Warm up. Solve 12y = 3x. Decide whether each equation is true
|
|
- Dale Gordon
- 5 years ago
- Views:
Transcription
1 Warm up Solve 12 = 3x Decide whether each equation is true
2 Section 9-1
3 Assignment 2/10/15 Section 9-1 (p 499): 8 26 (E) (E)
4 Objective We are going to use inverse and joint variation
5 A linear function defined b an equation of the form =kx, where k is not equal to 0, represents direct variation In direct variation, varies directl as x or varies directl with x If a linear function of the form =kx represent a direct variation, then there is a constant of variation k.
6 Identifing direct variation from a table x k kx 5 20 x
7 Identifing direct variation from a table x k kx 5 16 x
8 Identifing direct variation from a table x k kx 12 4 x
9 Identifing direct variation from a table x k kx 6 7 x
10 Identifing direct variation from an equation 3=2x Write the equation in the form =kx.
11 Identifing direct variation from an equation Y=2x+3 Write the equation in the form =kx.
12 Determine whether varies directl with x. if so, find the constant variation x 2
13 Determine whether varies directl with x. if so, find the constant variation 2 1 x
14 Determine whether varies directl with x. if so, find the constant variation 5 x 6 1 3
15 Determine whether varies directl with x. if so, find the constant variation 7x 4 10
16 Using proportion suppose varies directl with x, and x=27 when =-51. find x when =-17. Let (x 1, 1 )=(27,-51) and let (x 2, 2 )=(x2,-17) Write a proportion x 1 1 x x 2
17 Find the missing value for the direct variation If =4 when x=3, find when x=6
18 Find the missing value for the direct variation If =7 when x=2, find when x=8
19 Inverse variation We can model an inverse variation with an of the equations x k k k,, or x, where k x 0.
20 In inverse variation, varies inversel as x or as inversel proportional to x
21 Modeling inverse variation Suppose that x and var inversel, and x=3 when =-5. write the function that models the inverse variation
22 Modeling inverse variation Suppose that x and var inversel, and x=0.3 when =1.4. write the function that models the inverse variation
23 Identifing direct and inverse variation Is the relationship between the variables in each table a direct variation, an inverse variation, or neither? Write functions to model the direct and inverse variations. x As x increases, increases k kx x
24 Identifing direct and inverse variation Is the relationship between the variables in each table a direct variation, an inverse variation, or neither? Write functions to model the direct and inverse variations. x As x increases, decreases k k x x
25 Identifing direct and inverse variation Is the relationship between the variables in each table a direct variation, an inverse variation, or neither? Write functions to model the direct and inverse variations. x As x increases, decreases k k x x
26 Identifing direct and inverse variation Is the relationship between the variables in each table a direct variation, an inverse variation, or neither? Write functions to model the direct and inverse variations. x
27 Identifing direct and inverse variation Is the relationship between the variables in each table a direct variation, an inverse variation, or neither? Write functions to model the direct and inverse variations. x
28 Identifing direct and inverse variation Is the relationship between the variables in each table a direct variation, an inverse variation, or neither? Write functions to model the direct and inverse variations. x
29 Quantities can var with respect to each other in different was. For example, can var directl with x 3 (=kx 3 ) or inversel with x 2 (=k/x 2 ) It is possible for three or more variables to be related. When one quantit varies with respect to two or more other quantities, the result is a combined variation. For example variable z can var directl with both x and. we can model such a joint variation with the equation z=kx, where k is not equal to 0.
30 Newton s Law of Universal Gravitational is Gm modeled b the formula 1m2 F 2 d F is the gravitational force between two objects with masses m 1 and m 2, and d is the distance between the objects. G is the gravitational constant. Describe Newton s Law as a combined variation. F Gm m d F varies jointl with the masses m 1 and m 2 F varies inversel with the distance between the mass of the objects
31 For the formula for the area of a trapezoid is A 1 2 h( b 1 b 2 ) Describe this relationship as a combined variation A varies jointl with the height and the sum of the bases.
