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Write an equation of the ellipse with foci at (+3,0) and co-vertices at (0, +-1).

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Final answer:

The equation of the ellipse is (x-3)^2 + y^2/1 = 1.

Step-by-step explanation:

Since the foci are at (+3,0), we know that the center of the ellipse is at (3, 0). The co-vertices are at (0, ±1), so the distance from the center to each co-vertex is 1. This means that the value of 'a' in the equation of the ellipse is 1. Since the foci are on the major axis, the distance from the center to each focus is also 'c'. In this case, 'c' is 3. Finally, we can use the formula for the equation of an ellipse centered at the origin to find the equation of the ellipse:

(x-3)^2 + y^2/1 = 1

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