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# Essential Calculus: Early Transcendentals

## James Stewart - ISBN: 9781133112280

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On this page you find summaries, notes, study guides and many more for the textbook Essential Calculus: Early Transcendentals, written by James Stewart. The summaries are written by students themselves, which gives you the best possible insight into what is important to study about this book. Subjects like & Calculus will be dealt with.

## Popular summaries Essential Calculus: Early Transcendentals Notes

Stewart - Calculus 8e ET Chapter 4 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. 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. Find the maximum and minimum points of the function. 5. The graph of the first derivative of a function f is...

- Exam (elaborations)
- • 56 pages •

Stewart - Calculus 8e ET Chapter 4 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. 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. Find the maximum and minimum points of the function. 5. The graph of the first derivative of a function f is...

Stewart - Calculus ET 8e Chapter 7 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. 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 the integrand as a rational function and then evaluate the integral. Round the answer to four decimal places...

- Exam (elaborations)
- • 49 pages •

Stewart - Calculus ET 8e Chapter 7 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. 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 the integrand as a rational function and then evaluate the integral. Round the answer to four decimal places...

Stewart - Calculus ET 8e Chapter 10 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. If a and b are fixed numbers, find parametric equations for the set of all points P determined as shown in the figure, using the angle ang as the parameter. Write the equations for and . 2. Find parametric equations for the path of a particle that moves once clockwise along the circle , starting at ...

- Exam (elaborations)
- • 59 pages •

Stewart - Calculus ET 8e Chapter 10 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. If a and b are fixed numbers, find parametric equations for the set of all points P determined as shown in the figure, using the angle ang as the parameter. Write the equations for and . 2. Find parametric equations for the path of a particle that moves once clockwise along the circle , starting at ...

Stewart - Calculus 8e ET Chapter 3 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. 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 of the function. 5. Calculate . 6. Differentiate the function. 7. The position function of a particle is giv...

- Exam (elaborations)
- • 46 pages •

Stewart - Calculus 8e ET Chapter 3 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. 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 of the function. 5. Calculate . 6. Differentiate the function. 7. The position function of a particle is giv...

Stewart - Calculus 8e ET Chapter 5 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. The velocity graph of a braking car is shown. Use it to estimate to the nearest foot the distance traveled by the car while the brakes are applied. Use a left sum with n = 7. 2. Evaluate by interpreting it in terms of areas. 3. Express the limit as a definite integral on the given interval. 4. Find a...

- Exam (elaborations)
- • 55 pages •

Stewart - Calculus 8e ET Chapter 5 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. The velocity graph of a braking car is shown. Use it to estimate to the nearest foot the distance traveled by the car while the brakes are applied. Use a left sum with n = 7. 2. Evaluate by interpreting it in terms of areas. 3. Express the limit as a definite integral on the given interval. 4. Find a...

15 MULTIPLE INTEGRALS 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 ( )∆ = (2 2)∆ (24)∆ (42)∆ (44)∆ (62)∆ (6 4)∆ = 4(4) 8(4) 8(4) 16(4) 12(4) 24(4) = 288 (b) ≈ 3 = 1 2 = 1 ∆ = (...

- Exam (elaborations)
- • 110 pages •

15 MULTIPLE INTEGRALS 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 ( )∆ = (2 2)∆ (24)∆ (42)∆ (44)∆ (62)∆ (6 4)∆ = 4(4) 8(4) 8(4) 16(4) 12(4) 24(4) = 288 (b) ≈ 3 = 1 2 = 1 ∆ = (...

- Exam (elaborations)
- • 116 pages •

Stewart - Calculus 8e ET Chapter 2 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. 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. If f and g are continuous functions with 7. Find the limit. 8. Find the limit. 9. Find an equation of the tang...

- Exam (elaborations)
- • 58 pages •

Stewart - Calculus 8e ET Chapter 2 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. 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. If f and g are continuous functions with 7. Find the limit. 8. Find the limit. 9. Find an equation of the tang...

Stewart - Calculus ET 8e Chapter 15 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. Calculate the iterated integral. 2. Evaluate where is the figure bounded by and . 3. Evaluate the integral by changing to polar coordinates. is the region bounded by the semicircle and the -axis. 4. Describe the region whose area is given by the integral. 5. Find the mass of the lamina that occupies...

- Exam (elaborations)
- • 46 pages •

Stewart - Calculus ET 8e Chapter 15 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. Calculate the iterated integral. 2. Evaluate where is the figure bounded by and . 3. Evaluate the integral by changing to polar coordinates. is the region bounded by the semicircle and the -axis. 4. Describe the region whose area is given by the integral. 5. Find the mass of the lamina that occupies...

