Partial preview of the text
Download 2143 mathmatics quiz 1 and more Quizzes Mathematics in PDF only on Docsity!
Math 2153 — February 4, 2016 Full Name: Quiz 2 1. (1 point) Give a concrete example of a vector-valued function r(t) = (a(t), y(t)) for which r(¢) is defined but not continuous for some value of t. You do NOT need to justify your answer. Caner example > padilin pondim wilh zeim Tout vale, — t#o Lyjar ow G20 buh Suny b=4. wot [runs ttre. 2. (2 points) Consider the lines r(t) = (2+4,3 — 4t, —2) and q(s) = (7 + 28,1 — 28,1 + s) (a) Show that the point P = (1,7,—2) belongs to both lines. = _ = = _ 24 24 a-ak 2? Be m2 =-2 C(_4\= &,= Wh) =S7,-2> = tone o (-1)* 85 BIS) GD 742851 1-25 27 R ltS=-2 : “ esa] 7” sear sz (b) Find the equation of the line that is perpendicular to both lines r(¢) and q(s) — ~2 contains the point P.) 34, | panier Haters Pa he, himdin RL any ~ wu Cy . — 3 X dina Tim 64) WaVxw = hy -y ol=t (-1) - j Tiy+k Cate) =S1,-Lo> 2-2 4 = <~4 ~~ “ly Ror lbs hy = S57 25 tt<95 =i Fi #822, 4> )= 6 > fo tia i 3. (2 »oints) “A Ball Tolls of the edge of a table 1 m nigh with the speed of 2m/s. Th distance d from the table to where the ball lands. a Bun = SO, -4 Q=7.8 . Teed undilins : Siey=Se > x OT Sige & wtp We) = 2<1,0>=30) t (0 _ wo) Viay = S <0, -2> ds 2 <0 -ab> tO & ane initial) inbut 0B Ku d ec 2 Tz4e> = ¥ (9) 2 v +e = e So Fu = aad <2, “ot> 7 Teta yott Voy) yt tH : a) : § a = <2t, -ator Ye Tey a ser = OF gu yk Cy) = <2t, a4 1S 2) Th ball Mit Hr sound $ Ta to saliapying - -3t> 44 = w tye Th diskoue a TS Hue A- caput 9 Tbe} w diz) mel 
