exercise:364ea42c79: Difference between revisions

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<ul style{{=}}"list-style-type:lower-alpha"><li></li>
<ul style{{=}}"list-style-type:lower-alpha">
<li>lab{3.4.5a}
<li>Show that the graph of <math>(x-3)(y+2) = 10</math> is an
Show that the graph of <math>(x-3)(y+2) = 10</math> is an
equilateral hyperbola with center at
equilateral hyperbola with center at
<math>(3,-2)</math> and asymptotes <math>x=3</math> and <math>y=-2</math>.</li>
<math>(3,-2)</math> and asymptotes <math>x=3</math> and <math>y=-2</math>.</li>
<li>Sketch the graph described in \ref{ex3.4.5a}.</li>
<li>Sketch the graph described in (a).</li>
</ul>
</ul>

Latest revision as of 01:52, 23 November 2024

[math] \newcommand{\ex}[1]{\item } \newcommand{\sx}{\item} \newcommand{\x}{\sx} \newcommand{\sxlab}[1]{} \newcommand{\xlab}{\sxlab} \newcommand{\prov}[1] {\quad #1} \newcommand{\provx}[1] {\quad \mbox{#1}} \newcommand{\intext}[1]{\quad \mbox{#1} \quad} \newcommand{\R}{\mathrm{\bf R}} \newcommand{\Q}{\mathrm{\bf Q}} \newcommand{\Z}{\mathrm{\bf Z}} \newcommand{\C}{\mathrm{\bf C}} \newcommand{\dt}{\textbf} \newcommand{\goesto}{\rightarrow} \newcommand{\ddxof}[1]{\frac{d #1}{d x}} \newcommand{\ddx}{\frac{d}{dx}} \newcommand{\ddt}{\frac{d}{dt}} \newcommand{\dydx}{\ddxof y} \newcommand{\nxder}[3]{\frac{d^{#1}{#2}}{d{#3}^{#1}}} \newcommand{\deriv}[2]{\frac{d^{#1}{#2}}{dx^{#1}}} \newcommand{\dist}{\mathrm{distance}} \newcommand{\arccot}{\mathrm{arccot\:}} \newcommand{\arccsc}{\mathrm{arccsc\:}} \newcommand{\arcsec}{\mathrm{arcsec\:}} \newcommand{\arctanh}{\mathrm{arctanh\:}} \newcommand{\arcsinh}{\mathrm{arcsinh\:}} \newcommand{\arccosh}{\mathrm{arccosh\:}} \newcommand{\sech}{\mathrm{sech\:}} \newcommand{\csch}{\mathrm{csch\:}} \newcommand{\conj}[1]{\overline{#1}} \newcommand{\mathds}{\mathbb} [/math]
  • Show that the graph of [math](x-3)(y+2) = 10[/math] is an equilateral hyperbola with center at [math](3,-2)[/math] and asymptotes [math]x=3[/math] and [math]y=-2[/math].
  • Sketch the graph described in (a).