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) = 7 - 4x Step 1: f(x + h) = Step 2: f(X + h) f(X) =