Consider the following. \[ y=\sinh \left(4-x^{2}\right),(2,0) \] Find \( y^{\prime} \) Find the slope of the line tangent to the graph of \( y \) at the given point. Find an equation of the tangent line to the graph of the function at the given point. .

\( y = ( \tan 3 x ^ { 4 } ) ^ { \sqrt { x + 3 } } \)

Round your answers to the nearest thousandth. Do not round any intermediate computations. \[ \ln \frac{3}{4}=\square \] \( \ln 20.6=\square \)

8. \( \int \frac{8 x^{2} d x}{\left(x^{3}+2\right)^{3}} \)

Consider the following. \[ \begin{array}{l}y=x^{2} \\ y \\ y \\ y\end{array} \] (b) Use the integration capabilities of the graphing utility to approximate the area to four de

Find the Maclaurin series for the following function and determine its radius of convergence \( R \). \( f(x)=\ln \left(\frac{1+x}{1-x}\right) \). \( R=\square \) Use the first four terms of the series to approximate \( \ln (3) \). (Round your answer to six decimal places.) \( \ln (3) \approx \square \)