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30,000 ey If f(x, y) = - represents the "population density" of a certain bacterium on the 1+ X 3 xy-plane, where x and y are measured in centimeters, find the total population of bacteria within the rectangle -5%x:5 and - 1sys0. Express the total population of bacteria as an iterated integral. dy dx\fApproximate the answer in the previous step and choose the correct units. The total population is approximately (Round to the nearest integer as needed.)1+ bacteria 3 Evaluate the integral in the previous step. bacteria 2 cm The exact value of the integral is 60,000 bacteria cm Approximate the answer in the previous s orrect units. The total population is approximately "Round to the nearest integer as needed.)F dy X dy Assuming 8x"- 3y - 5xy =0 defines y as a differentiable function of x, use the theorem to find at the dx F dx point (1,1). dy = dx ((1,1) (Type an integer or a simplified fraction.)