Difference between revisions of "009C Sample Final 2, Problem 9"
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| − | <span class="exam"> | + | <span class="exam">A curve is given in polar coordinates by |
| + | ::::::<span class="exam"><math>r=\sin(2\theta).</math> | ||
| − | ::<span class="exam">a) | + | ::<span class="exam">a) Sketch the curve. |
| − | ::<span class="exam">b) <math | + | ::<span class="exam">b) Compute <math>y'=\frac{dy}{dx}.</math> |
| + | |||
| + | ::<span class="exam">c) Compute <math>y''=\frac{d^2y}{dx^2}.</math> | ||
{| class="mw-collapsible mw-collapsed" style = "text-align:left;" | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
Revision as of 10:32, 18 February 2017
A curve is given in polar coordinates by
- a) Sketch the curve.
- b) Compute
- c) Compute 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''=\frac{d^2y}{dx^2}.}
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Solution:
(a)
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| Step 2: |
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(b)
| Step 1: |
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| Step 2: |
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| Final Answer: |
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| (a) |
| (b) |