Equations of ellipses and hyperbolas Find an equation of the following ellipses and hyperbolas, assuming the center is at the origin. An ellipse whose major axis is on the x-axis with length 8 and whose minor axis has length 6
Equations of ellipses and hyperbolas Find an equation of the following ellipses and hyperbolas, assuming the center is at the origin. An ellipse whose major axis is on the x-axis with length 8 and whose minor axis has length 6
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.2: The Ellipse
Problem 1SC: Self Check Find an equation in the standard form of the ellipse with center at the origin, major...
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Equations of ellipses and hyperbolas Find an equation of the following ellipses and hyperbolas, assuming the center is at the origin.
An ellipse whose major axis is on the x-axis with length 8 and whose minor axis has length 6
Expert Solution
Step 1
Concept:
The calculus helps in understanding the changes between values that are related by a function. It is used in different areas such as physics, biology and sociology and so on. The calculus is the language of engineers, scientists and economics.
Step 2
Given:
To find the equation by assuming the center is at the origin
x-axis with length 8 and minor axis has length 6
Given:
2a=8
a=4
And
2b=6
b=3
Step 3
Hence an equation of the required ellipse is
Vertices are
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