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Mixed Review: Doubles, Near Doubles

Terms in this set (49)

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Verified questions

algebra

What is the range of the function $f(x) = –2(6x) + 3$?

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calculus

Write out the first eight terms of each series to show how the series starts. Then find the sum of the series or show that it diverges. $$ \sum_{n=1}^{\infty} \left(1-\frac{7}{4^n}\right) $$

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linear algebra

Extend the linearly independent set $\mathcal{V}$ to a basis for V. $$ \mathcal{V}=\left\{\left[\begin{array}{ll} 1 & 0 \\ 1 & 0 \\ 1 & 0 \end{array}\right],\left[\begin{array}{ll} 0 & 1 \\ 0 & 1 \\ 0 & 1 \end{array}\right],\left[\begin{array}{ll} 1 & 0 \\ 1 & 0 \\ 0 & 0 \end{array}\right],\left[\begin{array}{ll} 0 & 0 \\ 0 & 0 \\ 0 & 1 \end{array}\right]\right\}, V=R^{3 \times 2} $$

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calculus

Find the indicated terms by use of the following information. The $r+1$ term of the expansion of $(a+b)^n$ is given by $\frac{n(n-1)(n-2)\cdots(n-r+1)}{r!}a^{n-r}b^r$ The sixth term of $(\sqrt a-\sqrt b)^{14}$

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