CalcIIChapt10-1 - If you have a graphing device, graph the...

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Some exercises for 10.1 1. Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. Then eliminate the parameter to find a Cartesian equation of the curve: t x 3 1 + = , 2 2 t y - = 2. Eliminate the parameter to find a Cartesian equation of the curve. Then sketch the curve and indicate with an arrow the direction in which the curve is graved as the parameter increases: θ sin 4 = x , cos 5 = y , 2 2 π -
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Some exercises for 10.2 3. Find an equation of the tangent to the curve 1 2 2 + = t x , t t y - = 3 3 1 at the point 3 = t 4. Find dx dy and 2 2 dx y d for t x sin 2 = , t y cos 3 = , π 2 0 < < t 5. Find the points on the curve where the tangent is horizontal or vertical.
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Unformatted text preview: If you have a graphing device, graph the curve to check your work: ( 29 3 cos = x , sin 2 = y 6. Set up but do not evaluate, an integral that represents the length of the curve: t e x + = 1 , 2 t y = , 3 3 -t 7. Find the distance traveled by a particle with position ) , ( y x as t varies on the interval [ ] 3 , , where t x 2 sin = , t y 2 cos = 8. Set up an integral (but do not solve) that represents the surface area obtained by rotating the region described by 3 t x = , 2 t y = on 1 t about the x-axis....
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This note was uploaded on 04/12/2011 for the course CALC 215 taught by Professor Williamson during the Spring '10 term at Grand Valley State University.

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CalcIIChapt10-1 - If you have a graphing device, graph the...

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