Let be the area of the region in the first quadrant boundedby the line the -axis, and

Chapter 14, Problem 41

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Let A be the area of the region in the first quadrant bounded by the line \(y=\frac{1}{2}x\), the x-axis, and the ellipse \(\frac{1}{9}x^2+y^2=1\). Find the positive number m such that A is equal to the area of the region in the first quadrant bounded by the line y = mx, the y-axis, and the ellipse \(\frac{1}{9}x^2+y^2=1\).

Text Transcription:

y=1/2 x

1/9 x^2 +y^2 =1

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