...x=2-3cos(t)

y=1+2sin(t)

a)it asks forall points for vertical and horizontal tangency, which im not sure we covered in class or i dont understand it

vertical ... dy/dx = (dy/dt)/(dx/dt) is undefined.

horizontal ... dy/dx = (dy/dt)/(dx/dt) = 0.

b) eliminate the parameter

cos(t) = (2-x)/3

sin(t) = (y-1)/2

now use the fact that sin^2(t) + cos^2(t) = 1

cartesian equation will be an ellipse

c) setup integral for area of surface by generated by revolving around line y=1.

have to think about this one