Chapter 11: Q 11.42. (page 1109)
Graph: .
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The graph of an ellipse is shown below:
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Chapter 11: Q 11.42. (page 1109)
Graph: .
The graph of an ellipse is shown below:
The given ellipse is .
The standard form of an equation is .
From,observe thatthe equationis not in the standard form since both the and terms are squared and have different coefficients.
So, divide the equation both sides by to get the equation in standard form.
The equation is in standard form centered at the origin.
So, compare the equation with to find and .
Since and is in the term, the major axis will be horizontal.
The endpoints will be the -intercepts.
Since , .
Thus, the coordinates of the endpoints of the major axis are and .
The endpoints will be the -intercepts.
Since , .
Thus, the coordinates of the endpoints of the minor axis are and .
The graph of an ellipse is shown below:
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Show two different algebraic methods to simplify . Explain all your steps.
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Use the Zero Product Property in the following exercises to solve.
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