- #1
blacksoil
- 2
- 0
1. Problem:
A fluid has density 1000 km/m3 and flows with velocity V =<x,y,z>, where x, y, and z are measured in meters, and the components of V are measured in meters per second. Find the rate of flow outward through the part of the paraboloid z = 64 - x^2 - y^2 that lies above the xy plane.
2. Relevant Equation:
Double Integral (Density*V ds)
Where V is the velocity function
3. The Attempt at a Solution
The only formula i found to solve this problem is formula above(2) which requires me to have the parametric equation for the paraboloid.. The thing is I really have no idea how to turn the paraboloid equation above into parametric equation
Helps are really appreciated...
A fluid has density 1000 km/m3 and flows with velocity V =<x,y,z>, where x, y, and z are measured in meters, and the components of V are measured in meters per second. Find the rate of flow outward through the part of the paraboloid z = 64 - x^2 - y^2 that lies above the xy plane.
2. Relevant Equation:
Double Integral (Density*V ds)
Where V is the velocity function
3. The Attempt at a Solution
The only formula i found to solve this problem is formula above(2) which requires me to have the parametric equation for the paraboloid.. The thing is I really have no idea how to turn the paraboloid equation above into parametric equation
Helps are really appreciated...