Approximate the volume of the solid in the first octant bounded by the sphere x² + y² + z² = 64, the planes x = 3, y = 3, and the three coordinate planes. To find an approximate value of the double integral, take a partition of the region in the way plane formed by the lines a = 1, x=2, y = 1, and y = 2, and take (Si, Yi) at the center of the ith region. O a. 58.6 cubic units O b. None of the choices. O C. 48.6 cubic units O d. 78.6 cubic units Oe. 68.6 cubic units
Approximate the volume of the solid in the first octant bounded by the sphere x² + y² + z² = 64, the planes x = 3, y = 3, and the three coordinate planes. To find an approximate value of the double integral, take a partition of the region in the way plane formed by the lines a = 1, x=2, y = 1, and y = 2, and take (Si, Yi) at the center of the ith region. O a. 58.6 cubic units O b. None of the choices. O C. 48.6 cubic units O d. 78.6 cubic units Oe. 68.6 cubic units
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Approximate the volume of the solid in the first octant bounded by the sphere x² + y² + z² = 64, the planes x = 3,
Y = 3, and the three coordinate planes. To find an approximate value of the double integral, take a partition of the region
in the xy plane formed by the lines x = 1, x = 2, y = 1, and y = 2, and take (Si, Yi) at the center of the ith region.
O a. 58.6 cubic units
O b. None of the choices.
O c. 48.6 cubic units
O d. 78.6 cubic units
O e. 68.6 cubic units
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