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If you have a parametric equation grapher, graph the equations over the given intervals in Exercises 51. Ellipse x = 4 cos t, y = 2 sin t, over a. 0

If you have a parametric equation grapher, graph the equations over the given intervals in Exercises 51. Ellipse x = 4 cos t, y = 2 sin t, over a. 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section: Chapter Questions
Problem 28RE
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If you have a parametric equation grapher, graph the equations over the given intervals in Exercises 51. Ellipse x = 4 cos t, y = 2 sin t, over a. 0 <t<2™ b. 0 <t<T c. -7/2 < t </2. 52. Hyperbola branch x = sect (enter as 1/cos(t)), y = tan t (enter as sin(t)/cos(t)), over a. -1.5 < t < 1.5 b. -0.5 < t < 0.5 c. -0.1 < t < 0.1. 53. Parabola x= 2t + 3, y= t² – 1, -2 <t< 2 54. Cycloid x = t – sin t, y = 1 – cos t, over a. 0 <t< 2 b. 0 <t< 4 c. T <t< 37. 55. Deltoid x = 2 cos t + cos 2t, y = 2 sin t – sin 2t; 0 <t < 2m What happens if you replace 2 with –2 in the equations for x and y? Graph the new equations and find out.
Transcribed Image Text:If you have a parametric equation grapher, graph the equations over the given intervals in Exercises 51. Ellipse x = 4 cos t, y = 2 sin t, over a. 0 <t<2™ b. 0 <t<T c. -7/2 < t </2. 52. Hyperbola branch x = sect (enter as 1/cos(t)), y = tan t (enter as sin(t)/cos(t)), over a. -1.5 < t < 1.5 b. -0.5 < t < 0.5 c. -0.1 < t < 0.1. 53. Parabola x= 2t + 3, y= t² – 1, -2 <t< 2 54. Cycloid x = t – sin t, y = 1 – cos t, over a. 0 <t< 2 b. 0 <t< 4 c. T <t< 37. 55. Deltoid x = 2 cos t + cos 2t, y = 2 sin t – sin 2t; 0 <t < 2m What happens if you replace 2 with –2 in the equations for x and y? Graph the new equations and find out.
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