4. Consider the parametric curve x = cost, y = sin cost, te [-T, π]. (a) Show that (0,0) is a point of self-intersection of the curve and find equations of the two tangent lines at this point. (b) Find the area enclosed by the loop of the curve that starts and ends at (0,0).
4. Consider the parametric curve x = cost, y = sin cost, te [-T, π]. (a) Show that (0,0) is a point of self-intersection of the curve and find equations of the two tangent lines at this point. (b) Find the area enclosed by the loop of the curve that starts and ends at (0,0).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![4. Consider the parametric curve x =
cost, y = sin cost, t € [−π, π].
(a) Show that (0, 0) is a point of self-intersection of the curve and find equations of the two
tangent lines at this point.
(b) Find the area enclosed by the loop of the curve that starts and ends at (0,0).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3da61dc5-a1a2-401d-8f51-966e79e7a621%2Fb1193fc8-67fa-48cf-b3fd-bdd11d19b5d5%2Fguorrrn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Consider the parametric curve x =
cost, y = sin cost, t € [−π, π].
(a) Show that (0, 0) is a point of self-intersection of the curve and find equations of the two
tangent lines at this point.
(b) Find the area enclosed by the loop of the curve that starts and ends at (0,0).
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