Suppose F(x, y) = (x,-xy) models the velocity of a fluid. Which of the following describes the flow of the fluid at the point (1, 7)? Select the correct answer below: O The amount of fluid flowing out is greater than the amount of fluid flowing in. O The amount of fluid flowing in is greater than the amount of fluid flowing out. The amount of fluid flowing in is equal to the amount of fluid flowing out.

Please show all steps to solve this problem so your thought process is easy to follow. Also please show all formulas that you used. Subject is fluid mechanics

If you decide to help, please help with all the parts of the question, I'm not sure I understand any of it... :/   The tank shown in the following figure is being filled by Pipes 1 and 2. The water level is to remain constant.   A tank of water is open at the top. The tank is filled from above by pipe 1 and pipe 2. Pipe 1 has diameter d1 = 1 in., and fills the tank with water at a velocity of V1 = 2 ft/s. Pipe 2 has diameter d2 = 1.25 in., and fills the tank with water at a velocity of V2 = 1.4 ft/s. Water empties from the bottom of the tank through pipe 3. Pipe 3 has diameter d3 = 1.5 in., and empties water from the tank at an unknown velocity V3. (a) What is the volume flow rate (in ft3/s) of Pipe 1? (b) What is the volume flow rate (in ft3/s) of Pipe 2? (c) What is the volume flow rate (in ft3/s) of water leaving the tank at 3? (d) What is the cross-sectional area (in ft2) of flow for Pipe 3? (e) What is the average velocity (in ft/s) of the water leaving the tank?

Find the velocity of A at the instant shown with respect to a fixed set of coordinate axes originating at O. Express your answer in component form. Express your answers, separated by commas, to three significant figures in m/s.   Calculate the acceleration of A with respect to the origin, O at the instant shown. Recall that the angular velocities, ωsωs and ωp have constant magnitudes. Express your answer in component form.

help me solve this differential analysis of fluid flow