Quiz 6 answers001.pdf - Math 125 Summer 2014 Quiz 6 Name...

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Math 125 Summer 2014 Quiz 6 Name: Please answer the following questions on the on a separate sheet of paper. Please do problems 3 and 4 and graphs for problems 5 and 6 on this sheet of paper. 1. Given the following parametric equation y. = t - l,y = t 3 + I: a. Sketch the curve and indicate the direction in which the curve is traced as t increases. b. Eliminate the, parameter and give the cartesian equation of the curve. . dy . d 2 y c. Find and dx dx d. Write the equation of the line tangent to the curve when t — 3 | } 2. Find the exact length of the curve x = t sin t, y = t cos t, 0 < t < 1. /oN 3. Graph the polar curve
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