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1.
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Multiple
choice (hard).
Content and difficulty will be comparable
to questions 1 through 11 on Test 2.
Answer key: CBC ABBE DAXE.
(Answer to question 10 should have been, “No, but for other reasons.”)
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2.
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Definition
of derivative and difference quotients.
Sample problems: questions 12 and 13 from Test 2.
Remember, derivative is defined as the limit
of the forward difference quotient.
The symmetric difference quotient gives an approximation of the derivative.
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3.
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Definition
of continuity, plus one application (IVT).
Sample problem: question 14 from Test 2.
You will also need to know the precise statement of IVT and be able to answer
questions similar to #5 and #6 on p. 69.
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4.
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Initial
value problems.
Sample problems: #19-23 odd on p. 122.
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5.
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Chain
rule.
Sample problem: Compute d/dx [sin(cos((3x2 – 11)4.7))].
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6.
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Precal
review: Sinusoids.
Sample problem: #2 on p. 116.
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7.
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Sketching
derivatives and antiderivatives.
Sample problem: Sketch the parabola y
= –2x2 – 3x + 2, labeling salient features
(roots, local extrema, and points of inflection, if any). On the same set of
axes, use a dotted graph to sketch a believable graph of y¢ and a dashed graph to sketch a believable graph of an antiderivative
of y.
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8.
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Particle
motion (s, v, and a).
Sample problems: #8-11 on pp. 103-104.
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