(Solved): HELP!!! Geographers measure the geographical center of a country (which is the centroid) and the pop ...

Geographers measure the geographical center of a country (which is the centroid) and the population center of the country (which is th center of mass compuled with the poputation densify). A hypothetical country is shown in the figure to the right wath the locetion and population of five towns. Assuming no one lives outside the towns, find the geographical center of the country and the population conte of the country For the peograptical center, cetermine the double integrals to be used to most efficienfy find My. the region's frist moment about the y'axes. For the googrophical center calculations, assume a density of 1. Use increasing linsts of integration. Divide the region into three sections, gong from lent to right. \( M_{y}=\int_{\square} d y d x+\int_{\square} \int y d x+\iint_{0} d y d x \) (Type exact answers.)