Massachusetts Institute of Technology MIT OpenCoursewareCambridge, Massachusetts, US,

September 4, 2008

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

The resource has been added to your collection

Teachers and students can use these exam questions and solutions to test the information learned.

Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Daniel J. Kleitman, 18.013A Calculus with Applications, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc

http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

- Mathematics > General
- Mathematics > Calculus

- Grade 9
- Grade 10
- Grade 11
- Grade 12

Curriki Rating**'P'** - This is a trusted Partner resource P **'P'** - This is a trusted Partner resource

Not Rated Yet.

Table of Contents

- Parametric Equations Exam Questions
- Polar Coordinate Graphs Exam Questions
- Polar Curves I Exam Question
- Area Inside a Polar Curve Exam Question
- Polar Coordinates I Exam Question
- Polar Coordinates II Exam Question
- Integrals in Polar Coordinates: Lunar Eclipse Exam Question
- Polar Coordinates: Spiral Exam Question
- Lines in Polar Coordinates Exam Question
- Polar Curves II Exam Question

Teachers and students can use these exam questions and solutions to test the information learned.

Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Prof. Daniel J. Kleitman, 18.013A Calculus with Applications, Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc

http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Single Variable Calculus Questions 4E-1 through 4E-9 (and their solutions) cover finding equations in rectangular coordinates for those given in parametric form, or putting a rectangular equation in parametric form.

Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

Single Variable Calculus Questions 4H-1 through 4H-3 (and their solutions) cover converting rectangular coordinates to polar coordinates, converting polar equations to rectangular equations, and graphing curves given in polar coordinates.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

Single Variable Calculus Question 4 (and its solution) covers sketching a curve in polar coordinates, and labeling the quadrants, endpoints, tangent slopes, and angles for the curve.

Course: 18.01 Single Variable Calculus, Fall 2005

Instructor: Prof. Jason Starr

Prof. Jason Starr, 18.01 Single Variable Calculus, Fall 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

Single Variable Calculus Question 5 (and its solution) covers sketching a curve defined in polar coordinates and finding the area inside it.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

Single Variable Calculus Question 9 (and its solution) covers sketching a curve given in polar coordinates and finding points of intersection between that and other curves.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

Single Variable Calculus Question 5 (and its solution) covers representing a circle using both rectangular and polar coordinates.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

Single Variable Calculus Question 6 (and its solution) covers setting up and evaluating an integral to represent the uncovered area of the two moons involved in a lunar eclipse on another planet.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

Single Variable Calculus Question 5 (and its solution) covers sketching a spiral defined in polar coordinates, counting the times it crosses the x-axis, and finding the area of specific regions of the spiral.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

Single Variable Calculus Question 6 (and its solution) covers finding an equation in polar coordinates and the appropriate range of theta for a line given in rectangular coordinates.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

Single Variable Calculus Question 14 (and its solution) covers sketching a curve given in polar coordinates and finding the area swept by a line segment as one of the endpoints moves along this curve.Prof. David Jerison, 18.01 Single Variable Calculus, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed October 28, 2008). License: Creative Commons BY-NC-SA

http://ocw.mit.edu/OcwWeb/web/terms/terms/index.htm#cc http://creativecommons.org/licenses/by-nc-sa/3.0/us/legalcode

Course: 18.01 Single Variable Calculus, Fall 2006

Instructor: Prof. David Jerison

Member Rating

Curriki Rating**'P'** - This is a trusted Partner resource P**'P'** - This is a trusted Partner resource

Or

Our Terms of Service and Privacy Policies have changed. By logging in, you agree to our updated Terms and Policies.

Are you sure you want to logout?

Or