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\textbf{\LARGE{Math 111}}\\
\textbf{ Test 3}\\
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\vspace{.5in}

\textbf{\large{Part I}}\vspace{.2in}\\

Say you put $1,000$ in an account with $.06$ interest compounded continuously. \vspace{.2in}\\

How long until there's $1,500$?\vspace{2.5in}\\

How long until there's $2,000$?\pagebreak\\


\textbf{\large{PartII}}\vspace{.2in}\\

1.)Use the limit definition of the slope of the tangent line to find the equation of the tangent line to $2x^3-4x^6+x^8$ at $x=-1$.\pagebreak\\

2.)Use the limit definition of the slope of the tangent line to find the equation of the line tangent to $\frac{1}{x^2-1}$ at $x=3$.\pagebreak\\

\textbf{\large{PartIII}}\vspace{.2in}\\

Use the limit definition to find the derivative of $\frac{1}{\sqrt{x-1}}$\pagebreak\\

\textbf{\large{PartIV}}\vspace{.2in}\\

Use the power rule to find the equations of the tangent lines to \\
$2x^8-3x^3-1$ at\vspace{.2in}\\

1.) $x=1$\vspace{1.5in}\\

2.) $x=-1$\vspace{1.5in}\\

3.) $x=2$

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