Double integral transfer
Density is rho(x,y)=x+y on rectangle 0<=x<=2, 0<=y<=1. Mass is double integral rho dA.
- Integrate x+y over y then x; units are mass.
- Defend the transfer, name its boundary, and leave an auditable reasoning trail.
partial derivatives, gradients, multiple integrals, and optimization
Density is rho(x,y)=x+y on rectangle 0<=x<=2, 0<=y<=1. Mass is double integral rho dA.
Pause. Find what matters. Then make your move.