For a certain product, cost C and revenue R are given as follows, where x is the number of units sold in hundreds. Revenue: 898(x - 5)2 + 22R2 = 13,750 dC a. Find the marginal cost a at x=5. The marginal cost is estimated to be $|:|. (Do not round until the nal answer. Then round to the nearest hundredth as needed.) dR b. Find the marginal revenue 5 at x = 5. The marginal revenue is estimated to be $|:|. (Do not round until the nal answer. Then round to the nearest hundredth as needed.) dy dx Assume x and y are functions of t. Evaluate for 3xy - 6x + 2y = -20, with the conditions = -8, x=2, y= - 1. dt dt dy dt (Type an exact answer in simplified form.)According to Poiseuille's laws, the velocity V of blood is given by V = k(R2 - r2) where R is the radius of the blood vessel, r is the distance of a layer of blood flow from the center of the vessel, and k is a constant. A patient takes blood vessel dilation medication so that her blood velocity is modeled by Poiseuille's law with k= 592.1. Find the rate of change of the blood velocity when R = 0.06 mm and R is changing at 0.008 mm per minute. Assume r is constant. The blood velocity is increasing at mm per minute each minute. (Round to the nearest thousandth as needed.)