| ucf03-003 Draw a quick sketch using the techniques that you learned in workshop. \begin{align*} (a) & y = (x+1)/(x-1) & (b) & y = (x-1)/(x+1) \\ (c) & y = (3x+1)/(x-2) & (d) & y = (1-x)/(2x+3) \\ (e) & y = 1/(x^{2}+4) & (f) & y = 1/(x^{2}-4) \\ (g) & y = 1/(x^{2}+2x+2) & (h) & y = 1/(x^{2}-3x+2) \\ \end{align*} |
| ucf03-006
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| ucf06-006 Find all values of $p$ for which the following functions are a) continuous b) differentiable. \( \( |
| ucf12-003
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| ucf13-003 Suppose \( a < b \), and I know the exact value of both \( \sqrt{a } \) and \( \sqrt{b} \). To estimate the square root of \( (a+b)/2 \) should I use the linear approximation to \( \sqrt{x } \) at \( x = a \) or at \( x = b \)? Reasons please! |