(4) Use the given transformations to find the integral a) transformation u = y/x, v = xy to find / / zyadA, R: region in 1t quadrant enclosed

I am having a hard time understanding these practice problems. can you show me in steps, how these problems are be solved.

(4) Use the given transformations to find the integrala) transformation u = y/x, v = xy to find / / zyadA, R: region in 1"t quadrant enclosed by y = z, y = 3x,xy = 1, xy = 4b transformation u = (x+y)/2, v = (x -y)/2 to find //sin(x+y)/2 cos(x -y)/2dA, R: triangular regionwith vertices (0, 0), (2, 0), (1, 1)c) transformation u = x, v = z - y, w = ry to find3, z =y, 2 =y+1, zy = 2, ry = 4a f lef rule-u) av , G: region enclosed by ? = 1, z =(5) Find the volume using double or triple integration1) Compute the double or triple integralsa) Solid in the first octant bounded by the coordinate planes, the plane y = 4, and the plane (x/3)+(z/5) = 1b) Solid bounded by the cylinder x2 + y? = 9 and the plane z = 0 and z = 3 - xc) Solid bounded above by the paraboloid 9x2 + y? = z and below by the plane z = 0 and z = 3 - x andlaterally by the planes x = 0, y = 0, x = 3, and y = 2d) The wedge cut from the cylinder 4x2 + y? = 9 by the plane z = 0 and z = y + 3e) Solid in the first octant bounded by the coordinates planes and the plane 3x + 6y + 4z = 12f) Solid bounded by the y = z? the planes y + z = 4 z = 0g) The wedge in the first octant that is cut from the solid cylinder y? + z? < 1 by the plane x = 0 and y = a(6) Reverse the order of integration write triple integrals as dzdydr. Evaluate a3); a4)a1) fif f(z, M)dyda ..2) fe In fa, U)dady ..3) for fire ' duda a4) fi fer dadycos( zyz )drdydzhe be) for do . coo( zyz )dyded b3) f cos (zyz)drdzdy(cos(zzyz)dandyde 62) / Jo Jo cos(aryz )dudeda c3) cos(zyz)didzdy(7) Express the volume of the solid as a double integral first in rectangular coordinates, next in polarcoordinatesa) solid outside x2 +y? = 1 and inside x?+y? +2? = 9and above z = 0b) solid below z = Vx2 + y?, inside z? +y? = 2yc) solid below z = 1 - x? - y?, inside x? + y? - x = 0 and above z = 0(8) Let N = /e #* da Use double integration to evaluate N2. What is N?(9) Use polar coordinates to find the volume of the solid above the xy-plane, inside the cylinder x2+y2-2y =0 and inside the ellipsoid 9x2 + 9y2 + 4z? = 36