15. What is the correct piecewise parametrization of a path C created by starting from C₁ of equation y = x + 3 from x = 0 to x = 4, then C₂ with an equation y = x² from y = 7 to the origin and a vertical line C3 that connects the two previous curves head to tail? A. r(t)=4-t 0≤t≤4 4≤t≤4+√7 4+√7≤t≤7+√7 0 t+4+√7 t + 3 t 0≤t≤4 4≤t≤4+√7 (4-t)² 0 t+4+√7 4+√7≤t≤7+√7 B. r(t)=4-t t+3 4-t² 't D. r(t) = t 0 t t + 3 C. r(t) = 4+√7-t (4+√7-t)² 4+√7-0 0 t-4-√7 t + 3 0≤t≤4 t² 0≤t≤√7 t 0 ≤t≤3 0≤t≤4 4≤t≤4+√7 4+√7 ≤ t ≤7+√7 O
15. What is the correct piecewise parametrization of a path C created by starting from C₁ of equation y = x + 3 from x = 0 to x = 4, then C₂ with an equation y = x² from y = 7 to the origin and a vertical line C3 that connects the two previous curves head to tail? A. r(t)=4-t 0≤t≤4 4≤t≤4+√7 4+√7≤t≤7+√7 0 t+4+√7 t + 3 t 0≤t≤4 4≤t≤4+√7 (4-t)² 0 t+4+√7 4+√7≤t≤7+√7 B. r(t)=4-t t+3 4-t² 't D. r(t) = t 0 t t + 3 C. r(t) = 4+√7-t (4+√7-t)² 4+√7-0 0 t-4-√7 t + 3 0≤t≤4 t² 0≤t≤√7 t 0 ≤t≤3 0≤t≤4 4≤t≤4+√7 4+√7 ≤ t ≤7+√7 O
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 44E
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Transcribed Image Text:15. What is the correct piecewise parametrization of a path C created by starting from C, of equation y = x + 3 from x = 0 to
4, then C2 with an equation y = x² from y = 7 to the origin and a vertical line C3 that connects the two previous curves
head to tail?
X =
t + 3
0 <t<4
4 <t< 4+ v7
t + 4 + v7 4+ v7sts7+ v7
0 <t< 4
4 <t<4+ v7
t + 4 + v7 4 + V7sts7+ v7
0 <t< 4
A. r(t) = {4 - t
4 - t2
t + 3
В. r(t) :
4 - t
(4 – t)?
t
t + 3
C. r(t) = {4+ v7 -t (4+v7– t)
4 <t< 4+v7
4 + v7 <t<7+ V7
t – 4 – 17
0 <t< 4
0 sts v7
(t
t + 3
D. r(t)
t2
t
0 <t< 3
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