Questions from General Calculus


Q: (a) If an ellipse is rotated about its major axis

(a) If an ellipse is rotated about its major axis, find the volume of the resulting solid. (b) If it is rotated about its minor axis, find the resulting volume.

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Q: Find the centroid of the region enclosed by the x-axis

Find the centroid of the region enclosed by the x-axis and the top half of the ellipse 9x2 + 4y2 = 36.

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Q: (a) Calculate the surface area of the ellipsoid that is

(a) Calculate the surface area of the ellipsoid that is generated by rotating an ellipse about its major axis. (b) What is the surface area if the ellipse is rotated about its minor axis?

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Q: Test the series for convergence or divergence. /

Test the series for convergence or divergence.

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Q: Find the area of the region that is bounded by the given

Find the area of the region that is bounded by the given curve and lies in the specified sector.

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Q: Find the area of the region that is bounded by the given

Find the area of the region that is bounded by the given curve and lies in the specified sector.

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Q: Find the area of the region that is bounded by the given

Find the area of the region that is bounded by the given curve and lies in the specified sector.

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Q: Find the area of the region that is bounded by the given

Find the area of the region that is bounded by the given curve and lies in the specified sector.

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Q: Find the area of the shaded region. /

Find the area of the shaded region.

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Q: Find the area of the shaded region. /

Find the area of the shaded region.

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