Intravenous (IV) infusions are frequently used to deliver drugs to patients. Controlling the infusion rate, and understanding the factors that affect infusion rate, are critical to safe and effective drug infusion treatments. I would like you to apply your knowledge of Bernoulli's principle (including loss terms) to simulate IV infusion into a patient using an IV infusion set and venous catheter. The situation you are mathematically modeling is an IV bag with a drip chamber, suspended at a height h above the catheter needle insertion site in the patient, as pictured. Your mathematical model should reflect the following details: • h = height from the fluid level in the drip chamber to the venous catheter insertion site • Infusion fluid is 0.9% saline at room temperature • Venous catheter is inserted into a typical vein in the patient's arm • Infusion set tube length = 1.5 m • Catheter needle inner diameters are determined by the needle gauge; for venous catheters, needles are typically between 14 gauge and 24 gauge • Because of the small inner diameters of the infusion set tube and catheter needle, you must consider losses a. (20 pts) State all relevant assumptions that you made. b.