Stewart - Calculus ET 8e Chapter 17 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. Solve the initial-value problem. 2. Solve the boundary-value problem, if possible. 3. Solve the differential equation. 4. Solve the initial-value problem. 5. Solve the differential equation. 6. Solve the differential equation. 7. Solve the differential equation. 8. Solve the initial-value problem. 9...

- Exam (elaborations)
- • 63 pages •

Stewart - Calculus ET 8e Chapter 17 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. Solve the initial-value problem. 2. Solve the boundary-value problem, if possible. 3. Solve the differential equation. 4. Solve the initial-value problem. 5. Solve the differential equation. 6. Solve the differential equation. 7. Solve the differential equation. 8. Solve the initial-value problem. 9...

## Latest notes & summaries Essential Calculus: Early Transcendentals Notes

Stewart - Calculus ET 8e Chapter 10 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. If a and b are fixed numbers, find parametric equations for the set of all points P determined as shown in the figure, using the angle ang as the parameter. Write the equations for and . 2. Find parametric equations for the path of a particle that moves once clockwise along the circle , starting at ...

- Exam (elaborations)
- • 59 pages •

Stewart - Calculus 8e ET Chapter 6 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. 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 Midpoint Rule to estimate how much farther Kelly travels than Chris does during the first ten seconds. 2. Fin...

- Exam (elaborations)
- • 67 pages •

Stewart - Calculus 8e ET Chapter 6 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. 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 Midpoint Rule to estimate how much farther Kelly travels than Chris does during the first ten seconds. 2. Fin...

Stewart – Calculus ET 8e Chapter 8 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. Find the area of the surface obtained by rotating the curve about the -axis. 2. Find the coordinates of the centroid for the region bounded by the curves , x = 0, and y = . 3. Find the centroid of the region shown, not by integration, but by locating the centroids of the rectangles and triangles an...

- Exam (elaborations)
- • 53 pages •

Stewart – Calculus ET 8e Chapter 8 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. Find the area of the surface obtained by rotating the curve about the -axis. 2. Find the coordinates of the centroid for the region bounded by the curves , x = 0, and y = . 3. Find the centroid of the region shown, not by integration, but by locating the centroids of the rectangles and triangles an...

Stewart - Calculus ET 8e Chapter 11 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. 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. 3. How many terms of the series would you need to add to find its sum to within 0.02? 4. Test the series f...

- Exam (elaborations)
- • 44 pages •

Stewart - Calculus ET 8e Chapter 11 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. 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. 3. How many terms of the series would you need to add to find its sum to within 0.02? 4. Test the series f...

Stewart - Calculus ET 8e Chapter 13 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. 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. Find their angle of intersection correct to the nearest degree. 5. Find the derivative of the vector funct...

- Exam (elaborations)
- • 47 pages •

Stewart - Calculus ET 8e Chapter 13 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. 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. Find their angle of intersection correct to the nearest degree. 5. Find the derivative of the vector funct...

Stewart – Calculus ET 8e Chapter 14 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. 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 l, width w and height h of a box change with time. At a certain instant the dimensions are and , and l a...

- Exam (elaborations)
- • 49 pages •

Stewart – Calculus ET 8e Chapter 14 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. 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 l, width w and height h of a box change with time. At a certain instant the dimensions are and , and l a...

Stewart - Calculus ET 8e Chapter 15 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. Calculate the iterated integral. 2. Evaluate where is the figure bounded by and . 3. Evaluate the integral by changing to polar coordinates. is the region bounded by the semicircle and the -axis. 4. Describe the region whose area is given by the integral. 5. Find the mass of the lamina that occupies...

- Exam (elaborations)
- • 46 pages •

Stewart - Calculus ET 8e Chapter 9 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. 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 equation? 3. A sum of is invested at interest. If is the amount of the investment at time t for the case o...

- Exam (elaborations)
- • 52 pages •

Stewart - Calculus ET 8e Chapter 9 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. 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 equation? 3. A sum of is invested at interest. If is the amount of the investment at time t for the case o...

Stewart - Calculus ET 8e Chapter 12 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. 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 consisting of all points to the left of a plane parallel to the xz-plane and units to the right of it. 3....

- Exam (elaborations)
- • 40 pages •

Stewart - Calculus ET 8e Chapter 12 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. 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 consisting of all points to the left of a plane parallel to the xz-plane and units to the right of it. 3....

Stewart - Calculus ET 8e Chapter 17 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. Solve the initial-value problem. 2. Solve the boundary-value problem, if possible. 3. Solve the differential equation. 4. Solve the initial-value problem. 5. Solve the differential equation. 6. Solve the differential equation. 7. Solve the differential equation. 8. Solve the initial-value problem. 9...

- Exam (elaborations)
- • 63 pages •