TRUE OR FALSE. A plane curve C defined by the parametric equations x = f(t) and y = g(t), where t is in the closed interval [a,b], is said to be smooth if f'(t) and g'(t) are not both zero at every number in the open interval (a,b).

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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TRUE OR FALSE. A plane curve C defined by the parametric equations x = f(t) and y = g(t), where t is in the closed interval [a,b], is said to be smooth if f'(t) and g'(t) are not both zero at every number in the open interval (a,b).

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