Step-by-step explanation: To find the area of the region bounded by the ellipse x^2/25+y^2/9=1, we can use the formula for the area of an ellipse, which is given by:
Area = pi * a * b
where a and b are the semi-major and semi-minor axes of the ellipse, respectively. In this case, the semi-major axis is 5 (the coefficient of the x^2 term) and the semi-minor axis is 3 (the coefficient of the y^2 term). Therefore, the area of the region bounded by the ellipse is:
Area = pi * 5 * 3 = 15*pi
The area of the region bounded by the ellipse is approximately 47.1 square units.
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Answer:
Step-by-step explanation: To find the area of the region bounded by the ellipse x^2/25+y^2/9=1, we can use the formula for the area of an ellipse, which is given by:
Area = pi * a * b
where a and b are the semi-major and semi-minor axes of the ellipse, respectively. In this case, the semi-major axis is 5 (the coefficient of the x^2 term) and the semi-minor axis is 3 (the coefficient of the y^2 term). Therefore, the area of the region bounded by the ellipse is:
Area = pi * 5 * 3 = 15*pi
The area of the region bounded by the ellipse is approximately 47.1 square units.