Suppose a curve is traced by the parametric equations 3(sin(t) + cos(t)) = x у 3 18 — 6 соs"(€) — 12 sin(e) as t runs from 0 to T. At what point (x, y) on this curve is the tangent line horizontal?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 34E
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Suppose a curve is traced by the parametric equations
3(sin(t) + cos(t))
= x
у 3 18 — 6 соs"(€) — 12 sin(e)
as t runs from 0 to T. At what point (x, y) on this curve is the tangent line horizontal?
Transcribed Image Text:Suppose a curve is traced by the parametric equations 3(sin(t) + cos(t)) = x у 3 18 — 6 соs"(€) — 12 sin(e) as t runs from 0 to T. At what point (x, y) on this curve is the tangent line horizontal?
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