Solutions for Area and Volume Problem Sets

Area and Volume Problem Set 1 and Area and Volume Problem Set 2 can be downloaded here.

The solutions for Problem Set 1 and Problem Set 2 are complete as well.

Problem Set 1



1971 AB5 Video


1969 AB5 Video



1975 AB6 Video



1976 AB3 Video


1977 AB3 Video



1969 AB4 Video 1
1969 AB4 Video 2


1970 AB1 Video


1971 AB2 Video

Problem Set 2


1980 AB1 Video
1980 AB1 Video 2 (Calculator Pt.1)
1980 AB1 Video 2 (Calculator Pt.2)


1981 AB2 Video



1985 AB3 Video



1987 AB3 Video
1987 AB3 Video (Calculator)



1988 AB3 Video

Some solutions

In response to the questions asked:

1969 BC 10


1969 BC 23


1969 BC 10 and BC 23 Video

1969 BC 23 continued and 1973 AB 31 and 1973 AB 37 Video

1973 AB 31


1973 AB 37


1985 BC 28


Actually, the answer is E to 28 above. I did the right work and had the right answer, but wrote D. Sorry.

1985 BC 33


1985 BC 28 and 1985 BC 33 Video

Answers to Multiple Choice Practice Problem Set

The answers to the multiple choice practice problem set are below:



Let me know if you have any questions on these, and I can post explanation videos. If there are no questions, I assume you get it. :)

Solution to class problem

I have worked out a few ways to get the correct answer to the problem we were working on at the end of class. They are contained in the video here. Please print out a copy of the problem set and bring it with you to class tomorrow.

I have uploaded a practice worksheet with AP multiple choice questions on the material in chapter 5. You can download it here.

I am also listing hw problems from the text. There are lots of examples of how these types of problems work and corresponding solutions. You do not need to do them all, but these are problems that you will be responsible for.

Larson 7.0 Chapter 5
Section 1 #45-69 odds,
Section 2 #1-39 odds,
Section 3 #47-53, #71-79 odds,
Section 4 #39-71, #87-107 odds,
Section 5 #41-55, #61-67 odds,
Section 6 #1-9, 17-19 odds,
Section 7 #31-63 odds,
Section 8 #41-59 odds,
Section 9 #1-41 odds

That's alot. There are a few formulas to remember, but the process is the same as what we have been doing all along.

I am out Friday, but you should now have plenty to work on. :)

Remember to email me with questions!!!! Don't wait till Tuesday. Thanks!!!
On Tuesday and Wednesday we will finalize the AB material!!!!

Integration Review

Integration Review all evens. These are from the Chapter Review exercises at the end of Chapter 4. Solutions to odd problems are online. Bring final questions on Monday and test Tuesday. If I am out Monday, then final questions on Tuesday and test Wednesday. If you have questions, let me know before then!!!!

Solution to #12 using geometric formulas:



And video solutions (not sure why I keep calling this problem 14, it is really problem 12):

Part 1:



Part 2:



Part 3 (Using integration - I think this is much more complicated, but you should follow it through and learn from the techniques used):



Part 4 (Finishing up with the integration and then taking a short cut or two)



I hope you spend some time going over these videos. The problem is not trivial and I can't say that I have ever solved or even seen a similar one, but hopefully we can learn something from it. I think it is a great problem and definitely a challenging one. :) Below is a printable copy of the solution.

Integration by Substitution and Trapezoidal Rule

Integration by Substitution: Larson 7.0, Chapter 4, Section 5 #7-39 odd, 41-53 odd, 57-81 odd.
Trapezoidal Rule: Larson 7.0, Chapter 4, Section 5 #1-19 odd