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Unformatted text preview: Review for Final Exam
Part I: Previous Exams
At least 90% of your ﬁnal exam will look very much like your ﬁrst three exams.
• Your ﬁrst priority is to make sure that you can work all the problems on the old exams,
including the takehome problem. Blank exams are posted on the ﬁnal exam web page.
• In case it wasn’t clear, you WILL have to do Min/Max word problems on the ﬁnal.
• Note that Chapter 2 requires you to compute derivatives using the limit deﬁnition. You MUST
know the deﬁnition and you WILL see this problem on the ﬁnal. You should also know that
you CANNOT use L’Hospital’s rule on such a problem.
• After you make sure you can do all the problems on old exams you should practice on problem
types. For instance, it’s not enough to be able to do the related rates problem on Exam 2.
You have to know how to do any related rates problem. Similarly for Min/Max problems.
Part II: Section 5.5 and 5.6
There will be one or two problems from these sections.
• Be able to execute the substitution procedure. Know that you are locked in once you choose
u = ...
• Know how to make appropriate choices of u = . . .
• Be aware that these problems can be either “guess an antiderivative” or “compute an integral”.
You need to know the diﬀerence and you need to be able to recognize the notation for each.
As a reminder:
f (x) dx means guess an antiderivative
b f (x) dx means compute an integral.
a 1 ...
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This note was uploaded on 10/12/2011 for the course MATH 170 taught by Professor Staff during the Spring '08 term at Boise State.
- Spring '08