Please show all steps on how to get to the answer!

x = 31 1. Find the equation of the line tangent to the curve with parametric equations ly =12 +1 at t = 2. x = 4 cos0 2. Find the equation of the line tangent to the curve with parametric equations y = 9 sine at 8 = X=P- 3t 3. Find an equation for the line tangent to the curve with parametric equations y = 12 - 5t at t = 4. 4. Determine the values of t where the tangent lines to the curve with parametric equations y = 12 - 5t are horizontal and where they are vertical. x = a cost + at sint 5. Compute the length of the curve given by 2' y = a sint - at cost The a represents a positive constant.X = Int 6. Find and equation of the line tangent to the curve with parametric equations y = 12 at t = e. x = a(t - sin f) 7. Calculate the surface area generated when the cycloid (0