A wheel of radius a rolls along a horizontal straight line without slipping. Find parametric equations for the curve traced out by a point P on a spoke of the wheel b units from its center. As parameter, use the angle u through which the wheel turns. The curve is called a trochoid, which is a cycloid when b = a.

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Q: The cylindrical coordinates of a point are

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Q: (ii) Express the unit circle centred at position (1,2), using parametric, implicit and explicit…

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A: x = 2+5 cost → x-25=cost    y = 3+2 sint → y-32 = sint  Square both equations and add them.…

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Q: Find parametric equations for a circle of radius 2, centered at (3, 5).

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Q: Determine the length of the parametric curve given by the following parametric equations

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Q: Use the parametric equations of an ellipse, D=5 cos(@), y - 4 sin(6), 0 O 27, to find the area that…

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Q: Find the length of the curve defined by the parametric equations

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Q: A circle is specified in parametric form by x=7+3cosθ y=−8+3sinθ What are the coordinates of the…

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Q: Identify the surface whose equation in spherical coordinates is given by p = 8 cos %3D

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