1) One of the laws attributed to Poiseuille models the volume of a fluid flowing through a small tube in unit time under fixed pressure by the formula, V = KR where k is a positive constant and R is the radius of the tube. This formula is used in medicine to determine how wide a clogged artery must be opened to restore a healthy flow of blood. Suppose the radius of a certain artery is increased by 5 % . Determine the effect this has on the volume of blood flowing through the artery. In other words, determine the percentage increase in the volume of the blood after the artery is increased by 5 % . Increase in blood volume is % 2) A water trough is 3 feet deep and 14 feet long. It has a trapezoidal cross section with base lengths of 3 feet and 6 feet. W W L front view a L a side view h b a. Write the volume of the water in the trough, V as a function of the depth, h, of the water at that time. V = b. If water enters the trough at the rate of 12 J how fast is the water level rising when the water is min' 2 foot deep? Water is rising at a rate of ft/min