Question

find the parameterization of the semi-circle given by x^2+y^2=255, y<=0 in the xy-plane starting at the point (-15, 0) and ending at (15, 0)

Answer 1

You mean writing it down as a parametric equation?

Answer 2

yes

Answer 3

parametric equation of circle having the origin as centre is usually in the form x = a cos t, y = a sin t, where a is the radius of the circle.

Answer 4

\[(15 \cos t, 15 \sin t) \qquad0\le t \le \pi\]

Answer 5

to be honest, i dont even think this was covered in class but it's in HW, not sure if the professor made a mistake, and i dont even know how the answer should look like, btw this is vector cal, so everything should be in 3d

Answer 6

Yeah, that's right xactxx