Record your answers to all the problems in the EMCF titled Homework 11.
|
|
|
- Shannon Hamilton
- 5 years ago
- Views:
Transcription
1 Math 1311 Homework 11 (Section 6.1- Section 6.5) Record your answers to all the problems in the EMCF titled Homework A car is driving at a constant velocity of 74 miles per hour. A perspective has been chosen so that directed distance is increasing. Since the velocity is constant, we know that directed distance is a linear function. What is the slope of that linear function? a. 74 miles per hour b. 37 miles per hour c. -74 miles per hour d. -37 miles per hour 2. The price P of gasoline increases to a maximum and then stays at a fixed price. What is the rate of change dp and how is it changing at the time when the price reaches a maximum? a. dp is negative at the maximum and is decreasing. b. dp is equal to zero at the maximum and remains the same. c. dp is positive at the maximum and is decreasing. d. dp is negative at the maximum and is increasing. 3. What is rate of change in directed distance? a. Speed b. Acceleration c. Velocity d. Displacement 4. When the graph of directed distance is decreasing, is the graph of velocity above or below the horizontal axis? a. Below the Horizontal Axis b. Above the Horizontal Axis c. At the Horizontal Axis
2 5. A graph of directed distance reaches a maximum. What is the velocity there? a. Positive b. Negative c. Zero 6. A car is driving at a constant velocity of 60 miles per hour. A perspective has been chosen so that directed distance is increasing. Since velocity is constant, we know that the directed distance is a linear function. What is the slope of that linear function? a. 40 miles per hour b. 50 miles per hour c. 60 miles per hour d. 70 miles per hour 7. If from ground level we toss a rock upward with a velocity of 30 feet per second, we can use elementary physics to show that the height in feet of the rock above the ground t seconds after the toss is given by S = 30t 16t 2. How high does the rock go? a b c d If from ground level we toss a rock upward with a velocity of 30 feet per second, we can use elementary physics to show that the height in feet of the rock above the ground t seconds after the toss is given by S = 30t 16t 2. When does the rock strike the ground? a seconds after it is tossed b seconds after it is tossed c seconds after it is tossed d seconds after it is tossed
3 9. The following table shows the cumulative number of cases of SARS (severe acute respiratory syndrome) on selected days during the outbreak in Here t is time in days since the beginning of April and N is the cumulative number of cases reported by time t. t N Approximate the value of dn a cases per day b cases per day c cases per day d cases per day at t=19 using the average rate of change from t=19 to t= If df has a constant value of 10, we know that f is a linear function. What is the slope of f? a. 10 b. 20 c. 30 d Suppose f = f(x) satisfiesf(3) = 8 and f(3.005) = Estimate the value of df at x=3. a b c d By direct calculation, estimate the value of df a b c d for f(x) = x2 at x=4. Use an increment of
4 13. If f satisfies the equation of change df = 5, then f is a linear function. What is the slope of f? a. 5 b. 6 c. 7 d The water level in a tank rises 4 feet every minute. Write an equation of change that describes the height H, in feet, of the water level at time t in minutes. a. dh = 3 b. dh = 4 c. dh = 5 d. dh = A balloon leaks air (changes in volume) at a rate of one-third the volume per minute. Write an equation of change that describes the volume V of air in balloon at time t in minutes. a. dv = 1 V 3 b. dv = 1 4 V c. dv = 1 5 V d. dv = 1 6 V 16. What is the common mathematical term for an equation of change? a. Constant Equation b. Differential Equation c. Irrational Equation
5 17. Solve the equation of change df = 3 if the initial value of f is 7. a. f = 4x + 8 b. f = 3x + 7 c. f = 2x + 6 d. f = x Find an equilibrium solution df = 2f 6. a. f = 2 b. f = 3 c. f = 4 d. f = Water flows into a tank, and a certain part of it drains out through a valve. The volume v in cubic feet of water in the tank at time t satisfies the equation dv = 5 (v ). If the 3 process continues for a long time, how much water will be in the tank? a. 13 cubic feet b. 14 cubic feet c. 15 cubic feet d. 16 cubic feet 20. For the equation of change df = 5f 7, determine whether f is increasing or decreasing when f = 1. a. Increasing b. Decreasing c. Stays the same
