Give the center and radius of the circle described by the equation and graph the equation.x2 + y2 = 36

A. center (1, 1), r =

B. center (0, 0), r =

C. center (0, 0), r = 6

D. center (1, 1), r = 6

Answer: C

Mathematics

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

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