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2008_06_03_11_51_52

# 2008_06_03_11_51_52 - Name I‘ Discussion beetlou — no...

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Unformatted text preview: Name: I‘ Discussion beetlou — no: UL‘D 'l‘ime: LJ,"5 TA’S name: QOSG V1 1M Midterm 1, Math 200 - Lecture D (Fall 2007) Duration: 50 minutes Please close your books, tum you?" calculators oﬂ and put them away. You can use one page of handwritten notes. To get full credit you should explain your answers. 1. Consider the following two lines L1 T—4=y—+1=Z—2 “til-harl)’ 4 3 l P": {Ll'rﬂlrl'7 and L21\$+2=y+222hﬂ7 h: (gill—'24» 5 2 —2 PG “- <_3f—)__! '1‘} a.(3 130.9555) Find the COordinates of the intersection point of the lines L1 and L2. 3:1.}.:.{.‘:_r__ Li X: 14+th 'l 2) "d." __ ,1_+3.t é Liv} If \ l, , +~t _. J . ,.-(.1_,2’)/~. 5F 1 Vt, " <{h-2' J" . j Z" (0 l " L2 X “— *‘24S-L . ‘f‘ ”ll-Qt 4—2.£2;7> “serum . be! 'r.‘ ’- " —- 7,. C. I ,_ L Jr 5, b.(2 points) Find an equation of the plane which contains the lines L1 and L2. .\ . a (x40) 4- b (\r-Yol +£(3'5Jeo Po; 4 (#2er (2‘2“?) (7’3)? .\ . : (“r—(O: H‘rll5> 2. Let f(:1:,1)= — 4— (:1:+3)2— (y-2)2. a. (3 points) Sketch a contour map of the function showing three level Curves. (3.? ~ WIN?“ 4'0— 9)“ ‘Vﬂ/H’rq :- MW: m 3.a.(3 points) Find the velocity, acceleration, and speed of a particle with position function r(t) = (3 sin t, 300533, 51) (ch— r (4:) (55034; ‘33m—t, s23 Vaioo-ii'g, 0053‘ VY‘QK: ~381ht, 9; 09 4; . *0 >:' JMLIEACHWM Iva/W mm 5" “PF 3ccg‘-£ 4- Eqé‘ﬁﬁ‘t 435 ~_- 34’(c.os?t- 4 94434)) 4 2‘5 ...—--—-#—'_T_-_'"' ‘J— _. 9 (‘PP cl ' l5 :- J _ 4“. + Dad. _-/8 j .- p ~X V 15% J ED< WWW? b.(2 points) Find the limit, if it exists, or show that the" limit, does not exist I my cos x .. . . lim 2 {1 iii-'(U 0} 33 + 9'2 - X=o {9.3%} = Q; = 0 074212 3 4. Consider the following two planes Piz2ac+y—32=2 H?- < 21‘1"?) and P2: 235—y—z=6 —‘7 <9 ”I ul> a. (2 points) Determine a parametric eguation of the intersection line L of the planes P1 and P2. -———-—--——"- P0 : ((2:2),(4—1) (#lLt3)> ‘:< 01 2? n < 4.’qnu> (SP? Fax/+197) X: A“ Sag—it a: “2+(‘LDJt \ti gig: if 5.: 2 Hwy; 1:] +1 b.(3 points) Find the point on the intersection line L which is the closest to the point (2,1,0). ...
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2008_06_03_11_51_52 - Name I‘ Discussion beetlou — no...

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