Difference between revisions of "009C Sample Final 3, Problem 10"
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| − | <span class="exam"> | + | <span class="exam">A curve is described parametrically by |
| + | ::<span class="exam"><math>x=t^2</math> | ||
| + | ::<span class="exam"><math>y=t^3-t</math> | ||
| − | + | <span class="exam">(a) Sketch the curve for <math style="vertical-align: -2px">-2\le t \le 2.</math> | |
| − | + | <span class="exam">(b) Find the equation of the tangent line to the curve at the origin. | |
| − | + | <hr> | |
| − | + | [[009C Sample Final 3, Problem 10 Solution|'''<u>Solution</u>''']] | |
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| − | ''' | + | [[009C Sample Final 3, Problem 10 Detailed Solution|'''<u>Detailed Solution</u>''']] |
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[[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | [[009C_Sample_Final_3|'''<u>Return to Sample Exam</u>''']] | ||
Latest revision as of 17:57, 2 December 2017
A curve is described 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 y=t^3-t}
(a) Sketch the curve for 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 -2\le t \le 2.}
(b) Find the equation of the tangent line to the curve at the origin.