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Questions in mathematics

📝 Answered - $\int \frac{1}{x^2+6 x+11} d x=$ A. $\frac{1}{2} \arctan \left(\frac{x-3}{\sqrt{2}}\right)+C$ B. $\frac{\sqrt{2}}{2} \arctan \left(\frac{x+3}{\sqrt{2}}\right)+C$ C. $\frac{1}{2} \arctan \left(\frac{x+3}{2}\right)+C$ D. $\frac{\sqrt{2}}{2} \arctan (x+3)+C$ E. $\frac{1}{2} \arctan \left(\frac{x+3}{\sqrt{2}}\right)+C$

📝 Answered - $\frac{3^{15} \cdot 2^{34}}{3^{33} \cdot 2^{32}}$

📝 Answered - CONGRATULATIONS ON YOUR MERITORIOUS PENDOWN & GLORIOUS $69TH$ BIRTHDAY | Resotaizce box ceading | vottaneter ceading | $L/V \cdot (V)^{A}$ | $(V)$ | |---|---|---|---| | 100 | 2.9 | 0.34 | 290 | | 200 | 2.85 | 0.35 | 570 | | 300 | 2.7 | 0.37 | 810 | | 400 | 2.51 | 0.39 | 1004 | | 500 | 2.45 | 0.40 | 1225 | | 600 | 2.4 | 0.41 | 1440 | | 700 | 2.3 | 0.43 | 1610 | | 800 | 2.2 | 0.45 | 1760 | | 900 | 2.15 | 0.46 | 1935 | | 1000 | 2.1 | 0.47 | 2100 |

📝 Answered - Multiply. [tex]$(-1-2 i)(10+9 i)=$

📝 Answered - Find the equation of the line that is parallel to $y=-7 x+2$ and contains the point $(-5,32)$. $y=[?] x+[$

📝 Answered - Which of the following is the inverse of $y=12^x$? A. $y=\log \frac{1}{12} x$ B. $y=\log _{12} \frac{1}{x}$ C. $y=\log _x 12$

📝 Answered - A function $f(x)$ defined as $f(x)=\left\{\begin{array}{ll}\frac{x^2-9}{x-3} & x \neq 3 \\ \text { undefined } & x=3\end{array}\right.$ Is there a removable discontinuity at $x=3$ ? Justify your answer.

📝 Answered - For the inverse variation equation [tex]xy=k[/tex], what is the constant of variation, [tex]k[/tex], when [tex]x=7[/tex] and [tex]y=3[/tex]?

📝 Answered - Make $r$ the subject of $r+n=t$

📝 Answered - Solve: $|x+4|>7$ Give your answer as an interval.