HappyCal / Mr. Hansen |
Name:
_____________________________ |
10/20/2011 [rev. for
clarity] |
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Matching Quiz
Instructions: Label each box as MVT, IVT, EVT, FTC1, or FTC2. Note that the
columns are scrambled.
Additional instructions for take-home version: replace “. . .” in each conclusion with
correct symbols.
Given: f cont. on [a, b] |
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Concl.: |
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Summary: Every y-value strictly between the endpoints
is attained somewhere in the interior. |
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Given: f cont. on [a, b] and f differentiable on (a,
b) |
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Concl.: |
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Summary: Somewhere in the
interior, tangent slope equals secant slope. |
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Given: f cont. on [a, b] |
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Concl.: |
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Summary: Every continuous
function has an antiderivative. |
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Given: f cont. on [a, b] |
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Concl.: |
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Summary: We have a formula
for finding definite integrals. |
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Given: f cont. on [a, b] |
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Concl.: |
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Summary: At least one min
and at least one max are attained. |