# Question: a Let f R R be defined by F x x 2 sin 1 x x

a. Let f : R → R be defined by

F (x) = {x 2 sin 1/x) x ≠ 0,

0 x = 0.

F (x) = {x 2 sin 1/x) x ≠ 0,

0 x = 0.

## Answer to relevant Questions

A function f: Rn → R is is homogeneous of degree m if f (tx) = tmf(x) for all x and t. If f is also differentiable, show thata. If f : R → R satisfies f1 (a) ≠ 0 for all a €R, show that f is 1-1 on all of R.Make It New--Explain the idea and the movement of Futurism in Umberto Boccioni's Unigue Forms of Continuity in Space and Marcel Duchamp's Nude Descending a Staircase (fig. 32.9 and 32.11).Explain "less is more", a credo of Ludwig Mies van du Rohe and "form follows function" followed by Sullivan and Wright. Give examplesListen to Copeland's Appalachian Spring #9 CD#2. Why would his music written during WWII have such great appeal? How did it compare to European music at the same time?Post your question