Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 4 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 (2, 1). 0 ≤ t ≤ 2π.

Step-by-step explanation:

Given that a particle  moves along the circle

This is a circle with centre at (0,1) and radius 2.

Hence parametric form would be

where

and starting point is point to right of origin on x axis i.e. (2,0)

part a: 1.08

part b: 27.59

sample answer: you can determine whether each element of the domain is paired with exactly one element of the range. for example, if given a graph, you could use the vertical line test; if a vertical line intersects the graph more than once, then the relation that the graph represents is not a function.