3 1 True/False

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Midterm
1
3 Practice
5
Midterm
True/False
For each of the following questions respond true if the statement is true and
false if the statement is false. If your response is false give a counter example
or explain why.
1. It is possible for the sum of infinitely many numbers to converge.
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2. A Riemanu sum with a finite partition is exactly equal to the corre
sponding definite integral.
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3. ff(z)dx
=
ff(x)dx
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4. For an increasing function the left Riernann sum method always over
estimates the definite integral.
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Free response
2
1. Evaluate the following sum:
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Z k sin()
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2. Represent the following
S=1+3+5+7+. ...+1ö
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sum in
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Sigma notation and then evaluate it:
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3. Use the Riemann Sum definition of the definite integral to evaluate
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4. If the velocity function of an object starting at the origin is given as
f 2t :te[0,5]
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Find the location of the object at t=20 and at t50.
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