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# QUIZ 02 - 12.1 Quiz 2 Sections 12.5—12.6(15 points Math...

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Unformatted text preview: 12.1, Quiz # 2 Sections 12.5—12.6 (15 points) Math 200 Name:__K£)_—_ 01,693,310 Show all necessary work for credit. Group: 7 2 pts. 1. Find an equation of the line through (2,—2,4) and perpendicular to the plane —x+ 2 y + 52 =12. 'ﬁ 3(4):)5) 1-: : (2)454”. 3m :- 32; +t'a‘ 2 (tn-2,» + t (~11 2,5) =- (M 3‘7”“; +350 °' Pammtﬂ‘c ezvd"°ns: x = 2-“: , 72-11-21: , a: ‘++St m2. Find a vector equation and parametric equations for the line segment from (—2,l,1) to (2,3,5). Use 736‘) 2(1-t)?:+t?|‘ ) Giff] More ﬁzz-2,1,1) )ﬁ'zﬂﬁjs) Vector-950d?“ ‘. 376-) = (l~t)<—2,1,I> +t<zlajs> = (Ag/0+1: 053,?) PQmmEl-mc. Qﬁvm‘l\‘°n5: X : «fl-“H; ’ 7 211.31: 2 2 5‘17““: 05:th ) 3m 3. Find an equation of the plane through the points (0, 3,3) , (3,0,3) and (3,3,0). “ Flop,” , 013,153) ) Maﬁa) {’9 : (32-3/o'>>¢: ‘5; : {B/OJ-‘i? an a: 132.521. um 3° 13 + 1 3-317»: ”Mm o~3 3—3 3 0-3 we a = «1,333 m pan—(3,3,o) a; ‘1(X~3)+Q(,_¢3‘)+9Cg~o):o =9 ‘lx +3, Mt} ~5‘t30 2_P_t_S;4. Identigy and sketch the graph of the surface y==zz. or X +)' + 2 ._..__ é 1" a ) 7:2 re’l’ﬁ'md" QJMKLOII‘E cylinder Inf-Hi Punt-«3.5 Parallel +15 e x~4¥is_ 3 pts. 5. Find and describe the traces of the surface x2 — y2 + z2 :1 in the planes x = k, y = ,z = k. - . 5- '1 *1 . . horiaon'iﬂl 'l’mces 2 =29, ) I ~) = Pg: ’ SMI‘] a“: hgﬁrkblu ‘Fur Rio] in . .2 “L 1. ‘l‘wb I‘nhl‘sed‘aha hﬁe: 4:9,. @131 gvh‘l'wal «trues Xz'Xf,’ 2") : l-xo , tam) a; Lyeerkgllqj ~9u~ 1X91?! 2 1 I. "has Cntﬁﬁs-hda 1'59} gr “9 3i (in 73%, 3 24+; =1+yw Jim-J) oli- circle; .Forybeﬂ 2 pts. 6. Find the equation of the surface created by rotating the ellipse 4x2 + y2 =1 about the x-axis. a. 3-. Y '1. 7. Lila-Ivy “r X. 1-.;_. 9 21:: l :2) Ll-xm-g-ya‘lt‘zl: I .L + )3“; X-r 1" I ‘4 ' mutt“ .9145 cm ...
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