Math 113 Final Exam Practice Problem Solutions. f(x) = ln x x. lim. lim. x x = lim. = lim 2
Math 3 Final Eam Practice Problem Solutions. What are the domain and range of the function f() = ln? Answer: is only defined for, and ln is only defined for >. Hence, the domain of the function is >. Notice
Math 2250 Final Exam Practice Problem Solutions. f(x) = ln x x. 1 x. lim. lim. x x = lim. = lim 2
Math 5 Final Eam Practice Problem Solutions. What are the domain and range of the function f() = ln? Answer: is only defined for, and ln is only defined for >. Hence, the domain of the function is >. Notice
SOLUTIONS TO EXAM 2, MATH 10550
SOLUTIONS TO EXAM 2, MATH 0550. Find the critical numbers of f(x) = 6 x2 x /3. We have f (x) = 3 x 3 x 2/3 = [ x 5/3 ] 3 x 2/3. So x = 0 is a critical point. For x 0, the equation f (x) = 0 can be written
Multiple Choice Review Problems
Multiple Choice Review Problems 1. (NC) Which graph best represents the position of a particle, st ( ), as a function of time, if the particle's velocity is negative and the particle's acceleration is
VELOCITY. If you have a graph of position and you take the derivative, what would the derivative represent? Position. Time
VELOCITY If you have a graph of position and you take the derivative, what would the derivative represent? Position Time Average rate of Change What is the average rate of change of temperature over the
Math 1311 Section 5.5 Polynomials and Rational Functions
Math 1311 Section 5.5 Polynomials and Rational Functions In addition to linear, exponential, logarithmic, and power functions, many other types of functions occur in mathematics and its applications. In
APPLICATIONS OF DIFFERENTIATION
4 APPLICATIONS OF DIFFERENTIATION APPLICATIONS OF DIFFERENTIATION 4.9 Antiderivatives In this section, we will learn about: Antiderivatives and how they are useful in solving certain scientific problems.
MTH 103 Group Activity Problems (W1B) Name: Types of Functions and Their Rates of Change Section 1.4 part 1 (due April 6)
MTH 103 Group Activity Problems (W1B) Name: Types of Functions and Their Rates of Change Section 1.4 part 1 (due April 6) Learning Objectives Identify linear and nonlinear functions Interpret slope as
MA 1135 Practice Test III (answers on last page) Tuesday, April 16, 2013
MA 35 Practice Test III (answers on last page) Tuesday, April 6, 203 Name Note: Test III is Thursday (4/8/3). Big Note: Bring your calculators, no computers for this test. I m going to restrict you to
Math 147 Exam II Practice Problems
Math 147 Exam II Practice Problems This review should not be used as your sole source for preparation for the exam. You should also re-work all examples given in lecture, all homework problems, all lab
2) s - 6t - t 2, [0,6]
![2) s - 6t - t 2, [0,6]](/thumbs/78/77331184.jpg "2) s - 6t - t 2, [0,6]")
For - 4) Give the positions s = f(t) of a bo moving on a coordinate line, with s in meters and t in seconds (a) Find the bo's displacement and average velocity for the given time interval (b) Fine the
Math 1314 Lesson 7 Applications of the Derivative. rate of change, instantaneous rate of change, velocity, => the derivative
Math 1314 Lesson 7 Applications of the Derivative In word problems, whenever it s anything about a: rate of change, instantaneous rate of change, velocity, => the derivative average rate of change, difference
APPLICATIONS OF DERIVATIVES UNIT PROBLEM SETS
APPLICATIONS OF DERIVATIVES UNIT PROBLEM SETS PROBLEM SET #1 Related Rates ***Calculators Allowed*** 1. An oil tanker spills oil that spreads in a circular pattern whose radius increases at the rate of
Unit 1 Test Review Physics Basics, Movement, and Vectors Chapters 2-3
A.P. Physics B Unit 1 Test Review Physics Basics, Movement, and Vectors Chapters - 3 * In studying for your test, make sure to study this review sheet along with your quizzes and homework assignments.
