Consider the solid that lies above the square (in the xy-plane) R = [0, 1] x [0, 1], and below the elliptic paraboloid z = 25-x² + xy - y². e the volume by dividing R into 9 equal squares and choosing the sample points to lie in the midpoints of each square.

Q: Find the volume of the indicated región. The region bounded by the Paraboloid z=1- y? 9 and the 16…

A: The region is bounded by the paraboloid and the xy-plane, so here z = 0 and z varies from 0 to 1 We…

Q: 2m -2 m X

A:

Q: Find the centroid of the region bounded by the given curves. 19) The region bounded by the parabola…

A: 19

Q: Estimate the volume of the solid that lies above the square R [0, 2] x [0, 2] and below the elliptic…

A: Drawing the region R in xy plane and figure the paraboloid.

Q: Determine the centroid of the area shown relative to the x-And y-axis.each small square is 2cm

A: Let divide the given figure into three parts.