1. D

    Value of a function on the border of a set with a specific known integral

    A is an open bounded set and its border is β. If a function f is known to have a constant unknown value k on this border β, what can we say about k if we know the value d of the following integral over the border β ? ∫((∂f)/(∂n))ds = d n being the exterior normal
  2. S

    Swimming Pool Border

    A pool in the shape of a circle measures 10 feet across. One cubic yard of concrete is to be used to create a circular border of uniform width around the pool. If the border is to have a depth of 4 inches, how WIDE will the border be? NOTE: 1 cubic yard = 27 cubic feet. I believe we use...