# Question: Let A C Rn be an open set and f

Let A C Rn be an open set and f : A→ Rn a continuously differentiable 1-1 function such that det f1 (x) ≠ 0 for all . Show that f (A) is an open set and f -1: f (A) →A is differentiable. Show also that f (b) is open for any open set B C A.

## Relevant Questions

Let A C Rn be an open set and f : A→ Rn a continuously differentiable 1-1 function such that det f1 (x) ≠ 0 for all . Show that f (A) is an open set and f -1: f (A) →A is differentiable. Show also that f ...Let f : R x R → R be differentiable. For each x € R defined gx: R → R By gx (y) = f(x,y). Suppose that for each x there is a unique y with gx1(y) =0; let c(x) be this y.What is Bauhaus? Explain- form follows function- in the architecture presented by Frank Lloyd Wright and Le Corbusier (figs. 32.22 & 32.23 & 32.25).Total War-Totalitarianism and the Arts. The twentieth century has been molded in the crucible of two world wars and numerous totalitarian dictatorships. Why are World War I and II "total wars"?Explain:"existence precedes essence" "existential anguish" and 'bad faith" in Sartre's writings.(pages 70-71). What does Sartre mean when he states "That man is condemned to be free"(pg.71 lines 14-15).Post your question