A curve C is defined by the parametric equations x = 1– t2 y =t – t3 (a) Show that C has two tangents at the origin and find their equations. (b) Find the points on C where the tangent is horizontal or vertical. (c) Determine where the curve is concave upward or downward. (d) Find the area of the region enclosed by the loop of the curve.
A curve C is defined by the parametric equations x = 1– t2 y =t – t3 (a) Show that C has two tangents at the origin and find their equations. (b) Find the points on C where the tangent is horizontal or vertical. (c) Determine where the curve is concave upward or downward. (d) Find the area of the region enclosed by the loop of the curve.
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 35E
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