Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61b74698-3f34-41c6-b209-082ec83323f3%2F5af741c1-08eb-450f-a7ec-aa47699ce938%2Ftvxxjle_processed.png&w=3840&q=75)
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F61b74698-3f34-41c6-b209-082ec83323f3%2F5af741c1-08eb-450f-a7ec-aa47699ce938%2Fxvi8jzp_processed.png&w=3840&q=75)
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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