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is a partial list of topics that may be covered in Math 113 with a sample problem that illustrates each topic. Work the problem and click on the Answer button to see how
you did. |
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Integration |
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Integrate the following: |
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Evaluate the following:![]() |
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Find the area of the region bounded by the
graph of![]() the x-axis, and the line x = 3. |
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Evaluate the following:![]() |
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Differential
Equations |
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Solve the differential equation. |
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Solve the differential equation. |
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Find the particular solution of the
differential equation that satisfies the initial condition.![]() |
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Let x and y be the sizes of two internal
organs of a particular mammal at time t. Empirical data indicate that
the relative growth rates of these two organs are equal, and hence we
have Solve the differential equation, writing y as a function of x |
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Infinite Series |
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Determine the convergence or the divergence of
the sequence with the given nth term.![]() |
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Determine the convergence or the divergence of
the series.![]() |
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Determine the convergence or divergence of the
series.![]() |
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Find a function represented by the series and
give the domain of the function. |
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Find the series representation of the function
defined by the integral.![]() |
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Parametric Equations |
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Sketch the curve represented by the
parametric equations (indicate the orientation of the curve), and write
the corresponding rectangular equation by eliminating the parameter. |
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Polar Coordinates | |
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Write the polar form of the equation of the
conic.![]() |
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Updated 11/07/08 . For broken links or comments, please email vzabrocki@msubillings.edu
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