Ex9: A solid has its base, R, formed by y = 5x - x² and y = x in the xy-plane. Find the volume of the solid if every cross section by a plane perpendicular to the x-axis is a a) Square b) Semicircle

Ex10: A solid has its base, R, formed by x = y² - 3 and x = y + 1 in the xy-plane. Find the volume of the solid that has R as its base if every cross section by a plane perpendicular to the y-axis has the given an a) Equilateral triangle b) Rectangle with height 3

6) Find the volume of the solid in the first octant bounded by the plane 3x +4z=12, y = 2 and the 3 coordinate planes. Use rectangular coordinates.

solve 2 only

Choose the correct awnser. Find the volume of the solid whose base is the region enclosed by the semi-circle y=(1-x^2)^1/2 and the x-axis, and whose cross-sections perpendicular to the x-axis, and whose cross-sections perpendicular to the x-axis are squares.  a) 3/2  b) 5/4  c) 6/5  d) 4/3  e) pi/2  f) 1