As a warm-up, first consider the case of a landscape with a single safe location. A bird's migratory path follows the north-south (vertical) axis going in the southward direction. There is a single tree located at the point (3,0) meaning three kilometers to the east of the bird's path. (a) Suppose a predatory bird appears when the migrating bird is at position (0, p). Write down a function, d(p), that gives the distance between the migrating bird and the tree. (b) What function does d(p) look like near p = 0? Give your rationale in a sentence. In a few weeks, we will discuss linear approximation of functions and Taylor polynomials and you will be able to find a better approximation but for now use asymptotics to get a simple approximation. (c) What function does d(p) look like at large positive values of p? Give your rationale in a sentence. And large negative values of p? (d) Sketch the graph of the function d(p).