Mr. Calculus Help Page
Help and reference provided below--28
years of AP Calculus Test solutions--Solved example problems--Lots
of reference links.
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 2024 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 2023 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 2022 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 2021 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 2020 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 2019 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 2018 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 2017 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 2016 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 2015 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 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 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]
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
developed by Lawrence S Husch, University of
Tennessee
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
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
is a College Board endorsed AP*
Calculus AB and AP*
Calculus BC consultant and teaches
at Diamond
Bar
High School in Diamond
Bar,
California.
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,
travel, music,
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
is 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.
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
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
1995-2015
CAS
and
HMA as Mr. Calculus and Ask Mr. Calculus
