Hello, I need help with the following two homework question for my class. Can you please help? Also, please place details on how to solve it. I need them for my notes.

1.

The population density of a circular city of diameter 10 miles varies linearly from 100 people per square mile at the center of the city to 0 people per square mile on the outer boundary. Set up an integral that represents the total population of the city. Evaluate the integral. Make a sketch of the integration region and switch the limits of integration for the following double 1 1 integral. Then evaluate the integral: ffx + m3dxdy 0 a