A curve consists of two parabolas as the following equations: f (u)= (-1+u°,2u –u²,0),(ue[0,1]) g(v)=( 2v-v°,1–v°,0),(v€e[0,1]) Check the parametric continuity of the curve. y -1 0 1 x

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.6: Equations Of Lines And Planes
Problem 2E
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A curve consists of two parabolas as the following equations:
f (u) = (-1+u°, 2u –u²,0)(u €[0,1]) g(v)=( 2v-v,1-v²,0).(vE[0,1])
Check the parametric continuity of the curve.
1
y
-1
Transcribed Image Text:A curve consists of two parabolas as the following equations: f (u) = (-1+u°, 2u –u²,0)(u €[0,1]) g(v)=( 2v-v,1-v²,0).(vE[0,1]) Check the parametric continuity of the curve. 1 y -1
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