32 The volume V of a tetrahedron varies jointl with its altitude h and base area B. A tetrahedron with a 5-cm altitude and 6-in 2. base has volume of 10 cm 3. write a formula that models this joint variation. V = kbh
Inverse & Joint Variations. Unit 4 Day 9
Inverse & Joint Variations Unit 4 Da 9 Warm-Up: Released Eam Items & Practice. Show our work to complete these problems. Do NOT just circle an answer! 1. The equation 2 5 can be used to estimate speed,
More informationUnit 9: Rational Functions
Date Period Unit 9: Rational Functions DAY TOPIC Direct, Inverse and Combined Variation Graphs of Inverse Variation Page 484 In Class 3 Rational Epressions Multipling and Dividing 4 Adding and Subtracting
More informationUse the slope-intercept form to graph the equation. 8) 6x + y = 0
03 Review Solve the inequalit. Graph the solution set and write it in interval notation. 1) -2(4-9) < - + 2 Use the slope-intercept form to graph the equation. 8) 6 + = 0 Objective: (2.8) Solve Linear
More informationAFM Unit 2A Review Sheet
AFM Unit A Review Sheet Multiple Choice Identif the choice that best completes the statement or answers the question. 1. Write the ordered pairs for the relation. Find the domain and range. O x {(, 5),
More informationf(x)= x about the y axis.
Practice Eam 2 CH 1 Functions, transformations and graphs Math 3ML FALL 2016 TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. Provide reasoning. NO EXPLANATION NO CREDIT.
More informationOrdered pair: Domain: Range:
Sec 2.1 Relations Learning Objectives: 1. Understand relations. 2. Find the domain and the range of a relation. 3. Graph a relation defined b an equation. 1. Understand relations Relation eists when the
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A) 5 B) 277 C) 126 D) 115
MAC 1 Sullivan Practice for Chapter 2 Test (Kincade) Name Date Section MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the distance d(p1, P2)
More informationExam practice Disclaimer. The actual test does not mirror this practice. This is meant as a means to help you understand the material.
Eam 3 24 practice Disclaimer. The actual test does not mirror this practice. This is meant as a means to help ou understand the material. Graph the function. 1) f() = 2 2 + 4 + 3 1) Sketch the graph of
More informationName: Class: Date: Multiple Choice Identify the letter of the choice that best completes the statement or answers the question.
Class: Date: Ch 9a On-Line Test Multiple Choice Identif the letter of the choice that best completes the statement or answers the question. 1. Is the relationship between the variables in the table a direct
More informationModel Inverse Variation. p Write and graph inverse variation equations. VOCABULARY. Inverse variation. Constant of variation. Branches of a hyperbola
12.1 Model Inverse Variation Goal p Write and graph inverse variation equations. Your Notes VOCABULARY Inverse variation Constant of variation Hperbola Branches of a hperbola Asmptotes of a hperbola Eample
More informationSummary and Vocabulary
Chapter 2 Chapter 2 Summar and Vocabular The functions studied in this chapter are all based on direct and inverse variation. When k and n >, formulas of the form = k n define direct-variation functions,
More informationPhysics 111. Lecture 10 (Walker: 5.5-6) Free Body Diagram Solving 2-D Force Problems Weight & Gravity. February 18, Quiz Monday - Chaps.
Phsics 111 Lecture 10 (Walker: 5.5-6) Free Bod Diagram Solving -D Force Problems Weight & Gravit Februar 18, 009 Quiz Monda - Chaps. 4 & 5 Lecture 10 1/6 Third Law Review A small car is pushing a larger
More informationPhysics 111. Applying Newton s Laws. Lecture 9 (Walker: 5.4-5) Newton s Third Law Free Body Diagram Solving 2-D Force Problems Weight & Gravity
Phsics 111 Lecture 9 (Walker: 5.4-5) Newton s Third Law ree Bod Diagram Solving -D orce Problems Weight & Gravit Sept. 1, 009 Quiz Wednesda - Chaps. 3 & 4 Lecture 9 1/6 Newton s Third Law of Motion orces
More information12Variation UNCORRECTED PAGE PROOFS
Variation. Kick off with CAS. Direct, inverse and joint variation. Data transformations. Data modelling. Review U N C O R R EC TE D PA G E PR O O FS. Kick off with CAS Please refer to the Resources ta
More informationFundamentals. Copyright Cengage Learning. All rights reserved.
