• 沒有找到結果。

8.4. Arc Lengths and Areas for Parametric Curves

N/A
N/A
Protected

Academic year: 2022

Share "8.4. Arc Lengths and Areas for Parametric Curves"

Copied!
1
0
0

加載中.... (立即查看全文)

全文

(1)

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.

1

參考文獻

相關文件

Set up and evaluate the definite integral that yields the total loss of value of the machine over the first 3 years

Set up and evaluate the definite integral that yields the total loss of value of the machine over the first 3 years

Stokes’ Theorem Let S be an oriented piecewise-smooth surface that is bounded by a simple, closed, piecewise-smooth boundary curve C with positive orientation.. (Orient C to

(a) (4%) Show that the area of an ellipse with the semi-major axis of length a and the semi-minor axis of length b is abπ.. The door is opened or closed by rotating OB about

32.Start from the definition of derivative, then find the tangent line equation.. 46.Find the product of their slopes at there

Full credit if they got (a) wrong but found correct q and integrated correctly using their answer.. Algebra mistakes -1% each, integral mistakes

If a and b are fixed numbers, find parametric equations for the curve that consists of all possible positions of the point P in the figure, using the angle  as the parameter.. If

Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require