Determine the surface area of the region bounded by the curves: r(0) = 2 + 4cose, r(0) = 2 2. Determine the arc length of the plane curve: x=8t² y = 3 + 8(t-1)³ 0 ≤ t ≤ 4 3. Determine an equation of the tangent line at the given point r = 4-8sin (8) at the angle 4. Find the arc length of the curve r = sin (30),cos (40) 0 ≤ 0 ≤ 2π 5. Find the tangent line to the polar curve x(t) = ²6t+1, y(t) = t³ +5t + 2 6. Determine the length of the curve: r=3sin (0) 0≤O ST &. Find the area between the inner and the outer loop r= 12cos (0)