# Register now to access 7 million high quality study materials (What's Course Hero?) Course Hero is the premier provider of high quality online educational resources. With millions of study documents, online tutors, digital flashcards and free courseware, Course Hero is helping students learn more efficiently and effectively. Whether you're interested in exploring new subjects or mastering key topics for your next exam, Course Hero has the tools you need to achieve your goals.

5 Pages

### Differential Equations Worksheet

Course: MATH 160, Fall 2008
School: Boise State
Rating:

#### Document Preview

Equations Differential Worksheet 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. Key 1. 3. 2. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40.

Register Now

#### Unformatted Document Excerpt

Coursehero >> Idaho >> Boise State >> MATH 160

Course Hero has millions of student submitted documents similar to the one
below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.

Course Hero has millions of student submitted documents similar to the one below including study guides, practice problems, reference materials, practice exams, textbook help and tutor support.
Equations Differential Worksheet 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. Key 1. 3. 2. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 2...

Find millions of documents on Course Hero - Study Guides, Lecture Notes, Reference Materials, Practice Exams and more. Course Hero has millions of course specific materials providing students with the best way to expand their education.

Below is a small sample set of documents:

Boise State - MATH - 160
Definite Integral Word ProblemsExample 1 An empty bucket is placed under a tap and filled with water. t minutes after the bucket has been placed under the tap. The rate of flow of water into the bucket is equal to 2.3 - 0.1t gallons per minute. How
Boise State - MATH - 160
Derivatives - Chain Rule Worksheet Key 1. f ( x ) = ( 1 - x )3f ' ( x ) = -3 ( 1 - x )22. f ( x ) = 2 ( x 3 - 1) 3. f ( x ) =5f ' ( x ) = 30 x 2 ( x 3 - 1)4-3 1 ( 2x 2 + x ) 23 ( 1+ 4x ) df =- dy 2 ( 2x 2 + x )1 d ( y ) = ( 3 ) ( 3
Boise State - MATH - 160
Derivatives - Chain Rule 1. f ( x ) = ( 1 - x )3f' ( x) =2. f ( x ) = 2 ( x 3 - 1)5f' ( x) =3. f ( x ) =-3 1 ( 2x 2 + x ) 2df = dy4. y = ( 3 x 2 - 2 x + 1) 23d ( y) = dx dy = dx45. y = 3 x 2 - x6. y = ( x - 1)2( 2 x + 1)
Boise State - MATH - 160
Derivative Problems Use the definition of derivative to solve the following. 1. f ( x ) = 3x + 5 f' ( x) =2. y = x 3dy = dx3. f ( x ) = x 3 - 4 x 2df = dx4. y =1 5xd ( y) = dx5. f ( x ) = - x 2 + 3xf' ( x) =Use the rules of differ
Boise State - MATH - 160
Derivative Worksheet Use the definition of derivative to solve the following. 1. f ( x ) = 3 x + 5 f' ( x) =2. y = x 3dy = dx3. f ( x ) = x 3 - 4 x 2df = dx4. y =1 5xd ( y) = dx5. f ( x ) = - x 2 + 3 xf' ( x) =Use the rules of dif
Boise State - MATH - 160
Continuityy = f ( x)1. What is the domain of f ' ( x ) ? 2. What is the range of f ' ( x ) ? 3. Find the x -intercept(s) of f ( x ) ? 4. Find the y -intercept(s) of f ( x ) ? 5. f ( -8 ) = _ f ( 2 ) = _ f ( -4 ) = _ f ( 8 ) = __6.x - 6-lim f
