Consider the parametric surface given by x aupsilon cos ups

Consider the parametric surface given by x = aupsilon cos upsilon, z = bupsilon (0 less than or equal to upsilon less than or equal to 1, 0 less than or equal to aupsilon less than or equal to 2 pi) where a and b are positive constants. a). Describe this parametri surface and use Matlab to visualise it. b). Find the area of this surface.

Solution

>> v=linspace(0,2*pi);
>> x=cos(v);
>> y=sin(v);
>> z=v;
>> plot3(x,y,z)