Fundamentals Copyright Cengage Learning. All rights reserved. 1.11 Making Models Using Variation Copyright Cengage Learning. All rights reserved. Objectives Direct Variation Inverse Variation Joint Variation
More informationCan you. 1. 3xy y. Inverse inverse neither direct direct. 6. x y x y
Salisbur CP Unit 5 You Can (No Calculator) You should be able to demonstrate the following skills b completing the associated problems. It is highl suggested that ou read over our notes before attempting
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Practice for the Final Eam MAC 1 Sullivan Version 1 (2007) SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the distance d(p1, P2) between the points
More informationAnswers to All Exercises. Appendix C ( ) ( ) Section C.1 (page C7) APPENDICES. Answers to All Exercises Ans1
Answers to All Eercises Ans Answers to All Eercises Appendi C Section C. (page C). Cartesian. Distance Formula. Midpoint Formula. ( h) + ( k) = r, center, radius. c. f. a. d. e. b. A: (, ); B: (, ); C:
More informationAlgebra 2 Semester Exam Review
Algebra Semester Eam Review 7 Graph the numbers,,,, and 0 on a number line Identif the propert shown rs rs r when r and s Evaluate What is the value of k k when k? Simplif the epression 7 7 Solve the equation
More information2.1 The Rectangular Coordinate System
. The Rectangular Coordinate Sstem In this section ou will learn to: plot points in a rectangular coordinate sstem understand basic functions of the graphing calculator graph equations b generating a table
More informationCHAPTER 3 Polynomial Functions
CHAPTER Polnomial Functions Section. Quadratic Functions and Models............. 7 Section. Polnomial Functions of Higher Degree......... 7 Section. Polnomial and Snthetic Division............ Section.
More informationTest # 2 Review Sections (2.4,2.5,2.6, & ch. 3) Math 1314 Name
Test # Review Sections (.,.,., & ch. 3) Math 131 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the equation of the line. 1) -intercept,
More informationVariation Functions. Warm Up Solve each equation. 2.4 = x Determine whether each data set could represent a linear function. 3.
Warm Up Solve each equation. 1. 2.4 = x 9 2 10.8 2. 1.6x = 1.8(24.8) 27.9 Determine whether each data set could represent a linear function. 3. x 2 4 6 8 y 12 6 4 3 no 4. x 2 1 0 1 y 6 2 2 6 yes Objective
More informationChapter 5: Introduction to Limits. Chapter 5 Recommendations
Chapter 5: Introduction to Limits Chapter 5 Topics: Inverse and Direct Variation Transformations of Rational Functions Graphing Reciprocals of Functions Introduction to Limits Working With One-Sided Limits
More informationFair Game Review. Chapter of a mile the next day. How. far will you jog over the next two days? How many servings does the
Name Date Chapter Evaluate the epression.. Fair Game Review 5 +. 3 3 7 3 8 4 3. 4 4. + 5 0 5 6 5. 3 6. 4 6 5 4 6 3 7. 5 8. 3 9 8 4 3 5 9. You plan to jog 3 4 of a mile tomorrow and 7 8 of a mile the net
More informationThe semester B examination for Algebra 2 will consist of two parts. Part 1 will be selected response. Part 2 will be short answer. n times per year: 1
ALGEBRA B Semester Eam Review The semester B eamination for Algebra will consist of two parts. Part 1 will be selected response. Part will be short answer. Students ma use a calculator. If a calculator
More informationTest Review FQ3eso_U5_3_Electric force
Test Review FQ3eso_U5_3_Electric force Identify the letter of the choice that best completes the statement or answers the question. 1.- Two metal spheres, A and B, possess charges of 1.0 microcoulomb and
More informationVocabulary. Term Page Definition Clarifying Example. combined variation. constant of variation. continuous function.
