3. Below is a curve C, which is the intersection between the surfaces S: z = 4 -x? and S2: z + 2x -2y = 4. C A possible form for the parameterization of the curve C corresponds to: A) r(t) = (x(t), V4 -t- 2+t),with 0sts 4 B)r(t) = (t, 2t – z(t)),with 0sts 4 C)r(t) = (x(t), V4 – t² + 2 – t,t), with 0

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 34E
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3. Below is a curve C, which is the intersection between the surfaces
S1: z = 4-x? and S2: z + 2x -2y = 4.
C
A possible form for the parameterization of the curve C corresponds to:
A) r(t) = (x(t), V4 -t - 2 +,t),with 0sts 4
B)r(t) = (t, 2t –. (t)),with 0sts 4
C)r(t) = (x(t), V4– t² + 2 – t,t), with 0 <t < 2
D) r(t) = (t, -t + z(t), with 0sts 2
Transcribed Image Text:3. Below is a curve C, which is the intersection between the surfaces S1: z = 4-x? and S2: z + 2x -2y = 4. C A possible form for the parameterization of the curve C corresponds to: A) r(t) = (x(t), V4 -t - 2 +,t),with 0sts 4 B)r(t) = (t, 2t –. (t)),with 0sts 4 C)r(t) = (x(t), V4– t² + 2 – t,t), with 0 <t < 2 D) r(t) = (t, -t + z(t), with 0sts 2
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