Calculus 3: 15.1Integrationinseveralvariables

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1.

\fEvaluate the double integral of the function over the rectangle : y _ fLHldA, R[0,6]x[0,8] Answer : \fEvaluate the integral. R = [9, 5] x [1, 7] (Use symbolic notation and fractions where needed.) gem = Calculate a Riemann sum $3.3 on the square R = [0, 3] x [0, 3] for the function g(x, y) = f(x, y) - 3. The contour plot of f(x, y) is shown in Figure 4. Choose sample points and use the plot to find the values of f (@, y) at these points. Use the values of f(x, y) to evaluate g(@, y) accordingly. 13 2 32 P12 1 P Pal X 0 FIGURE 4 Contour plot of f(I, y). S3. 3 =