CHAPTER Vocabular The table contains important vocabular terms from Chapter. As ou work through the chapter, fill in the page number, definition, and a clarifing eample. combined variation Term Page Definition
More informationAlgebra 1 Midterm Name
Algebra 1 Midterm 01-013 Name Stud Guide Date: Period: THIS REVIEW WILL BE COLLECTED JANUARY 4 th or Januar 7 th. One problem each page will be graded! You ma not turn this eam review in after the due
More informationFind the distance between the pair of points. 2) (7, -7) and (3, -5) A) 12 3 units B) 2 5 units C) 6 units D) 12 units B) 8 C) 63 2
Sample Departmental Final - Math 9 Write the first five terms of the sequence whose general term is given. 1) a n = n 2 - n 0, 2,, 12, 20 B) 2,, 12, 20, 30 C) 0, 3, 8, 1, 2 D) 1,, 9, 1, 2 Find the distance
More informationItems with a symbol next to the item number indicate that a student should be prepared to complete items like these with or without a calculator.
HNRS ALGEBRA B Semester Eam Review The semester B eamination for Honors Algebra will consist of two parts. Part is selected response on which a calculator will NT be allowed. Part is short answer on which
More informationChapter 4 Multiple Random Variables
Review for the previous lecture Definition: n-dimensional random vector, joint pmf (pdf), marginal pmf (pdf) Theorem: How to calculate marginal pmf (pdf) given joint pmf (pdf) Example: How to calculate
More informationThe formulas below will be provided in the examination booklet. Compound Interest: r n. Continuously: n times per year: 1
HONORS ALGEBRA B Semester Eam Review The semester B eamination for Honors Algebra will consist of two parts. Part will be selected response on which a calculator will not be allowe Part will be short answer
More informationWORK AND ENERGY PRINCIPLE
WORK AND ENERGY PRINCIPLE Work and Kinetic Energy In the previous article we applied Newton s second law F ma to various problems of particle motion to establish the instantaneous relationship between
More informationALGEBRA 1 CP FINAL EXAM REVIEW
ALGEBRA CP FINAL EXAM REVIEW Alg CP Sem Eam Review 0 () Page of 8 Chapter 8: Eponents. Write in rational eponent notation. 7. Write in radical notation. Simplif the epression.. 00.. 6 6. 7 7. 6 6 8. 8
More information2.1 Intercepts; Symmetry; Graphing Key Equations
Ch. Graphs.1 Intercepts; Smmetr; Graphing Ke Equations 1 Find Intercepts from an Equation MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. List the
More informationReview of Exponent Rules
Page Review of Eponent Rules Math : Unit Radical and Rational Functions Rule : Multipling Powers With the Same Base Multipl Coefficients, Add Eponents. h h h. ( )( ). (6 )(6 ). (m n )(m n ). ( 8ab)( a
More information6.5 Work and Fluid Forces
6.5 Work and Fluid Forces Work Work=Force Distance Work Work=Force Distance Units Force Distance Work Newton meter Joule (J) pound foot foot-pound (ft lb) Work Work=Force Distance Units Force Distance
More informationMath 101 Chapter Four Practice Exam Questions SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 101 Chapter Four Practice Eam Questions SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. What is the domain of f()? What is its range? 1) f() = 1-1
More informationStudent Exploration: Inclined Plane Sliding Objects
Name: Date: Student Exploration: Inclined Plane Sliding Objects Vocabulary: acceleration, coefficient of friction, conservation of energy, friction, gravitational potential energy, inclined plane, kinetic
More informationGraphs of Rational Functions. 386 Chapter 7 Linear Models and Graphs of Nonlinear Models Equation of ellipse ab
Chapter 7 Linear Models and Graphs of Nonlinear Models. Equation of ellipse or.9 7.9 7 feet 7..9 ab.9 ab a b A ab 9 ab 9 a a a a 9 a a 9 a a a b a b b a 9. The four tpes of conics are circles, parabolas,
More informationThen, Lagrange s interpolation formula is. 2. What is the Lagrange s interpolation formula to find, if three sets of values. are given.
