c) Show that this velocity field satisfies conservation of mass for an incompressible flow and determine the stream function. d) Plot the streamline through the same point as in parts a and b, this time using the fact that the streamline is a contour of the stream function. Give the (implicit) equation for this streamline, and compare your plot to parts a and b. Consider the following two-dimensional velocity field: v = −y₁+xj

4. A steady, incompressible, and two-dimensional velocity field is given by the following components in the xy-plane: Vxu = 2.65 + 3.12x + 5.46y = Vy= =v=0.8+ 5.89x² + 1.48y = Calculate the acceleration field (find expressions for acceleration components ax and ay and calculate the acceleration at the point (x,y) = (-1,3).

A steady, incompressible, two-dimensional velocity field is given by the following components in the xy-plane:                                                                                  u = 1.85 + 2.05x + 0.656y                                                                                    ? = 0.754 − 2.18x − 2.05yCalculate the acceleration field (find expressions for acceleration components ax and ay), and calculate the acceleration at the point (x, y) = (−1, 3).

A 2D velocity field is given by V = (u, v) = (2.5 - 1.9x, 0.65 + 0.9y), where the coordinates are in m and the velocity is in m/s. Find the volumetric strain rate (in s^(-1))