Undergraduate

1 . [ 6 points ] Find parametric equations for each object. ( a ) A circle on the plane y = 3 with radius

1.[6 points] Find parametric equations for each object.
(a) A circle on the plane y =3 with radius 2 and center (4,3,1)
(b) A line which passes through P =(2,0,3) at t =1 and Q =(5,6,0) at t =4
2.[4 points] Find the distance traveled by a particle which moves along the curve r (t)=3 cos t,3 sin t,4t
for 0 t 3.

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