Find the riemann sum, Values of f(x,y) are in the table

Find the riemann sum

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Reference no: EM131015714

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	5	4

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?

Reference no: EM131015714

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Find the riemann sum : 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.

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