Consider the curve r(t) = (t²- 4t, -3t + 1, −2t² + 5t+4). This is called a planar curve, which means it lies entirely on a single plane. Find an equation for the plane on which this curve lies.

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 33E
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Consider the curve r(t) = (t²- 4t, -3t + 1, −2t² + 5t + 4). This is called a planar curve, which means it lies entirely
on a single plane. Find an equation for the plane on which this curve lies.
Transcribed Image Text:Consider the curve r(t) = (t²- 4t, -3t + 1, −2t² + 5t + 4). This is called a planar curve, which means it lies entirely on a single plane. Find an equation for the plane on which this curve lies.
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