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Find the volume of the solid bounded by the surface z =5 +(x-4) ^2+2y and the...

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Advance Math

Find the volume of the solid bounded by the surface z =5 +(x-4)^2+2y and the planes x = 3, y = 3 and coordinate planes.

a. First find the volume by actual calculation.

b. Estimate the volume by dividing the region into nine equalsquares and evaluating the functional value at the mid-point of therespective squares and multiplying with the area and summing it.Find the error from step a.

c. Then estimate the volume by dividing each sub-square aboveinto 4 sub-squares and follow the process/steps in (b) above. Findthe error from step a.

d. Keep repeating step b to a reasonable number to minimize theerrors from step a.

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