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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 1. Parabola Opens 2. Lower Branch of 3. Straight Line

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 & Trigonometry with Analytic Geometry
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
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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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