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Area, Volume, and Arc Length

Area, Volume, and Arc Length

Exercises

Page (2 of 4) Exercises:   1    2    3    4  

Exercise 2

The equations x(t) = cos t and y(t) = 2sin t describe a parametric curve.

(a) Write an integral expression for the length of the portion of the curve graphed below.

(b) Use a calculator to evaluate your integral and explain why your answer is reasonable.

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