Concept explainers
a.
Calculate the standard form of the equation of the ellipse.
a.
Answer to Problem 33RE
The standard form of equation is
Explanation of Solution
Given:
It is given in the question that the expression is
Concept Used:
In this, use the concept of ellipse and the standard equation be
Calculation: Here, the expression is
Now,
Conclusion:
The standard form of equation is
b.
Calculate the center, vertices, foci and eccentricity of the ellipse.
b.
Answer to Problem 33RE
The centre, vertices, foci and eccentricity are
Explanation of Solution
Given: It is given in the question that the standard form is
Concept Used:
In this, use the concept of ellipse and understanding the standard equation and get the result.
Calculation: Here, the equation is
Here, centre =
Since, it a horizontal major axis with
Now, the vertices will be
Now, c will be
Now, the foci will be
And the eccentricity is
Conclusion:
The centre, vertices, foci and eccentricity are
c.
Draw the graph of the ellipse.
c.
Explanation of Solution
Given: It is given in the question that the expression is
Graph:
Interpretation:
Here, the expression is
Chapter 9 Solutions
Precalculus with Limits: A Graphing Approach
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