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| − | <span class="exam">Compute | + | <span class="exam">A wheel of radius 1 rolls along a straight line, say the <math>x</math>-axis. A point <math>P</math> is located halfway between the center of the wheel and the rim. As the wheel rolls, <math>P</math> traces a curve. Find parametric equations for the curve. |
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| − | ::<span class="exam">a) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{3-2n^2}{5n^2+n+1}</math>
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| − | ::<span class="exam">b) <math style="vertical-align: -12px">\lim_{n\rightarrow \infty} \frac{\ln n}{\ln 3n}</math>
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| | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" |
Revision as of 12:05, 18 February 2017
A wheel of radius 1 rolls along a straight line, say the Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x}
-axis. A point 
is located halfway between the center of the wheel and the rim. As the wheel rolls, Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle P}
traces a curve. Find parametric equations for the curve.
Solution:
(a)
(b)
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