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Properties of Parametric Arc Length

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I. The arc length of a parametric curve for $a \le t \le b$ is given by the formula ∫ab(dx/dt)2+(dy/dt)2 dt\int_{a}^{b} \sqrt{(dx/dt)^2 + (dy/dt)^2}\,dt.

II. In the arc length formula, if the derivatives $dx/dt$ and $dy/dt$ are positive, it is not necessary to square them.

III. The limits of integration, $a$ and $b$, are the parameter values corresponding to the endpoints of the curve.

Which of the above statements are true?

A

I only

B

I, II, and III

C

II only

D

I and III only

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