Find the volume of the region bounded above by the surface z equals 3 cosine x sine yz=3cosxsiny and below by the rectangle r: 0 less than or equals x less than or equals startfraction pi over 2 endfraction comma 0 less than or equals y less than or equals startfraction pi over 3 endfractionr: 0≤x≤ π 2, 0≤y≤ π 3.

Suppose that the price p, in dollars, and the number of sales, x, of a certain item follow the equation 4 p plus 4 x plus 2 pxequals56. suppose also that p and x are both functions of time, measured in days. find the rate at which x is changing when xequals2, pequals6, and startfraction dp over dt endfraction equals1.5.