Using geometry, calculate the volume of the solid under z = root 4 - x2 - y2 and over the circular disk x2 + y2 4. Consider the solid that lies above the square (in the xy-plane) R = [0,2] times [0,2], and below the elliptic paraboloid z = 49 - x2 - 2y2. Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners. Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners.. What is the average of the two answers from (A) and (B)?
Show transcribed image textUsing geometry, calculate the volume of the solid under z = root 4 - x2 - y2 and over the circular disk x2 + y2 4. Consider the solid that lies above the square (in the xy-plane) R = [0,2] times [0,2], and below the elliptic paraboloid z = 49 - x2 - 2y2. Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners. Estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners.. What is the average of the two answers from (A) and (B)?