Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = sin-1(x2 + y2)

Question

A. Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at (0, 0)
B. Domain: all points in the xy-plane satisfying x² + y² ? 1; range: real numbers -  ? z ? ; level curves: circles with centers at (0, 0)
C. Domain: all points in the xy-plane; range: real numbers -  ? z ? ; level curves: circles with centers at (0, 0)
D. Domain: all points in the xy-plane satisfying x² + y² ? 1; range: real numbers -  ? z ? ; level curves: circles with centers at (0,0) and radii r, 0 < r ? 1

Answer 1

Answer: D