SRI RAMAKRISHNA INSTITUTE OF TECHNOLOGY, COIMBATORE- 10 DEPARTMENT OF SCIENCE AND HUMANITIES SUBJECT NUMERICAL METHODS & LINEAR PROGRAMMING ( SEMESTER IV ) IV- INTERPOLATION, NUMERICAL DIFFERENTIATION
More informationChapter 7: Potential energy and energy conservation
Chapter 7: Potential energy and energy conservation Two types of Potential energy gravitational and elastic potential energy Conservation of total mechanical energy When What: Kinetic energy+potential
More informationEBG # 3 Using Gaussian Elimination (Echelon Form) Gaussian Elimination: 0s below the main diagonal
EBG # 3 Using Gaussian Elimination (Echelon Form) Gaussian Elimination: 0s below the main diagonal [ x y Augmented matrix: 1 1 17 4 2 48 (Replacement) Replace a row by the sum of itself and a multiple
More informationFAIRFIELD COUNTY MATH LEAGUE (FCML) Match 4 Round 1 Arithmetic: Basic Statistics
Match 4 Round 1 Arithmetic: Basic Statistics 1.) 6.4.) 14706.) 85 1.)The geometric mean of the numbers x 1, x, x n is defined to be n x 1 x...x n. What is the positive difference between the arithmetic
More informationDivide and simplify. Assume that all variables are positive. Rationalize the denominator of the expression if necessary. pg.
Spring 011 Final Exam Review Show all work and answers on SEPARATE PAPER The review for the final must be completed b the date of the original final exam in order to be eligible for a reassessment in the
More informationProportionality Proportionality. Direct proportion. Stretch objectives. Check-in questions. y = k x
lesson: Proportionalit 13Stretch Stretch objectives Before ou start this chapter, mark how confident ou feel about each of the statements below: I can set up and use equations to solve problems involving
More informationSolve the equation for the specified variable. Use the distributive property to factor as necessary. 2) -9s + 8p = tp - 8 for p
College Readiness Math Final Eam Review Sheet Solve the equation. 1) r + 6 = r + 8 3 6 Solve the equation for the specified variable. Use the distributive propert to factor as necessar. 2) -9s + 8p = tp
More informationIdentify the domain and the range of the relation from the graph. 8)
INTERMEDIATE ALGEBRA REVIEW FOR TEST Use the given conditions to write an equation for the line. 1) a) Passing through (, -) and parallel to = - +. b) Passing through (, 7) and parallel to - 3 = 10 c)
More informationPrime Factorization and GCF. In my own words
Warm- up Problem What is a prime number? A PRIME number is an INTEGER greater than 1 with EXACTLY 2 positive factors, 1 and the number ITSELF. Examples of prime numbers: 2, 3, 5, 7 What is a composite
More informationa 2 x y 1 x 1 y SOL AII.1a
SOL AII.a The student, given rational, radical, or polnomial epressions, will a) add, subtract, multipl, divide, and simplif rational algebraic epressions; Hints and Notes Rules for fractions: ) Alwas
More informationEAST LOS ANGELES COLLEGE
EAST LOS ANGELES COLLEGE NAME: MATHEMATICS FINAL EXAM SAMPLE INSTRUCTOR: ANNE SISWANTO; TIME: 10 MINUTES --------------------------------------------------------------------------------------------------------------------------
More informationReady To Go On? Skills Intervention 12-1 Inverse Variation
12A Find this vocabular word in Lesson 12-1 and the Multilingual Glossar. Identifing Inverse Variation Tell whether the relationship is an inverse variation. Eplain. A. Read To Go On? Skills Intervention
More informationSolutions for homework 1. 1 Introduction to Differential Equations
Solutions for homework 1 1 Introduction to Differential Equations 1.1 Differential Equation Models The phrase y is proportional to x implies that y is related to x via the equation y = kx, where k is a
More informationVariation. direct variation. Modelling of given nonlinear data using the k, where k is a
7 7A Direct variation 7B Further direct variation 7C Inverse variation 7D Further inverse variation 7E Joint variation 7F Part variation 7G Transformation of data Variation areas of study Numerical, graphical
More informationJoint ] X 5) P[ 6) P[ (, ) = y 2. x 1. , y. , ( x, y ) 2, (
Two-dimensional Random Vectors Joint Cumulative Distrib bution Functio n F, (, ) P[ and ] Properties: ) F, (, ) = ) F, 3) F, F 4), (, ) = F 5) P[ < 6) P[ < (, ) is a non-decreasing unction (, ) = F ( ),,,
More informationStudent Exploration: Direct and Inverse Variation
Name: Date: Class Period: Student Eploration: Direct and Inverse Variation Vocabular: constant of proportionalit, direct variation, inverse variation Overview:. Michelle makes $0 an hour babsitting. A.
