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Differential Equations
(Growth & Decay,DEQ Separation of variables, PVA)
DEQ Separation of variables
Tonight we will focus on the DEQs that are heavily
tested on AB/BC exams, ( MC and FR)
Almost every year will have some type of DEQ problem!
Get Good at it! You can rack up points on FR
Growth & Decay
We will also focus on other separable DEQs that
represent growth and decay scenarios.
PVA
And lastly we will add several AB examples related
to straight line particle motion.
Rules that YOU need to memorize for your AB or BC Exam!
What is always the 1st Step in solving a Separable Differential Equation?
*********Separate the Variables*********
For Free Response Questions if you DO NOT show your reader your separation
of variables 0 out of 5 or 0 out of 6 points will be YOUR score even if you have a
correct antiderivative and/or a correct answer!
Rules that YOU need to memorize for your AB or BC Exam!
Rules that YOU need to memorize for your AB or BC Exam!
Derivation
Give me a thumbs up if you need to see it!
PVA
Rules that YOU need to memorize for your AB or BC Exam!
PVA
PVA
PVA
PVA
Growth & Decay, DEQ, and PVA
Multiple Choice Examples
Example 1
Answer Example 1
Example 2
Answer Example 2
Example 2 a (let me see your answer in the chat)
Example 2 a answer
Example 3
Answer Example 3
Example 4
Answer Example 4
Example 4 a (let me see your answer in the chat)
Answer Example 4 a
Example 4 b (let me see your answer in the chat)
Answer Example 4 b
Example 5 calc active ( can make this a precal problem)
Answer Example 5
Example 6 ( can make this a precal problem)
Answer Example 6
Example 7
Answer Example 7
Example 8
Work for example 8
Answer Example 8
Example 9 calc active
Answer Example 9 calc active
Example 10 calc active
Answer Example 10
DEQ and PVA
Free Response
2016 AB 4
Answer 2016 AB 4
Work for part C
Answer 2016 AB 4 cont.
2013 AB2 calc active
Scoring Guidelines 2013 AB2
Scoring Guidelines 2013 AB2 cont.
If Time: 2005 Form B AB6
Answer 2005 Form B AB6
Answer 2005 Form B AB6
Thank you for attending Problems from College Board Audit Tests And Problems from
College Board Released Teaching Module, 2010
I hope that this presentation has been helpful. Please go to archives if you missed
any session and take notes and send them to your instructor.
Don’t forget about the upcoming sessions:
AB/BC combined Mon 4/17 at 7 PM on FTC
BC Thurs 4/20 at 7 PM on Vectors (BC only)
Make sure you sign in here for your attendance for the session.
https://docs.google.com/a/ncpublicschools.gov/forms/d/e/1FAIpQLSdPqmIGa0ctT
6IaPViMmuKk4GhLiahri7S75eQqLWr16_x0JA/viewform?c=0&w=1
MORE DEQ FR practice
IF time :)
2006 Form B AB5
Solution to 2006 Form B AB5
Solution to 2006 Form B AB5
NEED another one like that!
Check out 2014 AB6 and AB4 for PVA
And 2013 AB6 ( a great DEQ with e^x)
Almost every year will have some type of DEQ problem!
Get Good at it! You can rack up points on FR

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