1. Find the arc length of the curve represented by the parametric equations over the given interval: x= 2(cos t + t sin t) and y= 2(sin t – t cos t), 0<_ t <_pi
2. at what points on the curve x= 2t3, y= 1 + 4t – t2 does the tangent line have slope 1?
3. find the exact are length of the curve x= t sin t, y=t cos t, 0<_ t <_1.

 

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