Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of t.) (a) Once around clockwise, starting at (4, 1). 0 ≤ t ≤ 2π. (b) Two times around counterclockwise, starting at (4, 1). 0 ≤ t ≤ 4π. (c) Halfway around counterclockwise, starting at (0, 5). 0 ≤ t ≤ π.

Aresearcher believes increased perceived control influence the well-being of residents at a nursing home. to test this , she allowed one group of residents to have control over their daily lies, (where to eat etc) . the other group of 5 residents had these deceisions made by staff. the resident's feelings of well-being were measured on a 10 point scale at the end of a one month trial period. is there a difference on well-being?