Math 1314 Lesson 7 Applications of the Derivative
Math 1314 Lesson 7 Applications of the Derivative Recall from Lesson 6 that the derivative gives a formula for finding the slope of the tangent line to a function at any point on that function. Example
Chapter 7 Linear Equations and Graphs 7.1 Slope-Intercept Form 1. a) m = 1, y-intercept: 2
Chapter 7 Linear Equations and Graphs 7.1 Slope-Intercept Form 1. a) m, -intercept: b) m =, -intercept: c) m, -intercept: d) m =.7, -intercept:.. a) + = 7 = + 7 m = 1, -intercept: 7 b) + + = + 1 m =, -intercept:
Basic Applications. Equations of Tangent Lines
Math 1314 Some Applications of the Derivative Basic Applications Equations of Tangent Lines The first applications of the derivative involve finding the slope of the tangent line and writing equations
Algebra I. Midterm Review
Algebra I Midterm Review Class: Date: Algebra 1 Midterm Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1 Use the vertical-line test to determine which
Math 103 Selected Homework Solutions, Section 3.9
Math 103 Selected Homework Solutions, Section 3.9 9. Let s be the distance from the base of the light pole to the top of the man s shadow, and the distance from the light pole to the man. 15 s 6 s We know:
Section 3.1 Homework Solutions. 1. y = 5, so dy dx = y = 3x, so dy dx = y = x 12, so dy. dx = 12x11. dx = 12x 13
Math 122 1. y = 5, so dx = 0 2. y = 3x, so dx = 3 3. y = x 12, so dx = 12x11 4. y = x 12, so dx = 12x 13 5. y = x 4/3, so dx = 4 3 x1/3 6. y = 8t 3, so = 24t2 7. y = 3t 4 2t 2, so = 12t3 4t 8. y = 5x +
2.1 The Tangent and Velocity Problems
2.1 The Tangent and Velocity Problems Tangents What is a tangent? Tangent lines and Secant lines Estimating slopes from discrete data: Example: 1. A tank holds 1000 gallons of water, which drains from
Chapter 2 THE DERIVATIVE
Chapter 2 THE DERIVATIVE 2.1 Two Problems with One Theme Tangent Line (Euclid) A tangent is a line touching a curve at just one point. - Euclid (323 285 BC) Tangent Line (Archimedes) A tangent to a curve
*Finding the tangent line at a point P boils down to finding the slope of the tangent line at point P.
The Derivative & Tangent Line Problem *Finding the tangent line at a point P boils down to finding the slope of the tangent line at point P. 1 The Derivative & Tangent Line Problem We can approximate using
AP Calculus AB Chapter 4 Packet Implicit Differentiation. 4.5: Implicit Functions
4.5: Implicit Functions We can employ implicit differentiation when an equation that defines a function is so complicated that we cannot use an explicit rule to find the derivative. EXAMPLE 1: Find dy
AP Calculus AB Semester 1 Practice Final
Class: Date: AP Calculus AB Semester 1 Practice Final Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the limit (if it exists). lim x x + 4 x a. 6
AP Calculus BC Summer Assignment (June)
AP Calculus BC Summer Assignment (June) Solve each problem on a separate sheet of paper as if they are open ended AP problems. This means you must include all justifications necessary as on the AP AB exam.
Unit 1 Parent Guide: Kinematics
Unit 1 Parent Guide: Kinematics Kinematics is the study of the motion of objects. Scientists can represent this information in the following ways: written and verbal descriptions, mathematically (with
A. 1 B. 2 C. 4.5 D. 7 E. 8
Calculus & Advanced Topics Spring 2011 1. The derivative of x 2 cos(x) is 2x sin(x) x 2 sin(x) 2x cos(x) x 2 sin(x) 2x sin(x) 2x cos(x) 2. 1 2 4.5 7 8 3. 0 1 6/5 3/2 undefined 4. Find the derivative of
Pre-Calculus Section 12.4: Tangent Lines and Derivatives 1. Determine the interval on which the function in the graph below is decreasing.