More informationOrbiting Satellites and Free-Fall Elevators
Orbiting Satellites and Free-Fall Elevators Paul Robinson San Mateo High School pablo@laserpablo.com www.laserpablo.com Dig deep... Suppose you could bore a tunnel through the center of the earth. Further
More informationMath 2 Homework: Final Review
Math Homework: Final Review [Directions: With our group members race against the clock and other teams to correctl answer the given questions in each round. Your team will have two attempts to correctl
More informationFormulae 1C. FORMULAE 25
1C. FORMULAE 5 1c Formulae The formulae of science usually contain variable letters other than the variable x. Indeed, formulae in science typically use several letters. Take for example, Isaac Newton
More informationChapter 6 Work and Energy
Chapter 6 Work and Energy Units of Chapter 6 Work Done by a Constant Force Work Done by a Varying Force Kinetic Energy, and the Work-Energy Principle Potential Energy Conservative and Nonconservative Forces
More informationChapter 12 Gravity. Copyright 2010 Pearson Education, Inc.
Chapter 12 Gravity Units of Chapter 12 Newton s Law of Universal Gravitation Gravitational Attraction of Spherical Bodies Kepler s Laws of Orbital Motion Gravitational Potential Energy Energy Conservation
More informationMechanics 3. Dimensions and Units
Chapter Assessment Mechanics 3 Dimensions and Units. An attempt is made to model the force of air resistance against a bullet as it flies through the air. It is suggested that the resistance, R, is proportional
More informationRational Numbers and Exponents
Rational and Exponents Math 7 Topic 4 Math 7 Topic 5 Math 8 - Topic 1 4-2: Adding Integers 4-3: Adding Rational 4-4: Subtracting Integers 4-5: Subtracting Rational 4-6: Distance on a Number Line 5-1: Multiplying
More informationSolving differential equations (Sect. 7.4) Review: Overview of differential equations.
