Match each of the following parametric Equations with a plane curve : x(t) = 3 + 6sinh(t). y(t) = 2 + 6 cosh(t). TER x(t) = 3 + 5cos(t), y(t) = -4 +5 sin(t). t = [0, 2π] x(t) = -2t, y(t) = 4t²-3. TER 1. Parabola Opens 2. Lower Branch of 3. Straight Line

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
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Match each of the following parametric Equations with a plane curve :
x(t) = 3 + 6sinh(t),
y(t) = 2 + 6 cosh(t),
TER
x(t) = 3 + 5cos(t),
y(t) = -4 +5 sin(t),
t = [0, 2π]
x(t) = -2t,
y(t) = 4t²-3.
tER
x(t) = 3 + 5cos(t),
y(t) = -4+3 sin(t).
t = [0, 2π]
x(t) = 3-6cosh(t).
y(t) = 2 + 6 sinh(t) .
tER
x(t) = 3 + 8t,
y(t) = -4+7t,
tER
x(t)=3-2t,
y(t) = -2 + 4t,
t = [0,1]
x(t)=1-4t².
y(t) = 2t,
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.
10. Parabola Opens Down
11. Upper Branch of Hyperbola
12. Parabola Opens to the Right
Left Hand Branch of Hyperbola
Transcribed Image Text:Match each of the following parametric Equations with a plane curve : x(t) = 3 + 6sinh(t), y(t) = 2 + 6 cosh(t), TER x(t) = 3 + 5cos(t), y(t) = -4 +5 sin(t), t = [0, 2π] x(t) = -2t, y(t) = 4t²-3. tER x(t) = 3 + 5cos(t), y(t) = -4+3 sin(t). t = [0, 2π] x(t) = 3-6cosh(t). y(t) = 2 + 6 sinh(t) . tER x(t) = 3 + 8t, y(t) = -4+7t, tER x(t)=3-2t, y(t) = -2 + 4t, t = [0,1] x(t)=1-4t². y(t) = 2t, 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. 10. Parabola Opens Down 11. Upper Branch of Hyperbola 12. Parabola Opens to the Right Left Hand Branch of Hyperbola
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