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Mathematics Clinic => Calculus => Topic started by: clmills979 on Jun 16, 2021

Title: Write a "volume" word problem for which finding the solution would involve evaluating the double integral
Post by: clmills979 on Jun 16, 2021

Question 1

The population density of ants in a field is given by

where

and

x and y are in feet, and p is the number of ants per square foot. Determine the total population of ants in the field.
◦ 682,667 ants
◦ 341,333 ants
◦ 85,333 ants
◦ 1,024,000 ants

Question 2

Write a "volume" word problem for which finding the solution would involve evaluating the double integral

Title: Write a "volume" word problem for which finding the solution would involve evaluating the double integral
Post by: akemokai on Jun 16, 2021

Answer 1

341,333 ants

Answer 2

Find the volume bounded above by f(x,y) = y + x which lies over the region for which

and