Question

[G] Find the parametric equations for the curves described below. Then write the corresponding vector-valued function that represents the given curve. Be sure to include an appropriate interval for the parameter. *Make sure you give both the parametric equations and vector- valued function and don't forget the interval for the parameter either. (G.1) The line segment from (-3,4,7) to (6,4,0). (G.2) The segment of the curve with equation y = (x + 4 from (12,4) to (-3,1). (G.3) The lower half of the unit circle traced out once counterclockwise.

Answer 1

6) (-3,4,7) to (61410) rtla <-3,4177 + tcg, o, -77 nt)s <(-3+9+), 14+0), (7-7t)) rtla <E379t), 4, (7-7t)) ostal (1214) to 1-3,1) y = Jx+y let xzt, y= utt Hela St Jtty 7 Joosate t=12 to t= -3 rel= <caso, sm or T so sam OR nth tots nt) < cost, smt Tat cah