Question: Use the approximation in (12) to estimate the double integral. The domain D between the circles of radii 5 and 5.2 in the first quadrant

Use the approximation in (12) to estimate the double integral.

The domain D between the circles of radii 5 and 5.2 in the first quadrant in Figure 34 is divided into six subdomains of angular width Δθ = π 1/2 , and the values of a function ƒ (x, y) at sample points are given.

Compute the area of the subdomains and estimate SS f(x,y) dA.

V 1.5 1.7 = 12 2 2.2 2.4 - 2.5 5 5.2

SS f (x,y) dA.

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