MAT237Y1 : Additional Exercises 3
Document Summary
Since the integral cannot be evaluated directly, we have to reverse the order of integration. The region of integration is also be described as. 1 (b) [6 marks] suppose that the mass density d of the body occupying the region v in the first octant bounded by the cylinder d = Note that the plane region on xy-plane we have intersects the xy-plane along the line y = 1. , and the coordinate planes is given by where f is continuous on v. write an iterated integral which gives the mass m of the body. Projecting the region on the yz-plane we may write m. 2. (a) [5 marks] by making a suitable change of variables, evaluate the double integral. , where d is the rectangle bounded by the lines. D e x yx (2) du da ueu dvv xy day vue u (b) [5 marks] let f.
