1. The problem statement, all variables and given/known data Use parametrization to express the area of the surface as a double integral. tilted plane inside cylinder, the portion of the plane y+2z=2 inside the cylinder x^2+y^2=1 2. Relevant equations the area of a smooth surface r(u,v)=f(u,v)i+g(u,v)j+h(u,v)k a<=u<=b c<=v<=d is A=integral from c to d ( integral from a to b(|r subu X r subv|))dudv 3. The attempt at a solution x=x z=z y=2-2z r(x,z)=xi+(2-2z)j+zk r subx=i r subz=-2j+k r subx X r subz=| i j k |=-j-2k | 1 0 0 | | 0 -2 1 | |r subx X r subz |=sqrt(5) Area=integral 0 to 2pi(integral from 0 to 1(sqrt(5)r))drd(theta) =sqrt(5)*pi yet the answers have: Area=integral 0 to 2pi(integral from 0 to 1(sqrt(5)r/2))drd(theta) =sqrt(5)*pi/2 can someone please help?