Mr. Calculus Help Page

To find this page quickly, go to
www.askmrcalculus.com

Help and reference provided below--15 years of AP Calculus Test solutions--Solved example problems--Lots of reference links.

Quick clicks to Mr. Calculus page
As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by clicking here. 
 

 2014 answers to released free response AP questions

  2013 answers to released free response AP questions

 2012 answers to free response AP questions

 2011 answers to free response AP questions

 2010 answers to free response AP questions

2009 answers to free response AP questions

2008 answers to free response AP questions

 2008 Multiple choice answers and solutions

2007 answers to free response AP questions

2006 answers to free response AP questions  

2005 answers to free response AP questions

2004 answers to free response AP questions

2003 Multiple choice answers and solutions

1998 Multiple choice answers and solutions

1997 - 2003 answers to free response AP questions

Annotated links for resources, references and help

Some worked problems to help you understand

Links to interactive help sites

Get answers to integrals

Get answers to derivatives and integrals

Helpful tables for common Calculus

Who is Mr. Calculus?

 

 

 

The Mr. Calculus page can provide further resources for you to find assistance! Look further down the page or go to the links' pages.

As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by clicking here.

 


Click here to see the solutions to the 2014 AP Released Free Response questions.   As always, your corrections and suggestions are welcome-->   e-mail your corrections or suggestions by clicking here. [the questions are not included as they are copyrighted]



Click here to see the solutions to the 2013 AP Released Free Response questions.   As always, your corrections and suggestions are welcome-->   e-mail your corrections or suggestions by clicking here. [the questions are not included as they are copyrighted]



Click here to see the solutions to the 2012 AP Free Response questions.   As always, your corrections and suggestions are welcome-->   e-mail your corrections or suggestions by clicking here. [the questions are not included as they are copyrighted]




Click here to see the solutions to the 2011 AP Free Response questions [including Form B] As always, your corrections and suggestions are welcome-->   e-mail your corrections or suggestions by clicking here. [the questions are not included as they are copyrighted]

 


 

Click here to see the solutions to the 2010 AP Free Response questions [including Form B] As always, your corrections and suggestions are welcome-->   e-mail your corrections or suggestions by clicking here.    [the questions are not included as they are copyrighted]

 

 


 

Click here to see the solutions to the 2009 AP Free Response questions [including Form B] As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by clicking here. [the questions are not included as they are copyrighted]

 

 


Click here to see the solutions to the 2008 AP Multiple Choice questions [the questions are not included as they are copyrighted] As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by clicking here.


Click here to see the solutions to the 2008 AP Free Response questions [including Form B] As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by clicking here. [the questions are not included as they are copyrighted]

 

 


 

 

Click here to see the solutions to the 2007 AP Free Response questions [including Form B ] As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by clicking here. [the questions are not included as they are copyrighted]

 

 


 

 

Click here to see the solutions to the 2006 AP Free Response questions [including Form B ] As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by clicking here. [the questions are not included as they are copyrighted]

 

 


 

 

Click here to see the solutions to the 2005 AP Free Response questions [including Form B ] As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by clicking here. [the questions are not included as they are copyrighted]

 


Click here to see the solutions to the 2004 AP Free Response questions [including Form B ] As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by clicking here. [the questions are not included as they are copyrighted]

 


Click here to see the solutions to the 2003 AP Multiple Choice questions [the questions are not included as they are copyrighted] As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by clicking here.

 

AP 1998 Multiple Choice Exam Answers

 

 

Click here to see the solutions to the 1998 AP Multiple Choice questions [the questions are not included as they are copyrighted]. As always, your corrections and suggestions are welcome--> e-mail your corrections or suggestions by clicking here.

 

 


 

 

Links to sites on Conic sections

 

 


 

 

Links to Mathematics Dictionaries and Encyclopedias

 

 


 

 

Famous Curves Index

 

 

Everything about those weird named curves you'd ever want to know

 

 


 

 

 

 

Visual Calculus --> links for visual practice and tutorials with solved problems. Great link for review or if you don't understand a topic.

Requires Flash plug-in.

developed by Lawrence S Husch, University of Tennessee

 

Some links to sites with visual displays, tutorials and solved problems to help you with AP Calculus

 


 

 

The Mr. Calculus page can provide further resources for you to find assistance! Look further down the page or go to the links pages.

