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x(t) = (t +3)² − 4; y(t) = (t + 3) traces an ellipse. a parabola. O a circle. O a line. O a different kind of curve. O a line segment.

x(t) = (t +3)² − 4; y(t) = (t + 3) traces an ellipse. a parabola. O a circle. O a line. O a different kind of curve. O a line segment.

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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Please explain how to identify which type of curve each set of parametric equations will trace. 

 

x(t) = (t + 3)² – 4; y(t) = (t + 3) traces an ellipse. a parabola. a circle. a line. a different kind of curve. O a line segment. x(t) = 4 cos(3t); y(t) = 4 sin(3t) traces a line segment. a line. a parabola. a different kind of curve. an ellipse. a circle. x(t) = e¯t² + ln(t — 4); y(t) : = 2 (e-t² + Int - 4)) a line segment. a line. a parabola. a different kind of curve. a circle. an ellipse. x(t) = 3 cos(5t); y(t) = 2 sin(5t) traces a circle. a different kind of curve. a parabola. traces
Transcribed Image Text:x(t) = (t + 3)² – 4; y(t) = (t + 3) traces an ellipse. a parabola. a circle. a line. a different kind of curve. O a line segment. x(t) = 4 cos(3t); y(t) = 4 sin(3t) traces a line segment. a line. a parabola. a different kind of curve. an ellipse. a circle. x(t) = e¯t² + ln(t — 4); y(t) : = 2 (e-t² + Int - 4)) a line segment. a line. a parabola. a different kind of curve. a circle. an ellipse. x(t) = 3 cos(5t); y(t) = 2 sin(5t) traces a circle. a different kind of curve. a parabola. traces
x(t) = 3 cos(5t); y(t) = 2 sin(5t) traces a circle. a different kind of curve. a parabola. an ellipse. a line segment. a line. x(t) = 4 cos(4t); y(t) = 16 cos²(4t) traces a parabola. a different kind of curve. a line. a circle. an ellipse. a line segment. x(t) = 3 cos (2t); y(t) = 2 sin(3t) traces a circle. a different kind of curve. a line. a line segment. an ellipse. O a parabola.
Transcribed Image Text:x(t) = 3 cos(5t); y(t) = 2 sin(5t) traces a circle. a different kind of curve. a parabola. an ellipse. a line segment. a line. x(t) = 4 cos(4t); y(t) = 16 cos²(4t) traces a parabola. a different kind of curve. a line. a circle. an ellipse. a line segment. x(t) = 3 cos (2t); y(t) = 2 sin(3t) traces a circle. a different kind of curve. a line. a line segment. an ellipse. O a parabola.
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