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1. Graph the curve given in parametric form by x = e t sin(t) and y...

1. Graph the curve given in parametric form by x = e t sin(t) and y = e t cos(t) on the interval 0 ≤ t ≤ π2.

2. Find the length of the curve in the previous problem.

3. In the polar curve defined by r = 1 − sin(θ) find the points where the tangent line is vertical.

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