Josephood7

Find the surface area of that part of the plane 3x+2y+z=93x+2y+z=9 that lies inside the elliptic cylinder x236+y2100=1x236+y2100=1

For the surface with parametric equations r(s,t)=⟨st,s+t,s−t⟩r(s,t)=⟨st,s+t,s−t⟩, find the equation of the tangent plane at (2,3,1)(2,3,1).

Find the surface area of the helicoid (i.e., spiral ramp) given by the vector parametric equation

Find a vector parametric equation for the part of the saddle z=xyz=xy inside the cylinder x2+y2=81x2+y2=81.