MATH101 April 2010
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Question 05 (a)
Full-Solution Problem. Justify your answer and show all your work. Simplification of the answer is not required.
An unknown function has the following values:
Write down the trapezoidal approximation for
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If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!
The formula for the trapezoid rule is given by
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Since the formula for the trapezoid rule can be given by
and we know that we want to evaluate this rule using , we have
and thus, the trapezoidal approximation that we need is
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MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Trapezoidal rule