Difference between revisions of "009C Sample Final 1, Problem 10"
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<span class="exam">(a) Sketch the curve. | <span class="exam">(a) Sketch the curve. | ||
| − | <span class="exam">(b) Compute the equation of the tangent line at <math>t_0=\frac{\pi}{4}</math>. | + | <span class="exam">(b) Compute the equation of the tangent line at <math>t_0=\frac{\pi}{4}</math>. |
<hr> | <hr> | ||
Revision as of 09:59, 3 December 2017
A curve is given in polar parametrically by
- 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(t)=3\sin t}
- 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 y(t)=4\cos t}
- 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 0\leq t \leq 2\pi}
(a) Sketch the curve.
(b) Compute the equation of the tangent line at 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 t_0=\frac{\pi}{4}} .