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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? t t + 3 4-t² 4. 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 B. r(t)=4-t (4-t)² 4≤t≤4+√7 0 t+4+√7 4+√7≤t≤7+√7 t + 3 0≤t≤4 t C. r(t) = 4+√7-t (4+√7-t)² = {₁+√7-1 4≤t≤4+√7 t-4-√7 4+√7≤t≤7+√7 0 t t + 3 0≤t≤4 D. r(t) = t t² 0≤t≤√7 0 t 0≤t≤3

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? t t + 3 4-t² 4. 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 B. r(t)=4-t (4-t)² 4≤t≤4+√7 0 t+4+√7 4+√7≤t≤7+√7 t + 3 0≤t≤4 t C. r(t) = 4+√7-t (4+√7-t)² = {₁+√7-1 4≤t≤4+√7 t-4-√7 4+√7≤t≤7+√7 0 t t + 3 0≤t≤4 D. r(t) = t t² 0≤t≤√7 0 t 0≤t≤3

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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What is the correct piecewise parametrization of a path C created by starting from C, 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? t +3 0st<4 4 <t< 4+ v7 t + 4 + v7 4+ v7<ts7+v7 A. r(t) = {4 – t 4 – t2 t t + 3 0 <t< 4 4 <t< 4 + v7 t+4+ v7 4+ v7sts7+ v7 0<t< 4 4 <t< 4 + v7 B. r(t) = {4 – t (4 – t)? t t + 3 C. r(t) = {4+ v7 -t (4+ v7 – t) t – 4 – 17 4 + v7sts7+v7 (t t +3 0 <t< 4 D. r(t) = {t t2 0<tsv7 0<t< 3
Transcribed Image Text:What is the correct piecewise parametrization of a path C created by starting from C, 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? t +3 0st<4 4 <t< 4+ v7 t + 4 + v7 4+ v7<ts7+v7 A. r(t) = {4 – t 4 – t2 t t + 3 0 <t< 4 4 <t< 4 + v7 t+4+ v7 4+ v7sts7+ v7 0<t< 4 4 <t< 4 + v7 B. r(t) = {4 – t (4 – t)? t t + 3 C. r(t) = {4+ v7 -t (4+ v7 – t) t – 4 – 17 4 + v7sts7+v7 (t t +3 0 <t< 4 D. r(t) = {t t2 0<tsv7 0<t< 3
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