8.4. Arc Lengths and Areas for Parametric Curves
September 12, 2011
2.
Hint:By the definition of the arc length of a parametric curve.
4.
Hint:By the definition of the arc length of a parametric curve.
6.
Hint:By the definition of the arc length of a parametric curve.
8.
Hint:By the definition of the arc length of a parametric curve.
10.
Hint:By the definition of the area of the surface of a parametric curve rotating about the x-axis or y-axis.
12.
Hint:By the definition of the area of the surface of a parametric curve rotating about the x-axis or y-axis.
14.
Hint:By the definition of the area of the surface of a parametric curve rotating about the x-axis or y-axis.
16.
Hint:Observe the symmetry property of the curves, and by the definition of the area bounded by the parametric curves.
18.
Hint: By the definition of the area bounded by the parametric curves.
20.
Hint:Observe the symmetry property of the curves, and by the definition of the area bounded by the parametric curves.
22.
Hint: By the definition of the volume revoluted by the parametric curve.
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