Exam 9: Extension D: Vectors and the Geometry of Space

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The graph of the following curve is given.Find the area that it encloses. The graph of the following curve is given.Find the area that it encloses.    The graph of the following curve is given.Find the area that it encloses.

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Find the length of the polar curve. Find the length of the polar curve.

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Find the area that the curve encloses. Find the area that the curve encloses.     Find the area that the curve encloses.

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Find the area of the region that lies inside the first curve and outside the second curve. Find the area of the region that lies inside the first curve and outside the second curve.

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Find the area enclosed by the curve Find the area enclosed by the curve

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Find the area of the region enclosed by one loop of the curve. Find the area of the region enclosed by one loop of the curve.

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