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 number -π/2 ≤ z ≤ π/2
level curves : circles with centers at (0,0)
b.) Domain : all points in the xy-plane statisfying x² + y² ≤ 1
Range : real number -π/2 ≤ z ≤ π/2
level curves : circles with centers at (0,0) and radii r,0 < r ≤ 1
c.) Domain : all points in the xy-plane statisfying x² + y² ≤ 1
Range : real number -π/2 ≤ z ≤ π/2
level curves : circles with centers at (0,0)
d.) Domain : all points in the xy-plane
Range : real number
level curves : circles with centers at (0,0)