A metal cube dissolves in acid such that an edge of the cube decreases by 0.60 mm/min. How fast is the volume of the cube changing when the edge is 7.30 mm? The volume is changing at a rate of mm /min. (Round to the nearest integer as needed.)For the demand function q = D(p) = 1296 - p, find the following. a) The elasticity b) The elasticity at p = 115, stating whether the demand is elastic, inelastic or has unit elasticity c) The value(s) of p for which total revenue is a maximum (assume that p is in dollars) a) Find the equation for elasticity. E(p) = b) Find the elasticity at the given price, stating whether the demand is elastic, inelastic or has unit elasticity. E(115) = (Simplify your answer. Type an integer or a fraction.) Is the demand elastic, inelastic, or does it have unit elasticity? inelastic O elastic O unit elasticity c) Find the value(s) of p for which total revenue is a maximum (assume that p is in dollars). $ (Round to the nearest cent. Use a comma to separate answers as needed.)e Find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur. ni f(x) = x - 10x- 7; [1,6] The absolute maximum value is at x = (Use a comma to separate answers as needed.) The absolute minimum value is at x = (Use a comma to separate answers as needed.)Purchase Find the average value over the given interval. Communi y =5e -X. *; [0, 1] .. The average value is (Type an exact answer.)