Pre-Calculus Section 12.4: Tangent Lines and Derivatives 1. Determine the interval on which the function in the graph below is decreasing. Determine the average rate of change for the function between
E 2320 = 0, to 3-decimals, find the average change in
Name Date Period Worksheet 2.5 Rates of Change and Particle Motion I Show all work. No calculator unless otherwise stated. Short Answer 1. Let E( x) be the elevation, in feet, of the Mississippi River
An object is launched straight upward so that its height, h, is a function of time, t, with
WebAssign Lesson 13-3 Applications (Homework) Current Score : / 18 Due : Wednesday, April 30 2014 09:00 AM MDT Shari Dorsey Sp 14 Math 170, section 003, Spring 2014 Instructor: Shari Dorsey 1. /1 points
p105 Section 2.2: Basic Differentiation Rules and Rates of Change
1 2 3 4 p105 Section 2.2: Basic Differentiation Rules and Rates of Change Find the derivative of a function using the Constant Rule Find the derivative of a function using the Power Rule Find the derivative
Math 1311 Homework 9 (Section 5.1- Section 5.2) Record your answers to all the problems in the EMCF titled Homework 9.
Math 3 Homework 9 (Section 5.- Section 5.2) Record your answers to all the problems in the EMCF titled Homework 9.. 794 Suppose a renewable population grows logistically according to N 0.02t 3e to the
MA 123 Calculus I Midterm II Practice Exam Answer Key
MA 1 Midterm II Practice Eam Note: Be aware that there may be more than one method to solving any one question. Keep in mind that the beauty in math is that you can often obtain the same answer from more
Essentials. Week by. Week. Algebra Alley
Week by Week MATHEMATICS Essentials 8 David has three times as many football cards as hockey cards, five times as many basketball cards as hockey cards and four times as many baseball cards as football
Chapter 1. Functions and Graphs. 1.5 More on Slope
Chapter 1 Functions and Graphs 1.5 More on Slope 1/21 Chapter 1 Homework 1.5 p200 2, 4, 6, 8, 12, 14, 16, 18, 22, 24, 26, 29, 30, 32, 46, 48 2/21 Chapter 1 Objectives Find slopes and equations of parallel
1 Antiderivatives graphically and numerically
Math B - Calculus by Hughes-Hallett, et al. Chapter 6 - Constructing antiderivatives Prepared by Jason Gaddis Antiderivatives graphically and numerically Definition.. The antiderivative of a function f
Chapter 8: Radical Functions
Chapter 8: Radical Functions Chapter 8 Overview: Types and Traits of Radical Functions Vocabulary:. Radical (Irrational) Function an epression whose general equation contains a root of a variable and possibly
College Calculus Final Review
College Calculus Final Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Determine the following limit. (Hint: Use the graph to calculate the limit.)
+ 2 on the interval [-1,3]
![+ 2 on the interval [-1,3]](/thumbs/89/98527152.jpg "+ 2 on the interval [-1,3]")
Section.1 Etrema on an Interval 1. Understand the definition of etrema of a function on an interval.. Understand the definition of relative etrema of a function on an open interval.. Find etrema on a closed
Math 2413 t2rsu14. Name: 06/06/ Find the derivative of the following function using the limiting process.
Name: 06/06/014 Math 413 trsu14 1. Find the derivative of the following function using the limiting process. f( x) = 4x + 5x. Find the derivative of the following function using the limiting process. f(
Review Sheet for Second Midterm Mathematics 1300, Calculus 1
Review Sheet for Second Midterm Mathematics 300, Calculus. For what values of is the graph of y = 5 5 both increasing and concave up? >. 2. Where does the tangent line to y = 2 through (0, ) intersect
m2413c2 the limiting process. 4. Use the alternative form of the derivative to find the derivative of the function at. a. b. c. d. e.
m2413c2 Multiple Choice Identify the choice that best completes the statement or answers the question 1 Find the derivative of the following function using the limiting process 2 Find the derivative of
Math 131. Rolle s and Mean Value Theorems Larson Section 3.2
Math 3. Rolle s and Mean Value Theorems Larson Section 3. Many mathematicians refer to the Mean Value theorem as one of the if not the most important theorems in mathematics. Rolle s Theorem. Suppose f
Math 217 Practice Exam 1. Page Which of the following differential equations is exact?
