Questions from General Calculus


Q: Find parametric equations for the path of a particle that moves along

Find parametric equations for the path of a particle that moves along the circle x2 + (y - 1)2 = 4 in the manner described. (a) Once around clockwise, starting at (2, 1) (b) Three times around counter...

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Q: (a) Find parametric equations for the ellipse x2/a2

(a) Find parametric equations for the ellipse x2/a2 + y2/b2 = 1. (b) Use these parametric equations to graph the ellipse when a = 3 and b = 1, 2, 4, and 8. (c) How does the shape of the ellipse change...

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Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.

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Q: Use a graphing calculator or computer to reproduce the picture.

Use a graphing calculator or computer to reproduce the picture.

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Q: Use a graphing calculator or computer to reproduce the picture.

Use a graphing calculator or computer to reproduce the picture.

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Q: Compare the curves represented by the parametric equations. How do they

Compare the curves represented by the parametric equations. How do they differ?

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Q: Compare the curves represented by the parametric equations. How do they

Compare the curves represented by the parametric equations. How do they differ?

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Q: A curve, called a witch of Maria Agnesi, consists of

A curve, called a witch of Maria Agnesi, consists of all possible positions of the point P in the figure. Show that parametric equations for this curve can be written as Sketch the curve.

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Q: (a) Find parametric equations for the set of all points

(a) Find parametric equations for the set of all points P as shown in the figure such that |OP|−|AB|. (This curve is called the cissoid of Diocles after the Greek scholar Diocles, wh...

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Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.

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