Boise State - MATH - 160
Continuity and DerivativesDefinition of continuous functionSecant becoming the tangent line
Boise State - MATH - 160
Derivatives - Product Rule Worksheet 1. f ( x ) = ( 2 x 2 - 1) ( x 3 + 3 ) f' ( x) =2. f ( x ) = ( x 3 - 12 x ) ( 3 x 2 + 2 x )f' ( x) =3. f ( x ) = 3 x 2 ( x - 1)df = dy4. y = ( 5 x 2 + 1) 2 x - 1()d ( y) = dx dy = dx5. y = ( x 3 -
Boise State - MATH - 160
Derivatives - Product Rule Worksheet Key 1. f ( x ) = ( 2 x 2 - 1) ( x 3 + 3 ) f ' ( x ) = 10 x 4 - 3 x 2 + 12 x2. f ( x ) = ( x 3 - 12 x ) ( 3 x 2 + 2 x )f ' ( x ) = 15 x 4 + 8 x 3 - 108 x 2 - 48 x3. f ( x ) = 3 x 2 ( x - 1)df = 9x 2 - 6x dy
Boise State - MATH - 160
Derivatives - Quotient Rule Worksheet 11. f ( x ) = 1 x -2 x -1 2x + 1 x 2x - 4 f' ( x) =12. f ( x ) =f' ( x) =13. f ( x ) =df = dy14. y =x2 + 1 x2 - 1d ( y) = dx15. y =x x +12dy = dxx2 + 2 16. y = 2 x + x +1 x2 + 1 xy' =17
Boise State - MATH - 160
Derivatives - Quotient Rule Worksheet Key 11. f ( x ) = 1 x -2 f' ( x) = -1( x - 2)3212. f ( x ) =x -1 2x + 1f' ( x) =( 2 x + 1)213. f ( x ) =x 2x - 4df -4 = dy ( 2 x - 4 ) 2 d -4 x ( y) = 2 2 dx ( x - 1)14. y =x2 + 1 x2 - 1
Boise State - MATH - 160
Simple Linear RegressionLeast Square Curve Fitting1PurposeAssume that two quantitative variables that are measured on the same items are sampled from a population. We get n pairs of observations: (x1, y1),.,(xn ,yn) Our aim is to develop a mode
Boise State - MATH - 160
Math 160 Calculus Problem 27, page 42 Regression ExampleFirst, we enter the 5 columns of data into lists, L1 - Year, L2 - Men's 100 Times, L3 - Women's 100 Times, L4 - Men's 200 Times, L5 - Women's 200 Times.For each set of times we need to: a) l
Boise State - MATH - 160
Math 160 Calculus Problem 27, page 42 Regression ExampleFirst, we enter the 5 columns of data into lists, L1 - Year, L2 - Men's 100 Times, L3 - Women's 100 Times, L4 - Men's 200 Times, L5 - Women's 200 Times.For each set of times we need to: a) l
Boise State - MATH - 160
Multi-variable Extrema Worksheet1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.16.17.18.19.20.21.22.23.24.25.26.27.28.29.30.31.32.33.34.35.36.37.38.39.40.Key1. 2. 3. 4. 5. 6. 7.
Boise State - MATH - 160
Partial Derivatives Worksheet1.2.3.4.5.6.7.8.9.10.11.12.13.14.15.16.17.18.19.20.21.22.23.24.25.26.27.28.29.30.31.32.33.34.35.36.37.38.39.40.Key1. 2. 3. 4. 5. 6. 7. 8.
Boise State - MATH - 160
Microeconomics with Calculus: Tutorial #1Calculus and EconomicsDaniel S. Christiansen ALBION COLLEGE christiansen@albion.edu August 14, 2002 Instructions for Viewing View Full Screen Table of Contents Begin tutorialc Copyright 19992002 Daniel
Boise State - MATH - 160
1.011 Project Evaluation Carl D. Martland Assignment 2 Cost &amp; Revenue Functions Assigned: Due: Monday, February 10, 2003 Tuesday, February 18, 2003Problems from Text 1 Be sure that you understand all of the elements of 2-3 and 2-37 (basic terminolo
Boise State - MATH - 160
Cost, Revenue and Profit Functions Michael Cooney1Many business situations allow us to model how cost, revenue and vary with respect to different parameters, and how they combine to yield a functional expression for profit. In most cases, it is t
