Hey darekau.
What exactly is π3 and π2? Also what directions are u and v? (For example is u in the east/west and v in the north/south directions?)
Below is a question I have for an assignment. It is saying that number 2 is wrong. Cannot for the life of me work out why. Please help
Let A be the area of the hemisphere of radius 8 which given by:
x2+y2+z2=64 where 0≤z≤4
1. Indicate the correct parameterisation of the surface:
(x,y,z)=S(u,v)=64(cosusinv,sinusinv,cosv); where 0≤u≤2π,π3≤v≤π2 (x,y,z)=S(u,v)=8(cosusinv,sinusinv,cosv); where 0≤u≤2π,π3≤v≤π2 (x,y,z)=S(u,v)=8(cosusinv,sinusinv,cosv); where 0≤u≤2π,0≤v≤π3 (x,y,z)=S(u,v)=8(cosusinv,sinusinv,cosv); where 0≤v≤2π,π3≤u≤π2 2. Find the normal to the surface N(u,v)=∂S∂u×∂S∂v= 64( -cos u sin^2 v, -sin u sin^2 v, -sin v cosv) Answer is a Vector 3. Evaluate the area A= Answer is a Number