Can someone help me with these problems?

Question 1:

The given curve is rotated about the yaxis. Find the area of the resulting surface. y=x3j2, 55x12 S The given curve is rotated about the y-axis. Find the area of the resulting sun'ace. X2f3+y2i3=9, 05y527 S Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = 2x, y = 0, x =1 2 2 1 1 X X O 2 2 1 1\fSketch the region bounded by the curves, and Visually estimate the location of the centroid. y=e, y=D, x=D, X=3 Y 01 1 2 3 4 Find the exact coordinates of the centroid. (2, i7} =( ) Find the centroid of the region in the first quadrant bounded by the given curves. y = X 2 x = 12 (x, =