Find dy by implicit differentiation. dx 5/3 + y 5/3 = 12 dy = X dxAcceleration of a Falli 9 Object During the construction of an ofce building, a hammer is accidentally dropped from a height of 576 ft. The distance (in feet) the hammer falls in t sec is s = 16t What is the hammer's velocity when it strikes the ground? ft/sec What is its acceleration? ft/sec2 Average Cost for Producing Microwaves Let the total cost function C(x) be dened as follows. C(X) = 0.0004x3 - 0.02x2 + 96x + 5,100 Find the average cost function (3. Find the marginal average cost function E". Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers completely.) f(X) =74x (in years), then the child's dosage is given by the following function. at Dt= () t+12 Suppose the adult dosage of a substance is 440 mg. Find an expression that gives the rate (in mg/year) of change of a child's dosage with respect to the child's age. om = What is the rate of change (in mg/year) of a child's dosage with respect to his or her age for a 2-yr-old child? A 10-yr-old child? (Round your answers to three decimal places.) 2-yr-old 10-yrold mg/year mg/year