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.
