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Calculus

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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 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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  Calculus  >  QUESTIONS & ANSWERS  > Stewart - Calculus 8e ET Chapter 1. All Answers (All)

Stewart - Calculus 8e ET Chapter 1. All Answers

Stewart - Calculus 8e ET Chapter 1 Form A © 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 1....

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart - Calculus 8e ET Chapter 2. All Answers (All)

Stewart - Calculus 8e ET Chapter 2. All Answers

1. Find the limit. 2. Evaluate the limit. 3. Find the limit. 4. How close to do we have to take x so that 5. How close to 2 do we have to take x so that is within a distance of 0.01 from 13? 6. I...

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart - Calculus 8e ET Chapter 3. All Answers (All)

Stewart - Calculus 8e ET Chapter 3. All Answers

1. Find the first and the second derivatives of the function. 2. Find an equation of the tangent line to the curve. 3. Find 4. Find all points at which the tangent line is horizontal on the graph o...

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart - Calculus 8e ET Chapter 4. All Answers (All)

Stewart - Calculus 8e ET Chapter 4. All Answers

1. Find the local and absolute extreme values of the function on the given interval. , 2. Find all the critical numbers of the function. 3. Find the maximum and minimum points of the function. 4....

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart - Calculus 8e ET Chapter 6. All Answers (All)

Stewart - Calculus 8e ET Chapter 6. All Answers

1. Racing cars driven by Chris and Kelly are side by side at the start of a race. The table shows the velocities of each car (in miles per hour) during the first ten seconds of the race. Use the Midp...

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart - Calculus ET 8e Chapter 7. All Answers (All)

Stewart - Calculus ET 8e Chapter 7. All Answers

1. Evaluate the integral. 2. Evaluate the integral. 3. Evaluate the following integral. 4. Evaluate the integral to six decimal places. 5. Evaluate the integral. 6. Make a substitution to express...

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart – Calculus ET 8e Chapter 8. All Answers (All)

Stewart – Calculus ET 8e Chapter 8. All Answers

© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. 1. Find the area of the surface obtained by ro...

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart - Calculus ET 8e Chapter 9. All Answers (All)

Stewart - Calculus ET 8e Chapter 9. All Answers

1. is the solution of the differential equation . Find the solution that satisfies the initial condition . 2. A function satisfies the differential equation . What are the constant solutions of the...

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart - Calculus ET 8e Chapter 11. All Answers (All)

Stewart - Calculus ET 8e Chapter 11. All Answers

1. Find a formula for the general term of the sequence, assuming that the pattern of the first few terms continues. 2. Find the partial sum of the series . Give your answer to five decimal places....

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart - Calculus ET 8e Chapter 12. All Answers (All)

Stewart - Calculus ET 8e Chapter 12. All Answers

1. a. Find an equation of the sphere that passes through the point and has center . b. Find the curve in which this sphere intersects the xy-plane. 2. Write an inequality to describe the half-space...

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart - Calculus ET 8e Chapter 13. All Answers (All)

Stewart - Calculus ET 8e Chapter 13. All Answers

1. Find the following limit. 2. Find the point of intersection of the tangent lines to the curve , at the points where and . 3. Find an expression for . 4. The curves and intersects at the origin....

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart – Calculus ET 8e Chapter 14. All Answers (All)

Stewart – Calculus ET 8e Chapter 14. All Answers

1. Find all the second partial derivatives. 2. Find the first partial derivatives of the function. 3. Find the differential of the function. 4. If and changes from (2, 1) to find dz. 5. The length...

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  Calculus  >  QUESTIONS & ANSWERS  > Stewart - Calculus ET 8e Chapter 16. All Answers (All)

Stewart - Calculus ET 8e Chapter 16. All Answers

1. Find the work done by the force field in moving an object along an arch of the cycloid 2. Find the exact value of where C is the line segment from (0, 0, 0) to (1, , ). 3. Determine whether or n...

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