Match each of the following parametric Equations with a plane curve : x(t) = 3 + 5cos(t), y(t) = 4 + 3 sin(t), te [0, 2π] x(t) = 3 + 8t, y(t) = - 4 + 7t, ter x(t) = 3 + 5cos(t), y(t) = 4 + 5 sin(t), te [0, 2π] < 1. Parabola Opens to the Left 2. Lower Branch of a Hyperbola 3. Straight Line
Match each of the following parametric Equations with a plane curve : x(t) = 3 + 5cos(t), y(t) = 4 + 3 sin(t), te [0, 2π] x(t) = 3 + 8t, y(t) = - 4 + 7t, ter x(t) = 3 + 5cos(t), y(t) = 4 + 5 sin(t), te [0, 2π] < 1. Parabola Opens to the Left 2. Lower Branch of a Hyperbola 3. Straight Line
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 35E
Related questions
Question
![Match each of the following parametric Equations with a plane curve :
x(t) = 3 + 5cos(t),
y(t) = 4 + 3 sin(t),
t = [0, 2π]
x(t) = 3 + 8t,
y(t) = - 4 + 7t,
te R
x(t) = 3 + 5cos(t),
y(t) = 4 + 5 sin(t),
te [0, 2π]
x(t) = 3 - 2t,
y(t) = -2 + 4t,
te [0, 1]
x(t) = 1 - 4t²,
y(t) = 2t,
ter
x(t) = 3 + 6sinh(t),
y(t) = 2 + 6 cosh(t),
ter
x(t) = 3 - 6cosh(t),
y(t) = 2 + 6 sinh(t),
ter
x(t) = -2t,
y(t) = 4t²-3,
te R
1. Parabola Opens to the Left
2.
Lower Branch of a Hyperbola
3.
Straight Line
4.
Circle
5.
Right Hand Branch of a Hyperbola
6. Straight Line Segment
7.
Ellipse
8.
Parabola Opens Up
9.
Left Hand Branch of Hyperbola
10. Parabola Opens Down
11. Upper Branch of Hyperbola
12. Parabola Opens to the Right](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F008f31aa-ffde-472d-81b9-49fb75f4a0c2%2F9fac213c-a650-4503-bb01-1df213cfbcc3%2Faezm0w_processed.png&w=3840&q=75)
Transcribed Image Text:Match each of the following parametric Equations with a plane curve :
x(t) = 3 + 5cos(t),
y(t) = 4 + 3 sin(t),
t = [0, 2π]
x(t) = 3 + 8t,
y(t) = - 4 + 7t,
te R
x(t) = 3 + 5cos(t),
y(t) = 4 + 5 sin(t),
te [0, 2π]
x(t) = 3 - 2t,
y(t) = -2 + 4t,
te [0, 1]
x(t) = 1 - 4t²,
y(t) = 2t,
ter
x(t) = 3 + 6sinh(t),
y(t) = 2 + 6 cosh(t),
ter
x(t) = 3 - 6cosh(t),
y(t) = 2 + 6 sinh(t),
ter
x(t) = -2t,
y(t) = 4t²-3,
te R
1. Parabola Opens to the Left
2.
Lower Branch of a Hyperbola
3.
Straight Line
4.
Circle
5.
Right Hand Branch of a Hyperbola
6. Straight Line Segment
7.
Ellipse
8.
Parabola Opens Up
9.
Left Hand Branch of Hyperbola
10. Parabola Opens Down
11. Upper Branch of Hyperbola
12. Parabola Opens to the Right
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