 

 


 

 

Some helpful tables

 

 

Derivatives       Convergence Tests    

 

 

Logarithms       Exponents       

 

 

Special Technique     Simple Sequence Limits

 

 


 

 

A comprehensive reference to and list of mathematical constants

 

The proof pi, e, and log(2) are irrational

 


The solutions to the 2003 AP Free Response questions

2003 Form B AP solutions are also posted.

 


 

The solutions to the 2002 AP Free Response questions.

2002 Form B AP solutions are also posted.

 

 

 

 


 

 

2001 AP FREE RESPONSE

 

 

AB and BC solutions

 

 


 

 

2000 AP FREE RESPONSE

 

 

AB and BC solutions

 

 


 

 

1999 AP FREE RESPONSE

 

 

AB and BC solutions

 

 


 

 

1998 AP FREE RESPONSE

 

 

AB and BC solutions

 

 


 

 

1997 AP FREE RESPONSE

 

 

AB and BC solutions

 

 


 

 

How to get the graph of the derivative or definite integral of a given function f(x) on your TI-83 or TI-84 calculator.

 

 


 

 

 

 

Want to try a selected problem for practice?

 

 

Try it --> then look at solution

 

 

Maximum length of a ladder able to go around a corner in a hallway

 

 

Largest trapezoid that can be inscribed in a semi-circle

 

 

Circular piece of paper with wedge cut out->maximum cone volume

 

 

f ' (x) = f(x) - g(x) & g ' (x) = g(x) - f(x) & f(0) = 5 & g(0) = 1 -->Show f(x) + g(x) = 6

 

 

        

 

 

        

 

 

A trough of given length with isosceles triangle cross section has water flowing in-->How fast is the surface rising

 

 

Maximum volume of a cone inscribed in a shpere

 

 

Inscribe maximum volume cylinder in a given sphere

 

 

Find the maximum volume of a closed can that can be made form given amount of material

 

 

    

 

 

Find the points where  has either horizontal or vertical tangents

 

 

 

 

 

 

 

 

 

 

 

 

 


 

 

 

 

 

Look around--Lots of help here!

 

 


 

 

Mathematics and College Information Links [annotated]

 

 

Mathematics Resources [annotated]

 

 


 

Mr. Calculus teaches at Diamond Bar High School in Diamond Bar.  Mr. Calculus taught at Walnut High School in Walnut and La Puente High School in La Puente all in California.  He received his BA and MA in mathematics at California State University at Fullerton. Mr. Calculus went to high school at Mayfair High School in Lakewood, California. Besides teaching and mathematics, he enjoys the outdoors, travelmusic, going to concerts, Bruce Springsteen, and surfing the net. If you wish to share thoughts on any of these topics with him, e-mail by clicking here.

 


 

 

Mr. Calculus has the screen name AskMrCalculus or MisterCalculus on AOL Instant Messenger.  AskMrCalculus or MrCalculus on Yahoo Messenger.  On Twitter he is http://twitter.com/MrCalculus and on Facebook he is http://facebook.com/MrCalculus.  Feel to visit the sites or to contact him if he is online.

 

 


 

Mr. Calculus must apologize for having to remove the free response questions. If you read the e-mail sent by the College Board, you will see that they will not permit this kind of posting. You may see this particular e-mail by clicking here.

 


 

 

Links to what your AP Calculus score will grant you in credit at universities and colleges

 

 

Site maintained by AP(the CollegeBoard)

 

 


 

 

On-line Encyclopedia of Integer Sequences--put in sequence, get lots of data if this sequence is known

 

 

An interesting look at Fibonacci Numbers

 

 

 

 

 


 

 
Link to Dr. Vogel's Gallery of Calculus Pathologies-
A collection of really interesting problems and their proofs.
 

 


 

 

If you just wish to find an INTEGRAL, link up to the INTEGRATOR-sponsored by Mathematica!

 

 

Instructions are online and it's hot!

 

 

 

 

 

 

 


 

 

A table of derivatives including proofs of many of them

 

 

A table of differentiation and partial differentiation identities with some proofs

 

 

 

 

 


 

 

LINK TO A SYMBOLIC DERIVATIVES ON-LINE developed by David Scherfgen

 

  LINK TO A ONLINE SYMBOLIC INTEGRAL CALCULATOR developed by David Scherfgen

 

ANOTHER LINK TO SOLVING DERIVATIVES ON-LINE developed by Calc101.com


 


 

 

 

 

 

Mathematics is beautiful!

 

 

 

 

 

 

 

 


 

 

 

 

 

 

 

 

 

 

 Copyright 1995-2013 CAS as Mr. Calculus