Page 1 1. Which of the following differential equations is exact? (a) (3x x 3 )dx + (3x 3x 2 ) d = 0 (b) sin(x) dx + cos(x) d = 0 (c) x 2 x 2 = 0 (d) (1 + e x ) + (2 + xe x ) d = 0 CORRECT dx (e) e x dx
Apply & Practice 3.5 Set 1: P #3-18 (mult. of 3); 19 #21 write explicit #27-33 (mult. of 3) point #39-40 eqn tang line from graph
Ch 0 Homework Complete Solutions V Part : S. Stirling Calculus: Earl Transcendental Functions, 4e Larson WATCH for the product rule and the chain rule. If the order that our terms are in differ from the
A. VOCABULARY REVIEWS On the line, write the term that correctly completes each statement. Use each term once.
PART III. KINEMATICS A. VOCABULARY REVIEWS On the line, write the term that correctly completes each statement. Use each term once. 1. rise (Δy) The vertical separation of any two points on a curve is
This Week. Basic Problem. Instantaneous Rate of Change. Compute the tangent line to the curve y = f (x) at x = a.
This Week Basic Problem Compute the tangent line to the curve y = f (x) at x = a. Read Sections 2.7,2.8 and 3.1 in Stewart Homework #2 due 11:30 Thursday evening worksheet #3 in section on Tuesday slope
9. (1 pt) Chap2/2 3.pg DO NOT USE THE DEFINITION OF DERIVATIVES!! If. find f (x).
math0spring0-6 WeBWorK assignment number 3 is due : 03/04/0 at 0:00pm MST some kind of mistake Usually you can attempt a problem as many times as you want before the due date However, if you are help Don
8th Grade Common Core Math
8th Grade Common Core Math Booklet 5 Functions Part 2 One of the Main Idea of Functions: Use functions to model relationships between quantities What are functions? Functions are like machines. You give
AP Calculus BC Class Starter January 22, 2018
January 22, 2018 1. Given the function, find the following. (a) Evaluate f(4). (b) The definition of the derivative can be written two ways, as indicated below. Find both forms and evaluate the derivative
Measuring Motion. Day 1
Measuring Motion Day 1 Objectives I will identify the relationship between motion and a reference point I will identify the two factors that speed depends on I will determine the difference between speed
Calculus Test Chapter 5 You can use a calculator on all of the test. Each multiple choice & each part of the free response is worth 5 points.
Calculus Test 2013- Chapter 5 Name You can use a calculator on all of the test. Each multiple choice & each part of the free response is worth 5 points. 1. A bug begins to crawl up a vertical wire at time
AP Physics C: Mechanics Ch. 2 Motion. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Name: Period: Date: AP Physics C: Mechanics Ch. Motion SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. ) Car A is traveling at twice the speed of car
RECAP!! Paul is a safe driver who always drives the speed limit. Here is a record of his driving on a straight road. Time (s)
RECAP!! What is uniform motion? > Motion in a straight line > Moving at a constant speed Yes or No? Yes or No? Paul is a safe driver who always drives the speed limit. Here is a record of his driving on
Section 3.8 Related Rates
Section 3.8 Related Rates Read and re-read the problem until you understand it. Draw and label a picture which gives the relevant information (if possible). Introduce notation. Assign a symbol to every
Math 1010 Lesson 1-4 (Textbook 1.7 and 1.8) Different equations of Lines
Math 00 Lesson -4 (Textbook.7 and.8) Different equations of Lines. slope intercept form = mx + b. standard form Ax + B = C m x x 3. point slope form ( ) Which one we use depends on what information is
