Consider the parametric equation [ r(t) = 2 cos(t) y(t) = 4 sin (t) + 4...
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Consider the parametric equation [ r(t) = 2 cos(t) y(t) = 4 sin² (t) + 4 cos(t) - 5 minate the parameter by relating r(t) to ult) Give for t€ [0, π]. (a) Eliminate the parameter by relating r(t) to y(t). Give a description for the curve in terms of x and y only and specify its domain. Hint Express sin² (t) in terms of cos² (t). (b) Use the function computed in the previous part to sketch the parametric curve. Indicate its orientation. Consider the parametric equation [ r(t) = 2 cos(t) y(t) = 4 sin² (t) + 4 cos(t) - 5 minate the parameter by relating r(t) to ult) Give for t€ [0, π]. (a) Eliminate the parameter by relating r(t) to y(t). Give a description for the curve in terms of x and y only and specify its domain. Hint Express sin² (t) in terms of cos² (t). (b) Use the function computed in the previous part to sketch the parametric curve. Indicate its orientation.
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The graph is a downwards open parabola with vertex x1 with ... View the full answer
Related Book For
Discovering Advanced Algebra An Investigative Approach
ISBN: 978-1559539845
1st edition
Authors: Jerald Murdock, Ellen Kamischke, Eric Kamischke
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