Suppose ,y, z)=1x2+y2+z2√ and w is the bottom half of a sphere of radius 2. enter as rho, phi as phi, and theta as theta. (a) as an iterated integral, ∫∫∫=∫∫∫ with limits of integration

The pressure, volume, and temperature of a mole of an ideal gas are related by the equation pv = 8.31t, where p is measured in kilopascals, v in liters, and t in kelvins. use differentials to find the approximate change in the pressure if the volume increases from 14 l to 14.6 l and the temperature decreases from 375 k to 370 k. (round the answer to two decimal places.)