Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

I'm a graduate student in the Department of Mathematics and the Department of Computer Science at Iowa State University. My research interests include topology, computability theory, and algebra.

$61-72$ Graphing Logarithmic Functions Graph the function,not by plotting points, but by starting from the graphs in Figures4 and $9 .$ State the domain, range, and asymptote.$$y=\ln |x|$$

Write out the first four terms of the Taylor series of $f(x)$ centered at $c=3$ if\begin{equation}f(3)=1, \quad f^{\prime}(3)=2, \quad f^{\prime \prime}(3)=12, \quad f^{\prime \prime \prime}(3)=3\end{equation}

Find the Maclaurin series and find the interval on which the expansion is valid.\begin{equation}f(x)=\frac{x}{1-x^{4}}\end{equation}

Find the Maclaurin series and find the interval on which the expansion is valid.\begin{equation}f(x)=e^{4 x}\end{equation}

Find the Maclaurin series and find the interval on which the expansion is valid.\begin{equation}f(x)=(1-x)^{-1 / 2}\end{equation}

Find the Maclaurin series and find the interval on which the expansion is valid.\begin{equation}f(x)=x^{2} e^{x^{2}}\end{equation}