What are the assumptions needed to reduce the continuity equation DM/Dt = partialderivative/partialderivative integral_cv rho d for all + integral_cs rho V vector middot n cap d A to V_1 A_1 = V_2 A_2? Solution Flow is steady(velocity at each point is constant with time) Fluid is incompressible (density is constant) Flow is irrotational (no turbulence) Flow is non viscous.

1. What are the asymptotes of 25x2 + 250x - 36y2 - 576y = 2579
Solution
given equation can be written as
25(X+5)^2 - 625 - 36(Y+8)^2 +2304 = 2579
(X+5)^2 / 36 - (Y+8)^2 / 25 = 1
it is a hyperbola equation
The center of the hyperbola is (5 , -8).
The x term is positive, indicating a horizontal hyperbola.
The transverse axis is y = -8