The centroid of the region is at (-4, 6) and it has an area equal to 32/3 unit?. What is the volume generated when the bounded region is revolve about y = -3? Select the correct response: O 2227 units O 1927 units O 284T unit3 O 1647 unit3 The region is bounded by y=x -4, y + 4 =0. and x -2 =0. Find the integral in finding the volume of the solid about the line x = 2. Select the correct response: O V-no (2x2 + x3) dx O V = 2n fo (2x2 - x3) dx Ov=n (2x2 - x3) dx O V =2n S (2x2 + x3 ) dx The region is bounded by x + 6 = 0 and y2 + x + 2 = 0 is revolved about x = -6 Find the integral in finding the volume of the solid generated. Select the correct response: V =nS_(4 -y2) dy OV = nl ( 4 - y2)2 dy OV = 2n J (4 -y2)2 dy OV =nS ( 4-y2)2 dySolve the problem below. Place your solution in a clean paper and take a photo. Upload your answer in PDF file format Find the centroid of the region bounded by y = 8x - x2 and y = x - 8. 15 points Diagram 4 Area 2 Mx 3 My 3 Centroid 3