1. Consider the circle in the ry-plane given by the parametrization x = 2 cos t, y = 1 +2 sin t, 0
1. Consider the circle in the ry-plane given by the parametrization x = 2 cos t, y = 1 +2 sin t, 0
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 18T
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60abd4de-ba2d-4a53-b8fc-e1d2e0799cec%2Ffef199be-0e82-4dd8-b942-c12727b2a222%2Fxlp34kf_processed.jpeg&w=3840&q=75)
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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