Mesa Public Schools. Q3 practice test. Assessment Summary: Powered by SchoolCity Inc. Page 1 of 44
Mesa Public Schools Assessment Summary: Q3 practice test Powered by SchoolCity Inc. www.schoolcity.com Page 1 of 44 Assessment Summary: Q3 practice test Year: 2016-2017 Subject: Math Total Items: 43 Total
(b) x = (d) x = (b) x = e (d) x = e4 2 ln(3) 2 x x. is. (b) 2 x, x 0. (d) x 2, x 0
1. Solve the equation 3 4x+5 = 6 for x. ln(6)/ ln(3) 5 (a) x = 4 ln(3) ln(6)/ ln(3) 5 (c) x = 4 ln(3)/ ln(6) 5 (e) x = 4. Solve the equation e x 1 = 1 for x. (b) x = (d) x = ln(5)/ ln(3) 6 4 ln(6) 5/ ln(3)
Section 5.1. Areas and Distances. (1) The Area Problem (2) The Distance Problem (3) Summation Notation
Section 5.1 Areas and Distances (1) The Area Problem (2) The Distance Problem (3) Summation Notation MATH 125 (Section 5.1) Areas and Distances The University of Kansas 1 / 19 Area Area is a measure of
Implicit Differentiation
Implicit Differentiation Much of our algebraic study of mathematics has dealt with functions. In pre-calculus, we talked about two different types of equations that relate x and y explicit and implicit.
Math 1131Q Section 10
Math 1131Q Section 10 Section 3.9 and 3.10 Oct 19, 2010 Find the derivative of ln 3 5 e 2 ln 3 5 e 2 = ln 3 + ln 5/2 + ln e 2 = 3 ln + ( 5 ) ln + 2 2 (ln 3 5 e 2 ) = 3 + 5 2 + 2 Find the derivative of
Elementary Algebra. Toby Wagner. Math 70 Spring 2018 Corrections
Corrections are listed by section then page number. There is a small description of the mistake followed by the correct text highlighted in yellow. Wagner Elementary Algebra aff, f this Math 70 Spring
Determine whether the lines through each pair of points are parallel, perpendicular, or neither. 5) (3, -10) and (-17, -2); (-8, 9) and (-4, -1)
MATH 30/GRACEY 3.4-4.1 Name Determine whether the lines through each pair of points are parallel. 1) (2, 4) and (-14, -14); (6, ) and (-2, -4) 2) (, -7) and (2, 7); (8, -6) and (12, 1) Determine whether
1. The graph of a quadratic function is shown. Each square is one unit.
1. The graph of a quadratic function is shown. Each square is one unit. a. What is the vertex of the function? b. If the lead coefficient (the value of a) is 1, write the formula for the function in vertex
Name Class Date. Inverse of Function. Understanding Inverses of Functions
Name Class Date. Inverses of Functions Essential Question: What is an inverse function, and how do ou know it s an inverse function? A..B Graph and write the inverse of a function using notation such as
MAT 210 TEST 2 REVIEW (Ch 12 and 13)
Class: Date: MAT 0 TEST REVIEW (Ch and ) Multiple Choice Identify the choice that best completes the statement or answers the question.. The population P is currently 0,000 and growing at a rate of 7,000
Average rates of change May be used to estimate the derivative at a point
Derivatives Big Ideas Rule of Four: Numerically, Graphically, Analytically, and Verbally Average rate of Change: Difference Quotient: y x f( a+ h) f( a) f( a) f( a h) f( a+ h) f( a h) h h h Average rates
One Dimensional Motion (Motion in a Straight Line)
One Dimensional Motion (Motion in a Straight Line) Chapter MOTION QUANTITIES 1 Kinematics - Intro Mechanics generally consists of two parts: Kinematics and Dynamics. Mechanics Kinematics Description of
Math 308 Exam I Practice Problems
Math 308 Exam I Practice Problems This review should not be used as your sole source for preparation for the exam. You should also re-work all examples given in lecture and all suggested homework problems..
Benchmark Prep. h a. h = 5 c. h = 3 b. h = 3 d. h = 1. w a. w = 15 c. w = 15 b. w = 3 d. w = 21. Name: Class: Date: Solve the equation.
