a)it asks for all 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