Suppose f(x,y) gives the population density of a region R measured in people per
ID: 2859968 • Letter: S
Question
Suppose f(x,y) gives the population density of a region R measured in people per square mile. Choose the best interpretation of intR f(x,y)dA
A. The result of the integral will give you the total number of people living in the region R.
B. The result of the integral will give you the total volume of people living in the region R measured in people per cubic mile.
C. The result of the integral will give you the total mass of the people living in the region R, measured in kg.
D. The result of the integral will give you the total density of people living in the region R measured in people per square mile.
Explanation / Answer
here f(x,y) is population density and we are integrating density*Area
i.e. The result of the integral will give the total density of people living in the region R measured in people per square mile.
Becuase Mass= density*volume