(i) Let f be an integrable function. Consider the double intergral 3 3- 51, 5(8,9)dA = L.* $(2, 2) dr dy+ SI [ /" fxy $
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(i) Let f be an integrable function. Consider the double intergral 3 3- 51, 5(8,9)dA = L.* $(2, 2) dr dy+ SI [ /" fxy $
(i) Let f be an integrable function. Consider the double intergral 3 3- 51, 5(8,9)dA = L.* $(2, 2) dr dy+ SI [ /" fxy $ .** (2,y) dr dy = dx + 0 Express this double integral as an iterated integral in the reverse order of inte- gration dy dx. Show all working. (ii) Determine the volume below the surface z = e-y? and above the triangle in the x-y plane bounded by the lines y = 3, y: = x and the y-axis. Show all working.
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