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a. Values of f(x,y) are in the table below. Let R be the rectangle 1 ≤ x ≤ 1.2, 2 ≤ y ≤ 2.4. Find the Riemann sum which is a reasonable over estimate for ∫Rf(x,y) dA with Δx=0.1 and Δy=0.2. Show what you calculate.
x
1.0
1.1
1.2
y
2.0
5
7
10
2.2
4
6
8
2.4
3
b. Referring to the problem above, if R is a rectangular plate, x and y are distances measured in millimeters and f(x,y) is the density of bacteria per square millimeter what would the integral represent?
marta went to the local discount store to stock up on school supplies. she bought four spiral notebooks at 1.50 each a
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