Class: Date: Benchmark Prep Solve the equation. 1. 2 b 3 a. b = 1 c. b = 5 b. b = 5 d. b = 1 2. s ( 20) 19 a. s = 39 c. s = 1 b. s = 39 d. s = 1 3. 2 7 = y 3 4 a. y = 29 28 b. y = 13 28 c. y = 29 28 d.
(MATH 1203, 1204, 1204R)
College Algebra (MATH 1203, 1204, 1204R) Departmental Review Problems For all questions that ask for an approximate answer, round to two decimal places (unless otherwise specified). The most closely related
Calculus 437 Semester 1 Review Chapters 1, 2, and 3 January 2016
Name: Class: Date: Calculus 437 Semester 1 Review Chapters 1, 2, and 3 January 2016 Short Answer 1. Decide whether the following problem can be solved using precalculus, or whether calculus is required.
Chapter 2. Motion along a Straight Line
Chapter 2 Motion along a Straight Line 1 2.1 Motion Everything in the universe, from atoms to galaxies, is in motion. A first step to study motion is to consider simplified cases. In this chapter we study
November 30, direct variation ink.notebook. page 162. page Direct Variation. page 163. page 164 page 165
4.6 direct variation ink.notebook page 161 page 162 4.6 Direct Variation page 163 page 164 page 165 1 Lesson Objectives Standards Lesson Notes Lesson Objectives Standards Lesson Notes 4.6 Direct Variation
Chapter 2 Section 2: Acceleration
Chapter 2 Section 2: Acceleration Motion Review Speed is the rate that an object s distance changes Distance is how far an object has travelled Speed = distance/time Velocity is rate that an object s displacement
Math 142 Week-in-Review #11 (Final Exam Review: All previous sections as well as sections 6.6 and 6.7)
Math 142 Week-in-Review #11 (Final Exam Review: All previous sections as well as sections 6.6 and 6.7) Note: This review is intended to highlight the topics covered on the Final Exam (with emphasis on
Particle Motion Problems
Particle Motion Problems Particle motion problems deal with particles that are moving along the x or y axis. Thus, we are speaking of horizontal or vertical movement. The position, velocity, or acceleration
MATH CALCULUS I 2.2: Differentiability, Graphs, and Higher Derivatives
MATH 12002 - CALCULUS I 2.2: Differentiability, Graphs, and Higher Derivatives Professor Donald L. White Department of Mathematical Sciences Kent State University D.L. White (Kent State University) 1 /
6-3 Rate of Change and Slope
6- Rate of Change and Slope MAIN IDEA Identify rate of change and slope using tables and graphs. New Vocabulary rate of change slope Math Online glencoe.com Extra Examples Personal Tutor Self-Check Quiz
Formative Assessment: Uniform Acceleration
Formative Assessment: Uniform Acceleration Name 1) A truck on a straight road starts from rest and accelerates at 3.0 m/s 2 until it reaches a speed of 24 m/s. Then the truck travels for 20 s at constant
