Mathematics, 23.06.2019 21:40 agray339
A) estimate the volume of the solid that lies below the surface z = 7x + 5y2 and above the rectangle r = [0, 2]⨯[0, 4]. use a riemann sum with m = n = 2 and choose the sample points to be lower right corners.
Answers: 3
direction we consider the 
subintervals [0, 1] and [1, 2] (each with length 1), while in the 
direction we consider the 
subintervals [0, 2] and [2, 4] (with length 2). Then the lower right corners of the cells in the partition of 
are (1, 0), (2, 0), (1, 2), (2, 2).
. The volume of the solid is approximately
and 
subintervals would be
and 
leaves us with an exact volume of 
.
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