Question: Integrate the given function on the given reglon after first making a shetch or cartooe of the region which is good enough to determine an
Integrate the given function on the given reglon after first making a shetch or cartooe of the region which is good enough to determine an appropriste onder of intecrition. Noxt, oompute the averager malse of the function over the given regioe.(a)f(x,y)=sin(x2)D is the triangular repion with vertions (2,0),(2,22), and (0,0)-(b)f(x,y)=yD is the triangular region with vertioes: (2,0),(2,4), and (6,0).(c)f(x,y)=y2D is the trmpeacital recion wich vertions: (0,0),(0,1),(4,0), and (5,1).(d)f(x,y)=yD is the tripenidel region with vertions (0,0),(1,0),(0,4), and (1,6)(e)f(x,y)=1D is the bounded compoovent of the fint quadrant which ia bounded by x2y2=16.(f)f(x,y)=yD is the bousded pert of the first quadrant trapped betevens the earve y=2x13 and y=x2.(e)f(x,y)=y2D in the bounded part of the poise trapped betwon the curves y=x316 and y=x2.(b)f(x,y)=rD is the region bonalod by the curver y=0,y=2r,y=8r. and x=6 ala y.(0)f(x,y)=3D is the rejoes gves if
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