| ucf28-001 Find these antiderivatives.
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| ucf28-003 In some cases, integration by parts can be used when there is only one ``part''. ` Evaluate these two integrals.
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| utf01-001 Below is a list of some ``simple'' algebra problems. Some of the solutions are correct and some of them are {wrong}! For each problem:
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| utf01-002 Solve the following inequalities. Whenever possible, use distance arguments. \begin{align*} a) &|{x-3}|<5 & b) & 0<|{x-2}|<1 \\ c) & 1<|{x+1}|\leq 2 & d) & {-1}\leq |{x+1}| \leq 2 \\ e) & 0\leq |{x+1}| \leq {\infty} & f) & 0\leq ||{x-1}|- 1| < 1 \\ g) &|{x^2+2}|< |{x^2+1}| & h) &1<|{a-1}| + |{a-2}|<2 \end{align*} |
| utf01-003 True or False: If $x < 0$, then $|{x}|={-x}$. If false, give an example that illustrates your conclusion. If true, explain why it is true. {Remember that giving an example that works doesn't prove it is true in general.} |