00:01
For this problem, we are asked to find parametric equations for the circle centered at 2 -0 with radius 3, generated clockwise, and to give an interval for the parameter values.
00:12
We're then asked to graph the circle and find a description in terms of x and y.
00:16
So to begin, from the fact that we have our circle is centered at the point 2 -0, we can begin by writing that x -t will be equal to 2 -plus or minus, in this case, something, and y of t would just be equal to 0.
00:30
Plus or minus something.
00:32
Now from the fact that we have radius, or actually i'll start with, the fact that we are generating clockwise, if that's the case, then we are actually going to want to have a negative sign on our cos.
00:47
So we would have to have two minus something, cose of t.
00:51
Since we want radius three, we'd write x of t equals two minus three cos of t.
00:56
And, well, generated clockwise, we would be starting at a point negative one...