1. Find A and B so that f x Axe Bx. has a local minimum of 6 when. x 2.
. Find A and B so that f Ae B has a local minimum of 6 when.. The graph below is the graph of f, the derivative of f; The domain of the derivative is 5 6. Note there is a cusp when =, a horizontal tangent
MAT 311 Midterm #1 Show your work! 1. The existence and uniqueness theorem says that, given a point (x 0, y 0 ) the ODE. y = (1 x 2 y 2 ) 1/3
MAT 3 Midterm # Show your work!. The existence and uniqueness theorem says that, given a point (x 0, y 0 ) the ODE y = ( x 2 y 2 ) /3 has a unique (local) solution with initial condition y(x 0 ) = y 0
Solutions to Midterm 1 (Drogon)
MATH 15 Solutions to Midterm 1 (Drogon) 1 A tank holding gallons of maple syrup can be drained completely in three hours by opening a valve at its bottom The amount of syrup in the tank at time t (where
Math 2250 Final Exam Practice Problem Solutions. f(x) = ln x x. 1 x. lim. lim. x x = lim. = lim 2
Math 5 Final Eam Practice Problem Solutions. What are the domain and range of the function f() = ln? Answer: is only defined for, and ln is only defined for >. Hence, the domain of the function is >. Notice
1.1 Graphing Motion. IB Physics 11 Kinematics
IB Physics 11 Kinematics 1.1 Graphing Motion Kinematics is the study of motion without reference to forces and masses. We will need to learn some definitions: A Scalar quantity is a measurement that has
Elementary Algebra SAMPLE Final Examination Fall 2017
Elementary Algebra NAME: SAMPLE Final Examination Fall 2017 You will have 2 hours to complete this exam. You may use a calculator but must show all algebraic work in the space provided to receive full
What is a Vector? A vector is a mathematical object which describes magnitude and direction
What is a Vector? A vector is a mathematical object which describes magnitude and direction We frequently use vectors when solving problems in Physics Example: Change in position (displacement) Velocity
Fall 2016 ACP Review Answer Section
Fall 016 P Review nswer Section MULTIPLE HOIE 1. NS: The relationship is proportional, because the data points lie on a line, and the line goes through the origin. To find the constant of proportionality,
CHAPTER 2 Differentiation
CHAPTER Differentiation Section. The Derivative and the Slope of a Graph............. 9 Section. Some Rules for Differentiation.................. 56 Section. Rates of Change: Velocit and Marginals.............
6.3 Standard Form. Comparing Forms of Linear Equations. Explore. Circle true or false. The slope is. You can read the slope from the equation.
Name Class Date 6. Standard Form Essential Question: How can you write a linear equation in standard form given properties of the line including its slope and points on the line? Resource Locker Explore
CEE 271: Applied Mechanics II, Dynamics Lecture 1: Ch.12, Sec.1-3h
1 / 30 CEE 271: Applied Mechanics II, Dynamics Lecture 1: Ch.12, Sec.1-3h Prof. Albert S. Kim Civil and Environmental Engineering, University of Hawaii at Manoa Tuesday, August 21, 2012 2 / 30 INTRODUCTION
Speed how fast an object is moving (also, the magnitude of the velocity) scalar
Mechanics Recall Mechanics Kinematics Dynamics Kinematics The description of motion without reference to forces. Terminology Distance total length of a journey scalar Time instant when an event occurs
STRAIGHT LINE MOTION TEST
STRAIGHT LINE MOTION TEST Name: 1. The number of significant figures in the number 0.030 is a) b) 3 c) d) 5. The number 35.5 rounded to significant figures is a) 35.0 b) 35 c) 35.5 d) 0 3. Five different
MATH 121: EXTRA PRACTICE FOR TEST 2. Disclaimer: Any material covered in class and/or assigned for homework is a fair game for the exam.
MATH 121: EXTRA PRACTICE FOR TEST 2 Disclaimer: Any material covered in class and/or assigned for homework is a fair game for the exam. 1 Linear Functions 1. Consider the functions f(x) = 3x + 5 and g(x)
2. To receive credit on any problem, you must show work that explains how you obtained your answer or you must explain how you obtained your answer.
Math 50, Fall 2011 Test 3 PRINT your name on the back of the test. Directions 1. Time limit: 1 hour 50 minutes. 2. To receive credit on any problem, you must show work that explains how you obtained your
AP Calculus AB Unit 3 Assessment
Class: Date: 2013-2014 AP Calculus AB Unit 3 Assessment Multiple Choice Identify the choice that best completes the statement or answers the question. A calculator may NOT be used on this part of the exam.
Section 11.3 Rates of Change:
Section 11.3 Rates of Change: 1. Consider the following table, which describes a driver making a 168-mile trip from Cleveland to Columbus, Ohio in 3 hours. t Time (in hours) 0 0.5 1 1.5 2 2.5 3 f(t) Distance
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. x )
Midterm Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Decide whether or not the arrow diagram defines a function. 1) Domain Range 1) Determine
Element x in D is called the input or the independent variable of the function.
P a g e 1 Chapter 1. Functions and Mathematical Models Definition: Function A function f defined on a collection D of numbers is a rule that assigns to each number x in D a specific number f(x) or y. We