1. Consider the circle in the ry-plane given by the parametrization x = 2 cos t, y = 1 +2 sin t, 0

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Consider the circle in the xy-plane given by the parametrization
x = 2 cost,
y = 1+2 sin t,
0<t< 2n.
(a) Find the center and the radius of the circle.
(b) Calculate the value(s) of t such that the tangent line of the circle has slope
-1//3?
(c) Determine the area of the surface generated by revolving the circle about the
x-axis.
Transcribed Image Text:1. Consider the circle in the xy-plane given by the parametrization x = 2 cost, y = 1+2 sin t, 0<t< 2n. (a) Find the center and the radius of the circle. (b) Calculate the value(s) of t such that the tangent line of the circle has slope -1//3? (c) Determine the area of the surface generated by revolving the circle about the x-axis.
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