Solving differential equations (Sect. 7.4 Previous class: Overview of differential equations. Exponential growth. Separable differential equations. Review: Overview of differential equations. Definition
More information( ) = 200e! 1. ( x) = ( y) = ( x, y) = 1 20! 1 20 = 1
Krs Ostasewski http://www.math.ilstu.edu/krsio/ Author of the BTDT Manual for Course P/ available at http://smarturl.it/krsiop or http://smarturl.it/krsiope Instructor for online Course P/ seminar: http://smarturl.it/onlineactuar
More informationA645/A445: Exercise #1. The Kepler Problem
A645/A445: Exercise #1 The Kepler Problem Due: 2017 Sep 26 1 Numerical solution to the one-degree-of-freedom implicit equation The one-dimensional implicit solution is: t = t o + x x o 2(E U(x)). (1) The
More informationPhysics 221 Quiz 1 chapters 1 2, Form: A
Physics 221 Quiz 1 chapters 1 2, Form: A Name: Date: G= 6.67 10 11 N m 2 /kg 2 c= 3 10 8 m/s M earth = 6.0 10 24 kg R earth = 6.38 10 6 m 1. The NFL football season began last night with a game between
More informationUnit 5 Circular Motion and Gravitation
Unit 5 Circular Motion and Gravitation In the game of tetherball, the struck ball whirls around a pole. In what direction does the net force on the ball point? 1) Tetherball 1) toward the top of the pole
More informationMITOCW MIT8_01F16_L12v01_360p
MITOCW MIT8_01F16_L12v01_360p Let's look at a typical application of Newton's second law for a system of objects. So what I want to consider is a system of pulleys and masses. So I'll have a fixed surface
More informationSection 6.2 Differential Equations (Growth and Decay)
Section 6. Differential Equations (Growth and Deca) Reminder: Directl Proportional Two quantities are said to be in direct proportion (or directl proportional, or simpl proportional), if one is a constant
More informationproblems 2.notebook February 03, 2016
What's my weight? Use Universal Gravitation formula 1 What's my weight? r e Centripetal force needed to keep me on earth? 2 Centripetal force needed to keep me on earth? Centripetal force needed to keep
More informationMath Released Item Algebra 1. System of Inequalities VF648815
Math Released Item 2016 Algebra 1 System of Inequalities VF648815 Prompt Rubric Task is worth a total of 3 points. VF648815 Rubric Part A Score Description 1 Student response includes the following element.
More informationi-clicker i-clicker Newton s Laws of Motion First Exam Coming Up! Components of Equation of Motion
First Eam Cming Up! Sunda, 1 Octber 6:10 7:30 PM. Lcatins t be psted nline. Yes this is a Sunda! There will be 17 questins n eam. If u have a legitimate cnflict, u must ask Prf. Shapir b Oct. 8 fr permissin
More informationd = k where k is a constant of proportionality equal to the gradient.
VARIATION In Physics and Chemistry there are many laws where one quantity varies in some way with another quantity. We will be studying three types of variation direct, inverse and joint.. DIRECT VARIATION
More informationPhysics 2414 Group Exercise 8. Conservation of Energy
Physics 244 Group Exercise 8 Name : OUID : Name 2: OUID 2: Name 3: OUID 3: Name 4: OUID 4: Section Number: Solutions Solutions Conservation of Energy A mass m moves from point i to point f under the action
More information20 points Completion 20 points - Accuracy
Algebra II Final Eam REVIEW 015 Name 0 points Completion 0 points - Accurac The eam review will be graded on completion (0 points) and randoml selected problems answered correctl with accurate work shown
More informationTwo-dimensional Random Vectors
1 Two-dimensional Random Vectors Joint Cumulative Distribution Function (joint cd) [ ] F, ( x, ) P xand Properties: 1) F, (, ) = 1 ),, F (, ) = F ( x, ) = 0 3) F, ( x, ) is a non-decreasing unction 4)
More informationContents. Useful formulae. iv Glossary
Contents Useful formulae iv Glossar v Unit 1 Histograms with equal class widths Get started 1 1 Drawing histograms with equal class widths Estimating the mean from a histogram 4 Practise the methods 6
More informationa 2 x y 1 y SOL AII.1a
SOL AII.a The student, given rational, radical, or polnomial epressions, will a) add, subtract, multipl, divide, and simplif rational algebraic epressions; Hints and Notes Rules for fractions: ) Alwas
More informationHomework 1 Due: Name. List the intercepts of the graph. 1) List the intercepts for the graph of the equation. 2) y2 = x + 1 2) 3) x2 + y - 9 = 0 3)
Berkele Cit College Homework 1 Due: Precalculus w/ Analtic Geometr - Math 2 - Chapters 1-2 (half) Name List the intercepts of the graph. 1) 1) - - - - Objective: (1.2) Find Intercepts from a Graph List
More informationAntiderivatives and Indefinite Integrals
Antiderivatives and Indefinite Integrals MATH 151 Calculus for Management J. Robert Buchanan Department of Mathematics Fall 2018 Objectives After completing this lesson we will be able to use the definition
More informationCHAPTER 5. Jointly Probability Mass Function for Two Discrete Distributed Random Variables:
CHAPTER 5 Jointl Distributed Random Variable There are some situations that experiment contains more than one variable and researcher interested in to stud joint behavior of several variables at the same
More informationOrbits. Objectives. Orbits and unbalanced forces. Equations 4/7/14
Orbits Objectives Describe and calculate how the magnitude of the gravitational force between two objects depends on their masses and the distance between their centers. Analyze and describe orbital circular
More informationChill Out: How Hot Objects Cool
Chill Out: How Hot Objects Cool Activity 17 When you have a hot drink, you know that it gradually cools off. Newton s law of cooling provides us with a model for cooling. It states that the temperature
More information4.1 Inverse Variation Models
4.1. Inverse Variation Models www.ck1.org 4.1 Inverse Variation Models Learning Objectives Distinguish direct and inverse variation. Graph inverse variation equations. Write inverse variation equations.
