az az Use the chain rule to find and as at z = e cos(0), r = st, 0 = V 8 S + 8 az 8 8 = te cos S - 8s'e sin S 18 ) as X az 8t OC = se COS S + 18) - 8testsin($ 8 + 8 ) at XUse the equations OF OF dz ax az ay and OF ax OF ay az az az oz to find and ax ay ez = 6xyz ax az ayThe length {, width w, and height h of a box change with time. At a certain instant the dimensions are { = 5 m and w = h = 9 m, and i and w are increasing at a rate of 1 m/s while h is decreasing at a rate of 2 m/s. At that instant find the rates at which the following quantities are changing. (a) the volume (in m /s) 216 x m'/s (b) the surface area (in m2/s) 120 1 x m2/s (c) the length of a diagonal (in m/s) (Round your answer to two decimal places.) 2.340 X m/s