logb a a b
Subscribe to RSS - Exponentials

Need Help?

We hope your visit has been a productive one. If you're having any problems, or would like to give some feedback, we'd love to hear from you.

For general help, questions, and suggestions, try our dedicated support forums.

If you need to contact the Course-Notes.Org web experience team, please use our contact form.

Need Notes?

While we strive to provide the most comprehensive notes for as many high school textbooks as possible, there are certainly going to be some that we miss. Drop us a note and let us know which textbooks you need. Be sure to include which edition of the textbook you are using! If we see enough demand, we'll do whatever we can to get those notes up on the site for you!