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Answers by David U.

Mackenzie's question is missing a key word, and Nathan B's query is putting his finger right on the missing element:  Are there 50 more quarters than dimes, or 50 fewer quarters than dimes?  Obviously these two conditions will not give the same answers.   But we can deduce...

This problem can also be done without resorting to complex numbers. Complete the square on the denominator:           s2 + 2s + 5 = (s+1)2 + 4 Since the denominator is now expressed in terms of s+1, express the numerator...

I don't see any reason to do this in decimal form.  Like many fraction problems, it's done most easily as a common fraction. Begin by putting the .21 over the .33.  Now you have .21/.33.  Get rid of the decimals by multiplying by 100/100.  that gives you 21/33. ...

This is a partial fractions problem.  But notice that it's an improper fraction (because the highest power in the numerator is as large as the highest power in the denominator), so before you can apply the partial fractions technique, you need to use long polynomial division to break...

The number 8 is the correct number, and so is the process you described for how you got it.  However, what the 8 represents is not f(x)dx, but what you stated in your question, namely, the definite integral from 1 to 2 of (4x3 - 3x2).  So if you answered the question by saying "f(x)dx...