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Calculus

Here are the best study resources to pass Calculus. Find Calculus study guides, notes, assignments, and much more.

 Calculus > QUESTIONS & ANSWERS > Exercises and Problems in Linear Algebra (Perfect Revision Tool) (All)
Exercises and Problems in Linear Algebra (Perfect Revision Tool)

Contents PREFACE vii Part 1. MATRICES AND LINEAR EQUATIONS 1 Chapter 1. SYSTEMS OF LINEAR EQUATIONS 3 1.1. Background 3 1.2. Exercises 4 1.3. Problems 7 1.4. Answers to Odd-Numbered Exercises 8...

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 Calculus > QUESTIONS & ANSWERS > AP Calculus AB | Download for quality grades | (All)
AP Calculus AB | Download for quality grades |

Practice Test 1 (Differentiation) Part I: Multiple Choice: No Calculator ࢌሺ࢞ሻ ൌ ࢞ ૛െ ૢ ૜െ࢞ൌ൅૜ ࢞ This function has a discontinuity where the denominator is zero. i.e., at ࢞ ൌ െ૜. If this disconti...

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 Calculus > QUESTIONS & ANSWERS > Calculus and its Applications Test Bank, All Correct Test bank Questions and Answers with Explanations (latest Update), 100 Correct, Download to Score A (All)
Calculus and its Applications Test Bank, All Correct Test bank Questions and Answers with Explanations (latest Update), 100 Correct, Download to Score A

Calculus and its Applications Test Bank, All Correct Test bank Questions and Answers with Explanations (latest Update), 100 Correct, Download to Score A

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 Calculus > QUESTIONS & ANSWERS > University of Houston CALCULUS 2433 Cal III Final-REVIEWED BY EXPERTS-ALL ANSWERS CORRECT (All)
University of Houston CALCULUS 2433 Cal III Final-REVIEWED BY EXPERTS-ALL ANSWERS CORRECT

You scored 100 out of 100 Question 1 Your answer is CORRECT. Taking a = -3 i - j + 2 k and b = 2 i + j - k Find the vector projection of a on b. a) b) c) d) e) f) None of the above. Questi...

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 Calculus > QUESTIONS & ANSWERS > Chapter 2: LIMITS AND DERIVATIVES. Work and Answers (All)
Chapter 2: LIMITS AND DERIVATIVES. Work and Answers

2.1 The Tangent and Velocity Problems 1. (a) Using (15 250), we construct the following table:   slope =   5 (5 694) 694 5−−15 250 = − 444 10 = −444 10 (10 444) 444 10−−250 15 = − 194 5...

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 Calculus > QUESTIONS & ANSWERS > Chapter 3: DIFFERENTIATION RULES. Work And Answers (All)
Chapter 3: DIFFERENTIATION RULES. Work And Answers

3.1 Derivatives of Polynomials and Exponential Functions 1. (a)  is the number such that lim →0  − 1  = 1. (b)  27 − 1  −0001 09928 −00001 09932 0001 09937 00001 09933 ...

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 Calculus > QUESTIONS & ANSWERS > Chapter 4: APPLICATIONS OF DIFFERENTIATION. WOrk and Answers (All)
Chapter 4: APPLICATIONS OF DIFFERENTIATION. WOrk and Answers

4.1 Maximum and Minimum Values 1. A function  has an absolute minimum at  =  if () is the smallest function value on the entire domain of , whereas  has a local minimum at  if () is the sm...

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 Calculus > QUESTIONS & ANSWERS > Chapter 5 INTEGRALS. Work and Answers (All)
Chapter 5 INTEGRALS. Work and Answers

5.1 Areas and Distances 1. (a) Since  is decreasing , we can obtain a lower estimate by using right endpoints. We are instructed to use five rectangles, so  = 5. 5 = 5 =1 ()∆ ∆ =  −...

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 Calculus > QUESTIONS & ANSWERS > Chapter 6: APPLICATIONS OF INTEGRATION. Work and Answers (All)
Chapter 6: APPLICATIONS OF INTEGRATION. Work and Answers

6.1 Areas Between Curves 1.  = =1 =8( − ) = 18 √3  − 1  = 3 443 − ln||8 1 = (12 − ln 8) − 3 4 − ln 1 = 45 4 − ln 8 2.  = 01  − 2  =  − 1 221 0 =  − 1 2 −...

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 Calculus > QUESTIONS & ANSWERS > Chapter 7: TECHNIQUES OF INTEGRATION. Work and Answers (All)
Chapter 7: TECHNIQUES OF INTEGRATION. Work and Answers

7.1 Integration by Parts 1. Let  = ,  = 2  ⇒  = ,  = 1 22. Then by Equation 2,  2  = 1 22 −  1 22  = 1 22 − 1 42 + . 2. Let  = ln,  = √  ⇒  = 1  , ...