More informationGraphing. y m = cx n (3) where c is constant. What was true about Equation 2 is applicable here; the ratio. y m x n. = c
Graphing Theory At its most basic, physics is nothing more than the mathematical relationships that have been found to exist between different physical quantities. It is important that you be able to identify
More informationCRASH COURSE PHYSICS EPISODE #1: Universal gravitation
CRASH COURSE PHYSICS EPISODE #1: Universal gravitation No one (including me) really seems to understand physics when Bordak teaches so I decided to translate all the Universal Gravitation stuff to plain
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. B) x y =
Santa Monica College Practicing College Algebra MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the standard equation for the circle. 1) Center
More informationSkills Practice Skills Practice for Lesson 3.1
Skills Practice Skills Practice for Lesson. Name Date Lots and Projectiles Introduction to Quadratic Functions Vocabular Define each term in our own words.. quadratic function. vertical motion Problem
More informationAstron 104 Laboratory #4 Gravity and Orbital Motion
Name: Date: Section: Astron 104 Laboratory #4 Gravity and Orbital Motion Section 5.5, 5.6 Introduction No astronomical object can stand still gravity makes certain of this. Newton s Law of Universal Gravitation
More informationMath Intermediate Algebra
Math 095 - Intermediate Algebra Final Eam Review Objective 1: Determine whether a relation is a function. Given a graphical, tabular, or algebraic representation for a function, evaluate the function and
More informationChapter 9 Global Nonlinear Techniques
Chapter 9 Global Nonlinear Techniques Consider nonlinear dynamical system 0 Nullcline X 0 = F (X) = B @ f 1 (X) f 2 (X). f n (X) x j nullcline = fx : f j (X) = 0g equilibrium solutions = intersection of
More informationPHYSICS 231 Lecture 14: revision
PHYSICS 231 Lecture 14: revision missing ID s 129020 151313 130786 128820 152180 152183 Remco Zegers Walk-in hour: Monday 9:15-10:15 am Helproom BPS 1248 1 Chapter 4: Newton s Laws First Law: If the net
More informationTopic 10: Fields - AHL 10.1 Describing fields
Topic 10.1 is an extension of Topics 5.1 and 6.2. Essential idea: Electric charges and masses each influence the space around them and that influence can be represented through the concept of fields. Nature
More informationAlgebra I Notes Direct Variation Unit 04e
OBJECTIVES: F.IF.B.4 Interpret functions that arise in applications in terms of the contet. For a function that models a relationship between two quantities, interpret ke features of graphs and tables
More informationThe semester B examination for Algebra 2 will consist of two parts. Part 1 will be selected response. Part 2 will be short answer.
ALGEBRA B Semester Em Review The semester B emintion for Algebr will consist of two prts. Prt will be selected response. Prt will be short nswer. Students m use clcultor. If clcultor is used to find points
More informationChapter 8 continued. Rotational Dynamics
Chapter 8 continued Rotational Dynamics 8.6 The Action of Forces and Torques on Rigid Objects Chapter 8 developed the concepts of angular motion. θ : angles and radian measure for angular variables ω :
More information