Boise State - MATH - 160
Calculator Activity IntroGetting to know your TI-83Press ON to begin using calculator.To stop, press 2nd ON . To darken the screen, press 2nd alternately. To lighten the screen, press2 nd alternately. Press 2nd + to reset or clear the memory o
Boise State - MATH - 160
INTRODUCTION TO THE TI-83 AND TI-83 PLUS BasicsKeyboardEach key on the TI-83 and TI-83 Plus accesses up to three objects, operations, or menus. The primary object, operation, or menu is written on the key. Above each key are other objects, operatio
Boise State - MATH - 160
TI-83 (+) Keystrokes for Chapter 4 of Understanding Basic StatisticsItems in boxes are actual keys; other items are menu choices (selected with arrow keys, or the key). Some keys have text above them; this is given [in brackets]. A vertical line li
Boise State - MATH - 160
TI-83 Literacy Pamphletby Michael J. O'Lear Arts and Sciences Dept, Mathematical Sciences M.S.U. Great Falls College of Technology Great Falls, Montana1INDEX1. Introduction 2. General Maintenance of the TI-83 3. MODE Screen A. General Computat
Boise State - MATH - 160
Just the Basics: Regression on the TI-83 Before You Do Your First Regression on the TI-83: Press CATALOG (2nd 0) and press the D key to jump down to the commands that start with the letter D. Use the down arrow to move the triangle down until it is t
Boise State - MATH - 160
RIT Calculator SiteLinear Regression Using the TI-83 Calculator Overview The following ordered pairs (t, N) of data values are obtained. t N 5 119.94 10 166.65 15 213.32 20 256.01 25 406.44 30 424.72 35 591.15 40 757.96 45 963.36 50 1226.58 Using
Boise State - MATH - 160
1. f ( x ) = ( 1 - x )3Derivatives - Chain Rule 2 f ' ( x ) = -3 ( 1 - x )2. f ( x ) = 2 ( x 3 - 1)5f ' ( x ) = 30 x 2 ( x 3 - 1)43. f ( x ) =-3 1 ( 2x 2 + x ) 23 ( 1+ 4x ) df =- dy 2 ( 2x 2 + x )4. y = ( 3 x - 2 x + 1)23 21
Boise State - MATH - 160
Derivatives - Chain Rule 1. f ( x ) = ( 1 - x )3f' ( x) =2. f ( x ) = 2 ( x 3 - 1)5f' ( x) =3. f ( x ) =-3 1 ( 2x 2 + x ) 2df = dy4. y = ( 3 x 2 - 2 x + 1) 23d ( y) = dx dy = dx45. y = 3 x 2 - x6. y = ( x - 1)2( 2 x + 1)
Boise State - MATH - 160
Derivatives - Chain Rule 1. f ( x ) = ( 1 - x )3f' ( x) =2. f ( x ) = 2 ( x 3 - 1)5f' ( x) =3. f ( x ) =-3 1 ( 2x 2 + x ) 2df = dy4. y = ( 3 x 2 - 2 x + 1) 23d ( y) = dx dy = dx45. y = 3 x 2 - x6. y = ( x - 1)2( 2 x + 1)
Boise State - MATH - 160
Derivative Problems Use the definition of derivative to solve the following. 1. f ( x ) = 3 x + 5 f' ( x) =2. y = x 3dy = dx3. f ( x ) = x 3 - 4 x 2df = dx4. y =1 5xd ( y) = dx5. f ( x ) = - x 2 + 3 xf' ( x) =Use the rules of diff
Boise State - MATH - 160
Derivative Quiz Use the definition of derivative to solve the following. 1. f ( x ) = 3 x + 5 f' ( x) =2. y = x 3dy = dx3. f ( x ) = x 3 - 4 x 2df = dx4. y =1 5xd ( y) = dx5. f ( x ) = - x 2 + 3 xf' ( x) =Use the rules of differen
Boise State - MATH - 160
Derivatives - Exp Log Derivatives 1. f ( x ) = e 3 x f' ( x) =2. f ( x ) = x 3e xf' ( x) =3. f ( x ) =ew + 1 ewdf = dy4. y =x exd ( y) = dx dy = dx5. y = ( e x + 1)256. y = e 2 x1y' =e-x 7. f ( x ) = 1+ x 2f' ( x) =8.