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 Calculus > QUESTIONS & ANSWERS > Chapter 8 FURTHER APPLICATIONS OF INTEGRATION. Work and Answers (All)
Chapter 8 FURTHER APPLICATIONS OF INTEGRATION. Work and Answers

8.1 Arc Length 1.  = 2 − 5 ⇒  = −31 1 + ()2  = −31 1 + (2)2  = √5 [3 − (−1)] = 4√5. The arc length can be calculated using the distance formula, since the curve is a line segment, so...

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 Calculus > QUESTIONS & ANSWERS > Chapter 9: DIFFERENTIAL EQUATIONS. Work and Answers (All)
Chapter 9: DIFFERENTIAL EQUATIONS. Work and Answers

9.1 Modeling with Differential Equations 1.  = 2 3  + −2 ⇒ 0 = 2 3  − 2−2. To show that  is a solution of the differential equation, we will substitute the expressions for  and 0 in the...

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 Calculus > QUESTIONS & ANSWERS > Chapter 10: PARAMETRIC EQUATIONS AND POLAR COORDINATES. Work and Answers (All)
Chapter 10: PARAMETRIC EQUATIONS AND POLAR COORDINATES. Work and Answers

10.1 Curves Defined by Parametric Equations 1.  = 1 − 2,  = 2 − 2, −1 ≤  ≤ 2  −1 0 1 2  0 1 0 −3  −3 0 1 0 2.  = 3 + ,  = 2 + 2, −2 ≤  ≤ 2  −2 −1 0 1 2  −10 −2 0 2 10  6 3 2...

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 Calculus > QUESTIONS & ANSWERS > Chapter 11: INFINITE SEQUENCES AND SERIES. Work and Answers (All)
Chapter 11: INFINITE SEQUENCES AND SERIES. Work and Answers

11.1 Sequences 1. (a) A sequence is an ordered list of numbers. It can also be defined as a function whose domain is the set of positive integers. (b) The terms  approach 8 as  becomes large. In...

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 Calculus > QUESTIONS & ANSWERS > Chapter 12: VECTORS AND THE GEOMETRY OF SPACE. Work and Answers (All)
Chapter 12: VECTORS AND THE GEOMETRY OF SPACE. Work and Answers

12.1 Three-Dimensional Coordinate Systems 1. We start at the origin, which has coordinates (0 0 0). First we move 4 units along the positive -axis, affecting only the -coordinate, bringing us t...

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 Calculus > QUESTIONS & ANSWERS > Chapter 13: VECTOR FUNCTIONS. Work and Answers (All)
Chapter 13: VECTOR FUNCTIONS. Work and Answers

13.1 Vector Functions and Space Curves 1. The component functions ln( + 1), √9− 2 , and 2 are all defined when  + 1  0 ⇒   −1 and 9 − 2  0 ⇒ −3    3, so the domain of r is (−13). 2. T...

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 Calculus > QUESTIONS & ANSWERS > Capter 14: PARTIAL DERIVATIVES. Work and Answers (All)
Capter 14: PARTIAL DERIVATIVES. Work and Answers

14.1 Functions of Several Variables 1. (a) From Table 1, (−1540) = −27, which means that if the temperature is −15◦C and the wind speed is 40 kmh, then the air would feel equivalent to approximat...

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 Calculus > QUESTIONS & ANSWERS > Chapter 15: MULTIPLE INTEGRALS. Work and Answers (All)
Chapter 15: MULTIPLE INTEGRALS. Work and Answers

15.1 Double Integrals over Rectangles 1. (a) The subrectangles are shown in the figure. The surface is the graph of ( ) =  and ∆ = 4, so we estimate  ≈ 3  = 1 2  = 1 ( )∆ =...

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 Calculus > QUESTIONS & ANSWERS > Chapter 16: VECTOR CALCULUS. Work and Answers (All)
Chapter 16: VECTOR CALCULUS. Work and Answers

16.1 Vector Fields 1. F( ) = 03i − 04j All vectors in this field are identical, with length 05 and parallel to h3 −4i. 2. F( ) = 1 2i +  j The length of the vector 1 2i +  j is  1...

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 Calculus > QUESTIONS & ANSWERS > Chapter 17: SECOND-ORDER DIFFERENTIAL EQUATIONS. Work and Answers (All)
Chapter 17: SECOND-ORDER DIFFERENTIAL EQUATIONS. Work and Answers

17.1 Second-Order Linear Equations 1. The auxiliary equation is 2 −  − 6 = 0 ⇒ ( − 3)( + 2) = 0 ⇒  = 3,  = −2. Then by (8) the general solution is  = 13 + 2−2. 2. The auxiliary equatio...

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