Determine if the equation specifies a function with independent variable x. If so, find the domain. If not, find a value of x to which there corresponds more than one value of y.xy + 3y = -4

A. A function with domain all real numbers except x = -3
B. Not a function; for example, when x = -4, y = ±3

Answer: A

Mathematics

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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 3 sin t, y = 5 cos t, 0 ? t ? 2?

A. +  = 1

Counterclockwise from (0, 3) to (0, 3), one rotation
B. +  = 1

Counterclockwise from (5, 0) to (5, 0), one rotation
C. +  = 1

Counterclockwise from (3, 0) to (3, 0), one rotation
D. +  = 1

Counterclockwise from (0, 5) to (0, 5), one rotation