exercise:C5f086dc94: Difference between revisions
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(Created page with "<div class="d-none"><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}...") |
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\newcommand{\mathds}{\mathbb} | \newcommand{\mathds}{\mathbb} | ||
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<ul style{{=}}"list-style-type:lower-alpha" | <ul style{{=}}"list-style-type:lower-alpha"> | ||
<li> | <li>Graph the set of ordered pairs <math>(x,y)</math> such that | ||
Graph the set of ordered pairs <math>(x,y)</math> such that | |||
<math>4x^2 + y^2 = 8</math>. The graph is called an ellipse.</li> | <math>4x^2 + y^2 = 8</math>. The graph is called an ellipse.</li> | ||
<li>Find all ordered pairs <math>(x,y)</math>, such that <math>4x^2 + y^2 = 8</math> | <li>Find all ordered pairs <math>(x,y)</math>, such that <math>4x^2 + y^2 = 8</math> | ||
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<li>Find the dimensions of the largest (in area) rectangle which | <li>Find the dimensions of the largest (in area) rectangle which | ||
has sides parallel to the <math>x</math>-axis and the <math>y</math>-axis and is | has sides parallel to the <math>x</math>-axis and the <math>y</math>-axis and is | ||
inscribed in the ellipse of | inscribed in the ellipse of (a).</li> | ||
</ul> | </ul> | ||
Latest revision as of 23:43, 22 November 2024
[math]
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[/math]
- Graph the set of ordered pairs [math](x,y)[/math] such that [math]4x^2 + y^2 = 8[/math]. The graph is called an ellipse.
- Find all ordered pairs [math](x,y)[/math], such that [math]4x^2 + y^2 = 8[/math] and [math]4xy[/math] is a maximum.
- Find the dimensions of the largest (in area) rectangle which has sides parallel to the [math]x[/math]-axis and the [math]y[/math]-axis and is inscribed in the ellipse of (a).