1. Find the area enclosed by the curve x = t^2 - 2t, y = sqrt(t) and the y-axis.
2. Find a Cartesian equation for the curve and identify it. r^2 cos 2θ = 1
3. Find a polar equation for the curve represented by the given Cartesian equation. x^2 + y^2 = 4cx
4. Find the exact length of the curve. x = 5 cos t - cos 5t, y = 5 sin t - sin 5t, 0 ≤ t ≤ π
5. Find the exact length of the curve. x = 7 + 3t^2, y = 6 + 2t^3, 0 ≤ t ≤ 4