Question: 1 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

 1 30,000 ey If f(x, y) = - represents the "populationdensity" of a certain bacterium on the 1+ X 3 xy-plane, wherex and y are measured in centimeters, find the total population ofbacteria within the rectangle -5%x:5 and - 1sys0. Express the total populationof bacteria as an iterated integral. dy dx\fApproximate the answer in theprevious step and choose the correct units. The total population is approximately

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(Round to the nearest integer as needed.)1+ bacteria 3 Evaluate the integralin the previous step. bacteria 2 cm The exact value of theintegral is 60,000 bacteria cm Approximate the answer in the previous sorrect units. The total population is approximately "Round to the nearest integeras needed.)F dy X dy Assuming 8x"- 3y - 5xy =0 definesy as a differentiable function of x, use the theorem to find

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.)

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