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When the Ellipse B2x2 + A2y2 = A2b2 Is Rotated π\pi

Question 93

Multiple Choice

When the ellipse b2x2 + a2y2 = a2b2 is rotated about the x-axis, the volume V of the spheroid is 4 π\pi ab2/3. If a and b are each increased by 1%, use differentials to find the approximate percentage change in V.


A) increase of 1%
B) increase of 2%
C) increase of 3%
D) increase of 4%
E) increase of 5%

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