Consider the solid that lies above the square (in the xyxy-plane) R=[0,1]×[0,1],
ID: 2882676 • Letter: C
Question
Consider the solid that lies above the square (in the xyxy-plane) R=[0,1]×[0,1], and below the elliptic paraboloidz=64x2+4xy3y2 Estimate the volume by dividing R into 9 equal squares and choosing the sample points to lie in the midpoints of each square.
**not 5209/81
(1 point) Consider the solid that lies above the square (in the ary-plane) R 10, 11 x 0, 11, and below the elliptic paraboloid 64 4ry 3yi Estimate the volume by dividing R into 9 equal squares and choosing the sample points to lie in the midpoints of each square. 573 Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 3 times. You received a score of 0% for this attempt. Your overall recorded score is 0%.Explanation / Answer
In the give Table, the X and Y represent the centre of the 9 squares. Value of Z is estimated at each centre. Then it is multiplied with the base area of each square to find the repective volume. All the volumes are finally summed.
X Y Z A V 0.166666667 0.166666667 64 0.111111111 7.111111111 0.5 0.166666667 64 0.111111111 7.111111111 0.833333333 0.166666667 63.77777778 0.111111111 7.086419753 0.166666667 0.5 63.55555556 0.111111111 7.061728395 0.5 0.5 64 0.111111111 7.111111111 0.833333333 0.5 64.22222222 0.111111111 7.135802469 0.166666667 0.833333333 62.44444444 0.111111111 6.938271605 0.5 0.833333333 63.33333333 0.111111111 7.037037037 0.833333333 0.833333333 64 0.111111111 7.111111111 Total Volume 63.7037037