The Easter Bunny is playing hide and seek with the other bunnies. He walks 4.5 km to the East, then walks in a direction of 12° South of East for 8.0 km, and finally
12.0 km North. Determine what his displacement is from the origin?

Use the profile illustrated for problem (1). assume that the layer of silty sand fill (sm) is placed over the entire site. estimate the thickness of the fill (h - in feet) that will cause the effective vertical stress at the center of the clay layer to increase by 517.5 pounds per square foot.

Suppose that f : rn → rm and that a ∈ k, where k is a connected subset of rn . suppose further that for each x ∈ k there exists a δx > 0 such that f(x) = f(y) for all y ∈ bδx (x). prove that f is constant on k; that is, f(x) = f(a) for all x ∈ k

Which of the following is not an appropriate unit for acceleration? (kg/12 mihr? m/min/sec cm/30c?