To draw the ellipse shown in the figure, you need to derive the expressions for the x and y coordinates of the boundary points in parametric equations. (a) Derive the expression for the ellipse that is located at the origin and oriented with its major axis in the x direction. (b) Apply the proper transformations to the expression derived in (a) to get the parametric equation of the ellipse shown. Y 5 3 30⁰ X Figure 1 Ellipse Location and Orientation
To draw the ellipse shown in the figure, you need to derive the expressions for the x and y coordinates of the boundary points in parametric equations. (a) Derive the expression for the ellipse that is located at the origin and oriented with its major axis in the x direction. (b) Apply the proper transformations to the expression derived in (a) to get the parametric equation of the ellipse shown. Y 5 3 30⁰ X Figure 1 Ellipse Location and Orientation
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 36E
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![1. To draw the ellipse shown in the figure, you need to derive the expressions for the
x and y coordinates of the boundary points in parametric equations.
(a) Derive the expression for the ellipse that is located at the origin and oriented
with its major axis in the x direction.
(b) Apply the proper transformations to the expression derived in (a) to get the
parametric equation of the ellipse shown.
Y
5
3
2
30⁰
X
Figure 1 Ellipse Location and Orientation](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc930c875-5b7b-45b2-b4f1-2efe42a99b77%2F036479c3-60bb-4745-a84b-ab7d9cce332e%2F1gqpprl_processed.png&w=3840&q=75)
Transcribed Image Text:1. To draw the ellipse shown in the figure, you need to derive the expressions for the
x and y coordinates of the boundary points in parametric equations.
(a) Derive the expression for the ellipse that is located at the origin and oriented
with its major axis in the x direction.
(b) Apply the proper transformations to the expression derived in (a) to get the
parametric equation of the ellipse shown.
Y
5
3
2
30⁰
X
Figure 1 Ellipse Location and Orientation
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