Exercise 5.2.] Suppose the quantity demanded weeidy of a product is reiated to its unit price by the equation p+q2 = 144 where p is measured in dollars and q is measured in units of a thousand. What is the rate of change of the quantity demanded when at = 9, p = 63, and the unit price is increasing at the rate of$2fweek? Exercise 5.2.4 The demand function for a certain product is p = 4.0191? 0.1q +6 where p is the unit price in doiiars and q is the quantity demanded each week ( in units of a thousand). Compute the eiasticity of demand and determine whether the demand is inelastic, unitary, or elastic when q=10. Exercise 5.2.5 Air is being pumped into a sphericai baiioon at a constant rate of 3 cmS/s. How fast is the radius of the baiioon increasing when the radius reaches 5cm? Exercise 5.2.6 A cyiindricai tank standing upright ( with one circuiar base on the ground) has radius 20 cm. How fast does the water ievei in the tank drop when the water is being drained at 25 cm3/sec