Consider the parametric curve given by x(t) = -2t and y(t) = t². (a) Sketch this curve on the interval –3

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 36E
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Consider the parametric curve given by r(t) = -2t and y(t) = t².
(a) Sketch this curve on the interval –3 <t < 3 and indicate its orientation.
(b) Find the equation of the tangent line to the curve at t = -2.
Transcribed Image Text:Consider the parametric curve given by r(t) = -2t and y(t) = t². (a) Sketch this curve on the interval –3 <t < 3 and indicate its orientation. (b) Find the equation of the tangent line to the curve at t = -2.
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