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Sol-162E1-S2009

# Sol-162E1-S2009 - MA 16200 Exam 1 Spring 2009 1 The...

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Unformatted text preview: MA 16200 Exam 1 Spring 2009 1. The equation m2 — 2:2: + 1/2 + 4y + 22 = 0 represents a sphere with A. center (—1, 2, O) and radius 5 center (1, —2, O) and radius \/5 C. center (1, —2,0) and radius 5 D. center («1,2, 0) and radius x/E E. This is not an equation of a sphere (x31 29>“ 1' ﬂat?” «Hi gait} 2}” ; 0 ﬂ +1, ‘amplﬁemesgsm » (ml Hg 99> +e~er: ; W i ( “—2‘ o) ‘ (raijm ‘~ ' [E 2. In the parallelogram below, AB — BD equals . A. C'B C , 7. t_ ,, A ., D .~ Rf) EUQUJ U 11> MA 16200 Exam 1 Spring 2009 , 3. Let 11’ be a unit vector, and let ﬁ- {1' = 5. If the angle between 11' and 5 is 7r/4, ﬁnd l5]. A. 351:5 a “is: Bilal=5N§ @3343 i ”Wit C-lé’l=ﬁ/5 (A D. 5=5¢§ F. 914— 1' H .L :1 in“ _5 2 E (1)05?!) "" I? :2: SE 4. Which of the following expressions are meaningful for vectors 5', 6, and E? (a) 5' (b X a) A. (a), (c), and (e) only (b) 5X (36)" “0+, mmw‘ﬁvﬁé 5 B. (b) and (c) only (0) 5X (13 X 5) ~ . @(a) (c) and (f) only (d) (3-5) x6 ———' MIL Wmmﬁﬁ—Q D. (c) and (f) only (e) (5-6) x (6-3) ”Mr WWW B. an ofthem mam-(ma) ‘ 09) ﬁvdzcw “9+ MW‘Nj’ﬂl \$th 4 VWCa/ylfl be 7 CWSWA W'llo A ﬂow“ W " 1‘ . (a) mi” WWW Emanuel Z meew emit lee wafeol, MA 16200 Exam 1 Spring 2009 5. Find i’x (3x if). a: e k B.—j“ J?“ , " 0.6 2? A? a @ D-Ed ix,p\:~(ixk) E.—k «>9 . ;’(”j) _, ““‘f’ 6. Find the area of the region enclosed by the curves :1: = y2 and g: + y = 6. A. 20 MA 16200 Exam 1 Spring 2009 7. If the region bounded by the curve y = 1 —— :32 and the :c—axis is rotated about the line a: = —1, then the solid generated Will have volume §W3 1 1 B. / 27r(1—:c2)2dx ——1 C. /117r( (cc+1)(1——w2)dcc ./: 2m; + 1)( (1 — m2)d\$ 13/017T 7T(1 — y)dy :er(2—%) 3% 217(3? = ,2? (our! .1: 31%: Carded 414133 I) 8. If the region in the ﬁrst quadrant bounded by y = 51:2 ,y = 2 and a: = O is rotated about the m—axis, then the resulting solid Will have volume a/Oﬂﬂ (4~m4)d93 BI/o? 7r(4—a:4)d\$ C Aﬁﬁ (2—932)2dq; QJTSW mmfr‘i: z 27,) Cl D_/O7r(2_m2)2dw mm L (M2, ix) x E. /02 27rcc(2—~ \$2)d:1:’ . :' S? W( Li“ XLf) CDC MA 16200 Exam 1 Spring 2009 , 9. A cyclindrical tank, 2 ft. in diameter and 4 ft. tall, is full of water. How much work is done in pumping the water to the top of the tank? (Assume the water weighs 62.5 lb/fts.) (l. A. 2007r ft—lb B 3007r ft— lb C. 40071' ft— lb B. 10007r ft lb : (algq/(qté’mégbl) )\: : b2\gﬁ’(téwg): 5:507?! 10. Find the average value of the function f (at) — x5 on the interval [0, 2]. 26 * A' 7 k L 6 26 @“m‘ﬁ‘z W 3.; ’— g X ix B. 3 2"“0 0 6 C ~2— 6 L 4 :: i X D Z 2, .m; [D ' 6 26 _. Q) E E“ “2...... 1'2. MA 16200 Exam 1 Spring 2009 11/2wexdas— L.I~A-T\€‘ 34 . 0 — W {A}: X ) AV: @ AX A.262-— 4 3.8541) “WWW-14:, We?“ . e2— .:2+11 S: “fix 3 031:6 “ix E. 262+1 :(::X’szy€v\)(b ’ (2&15340 ‘ i) _—. 5» «a. 7r/4 “u” . 12. sec 1: 133,113 mda: = g0 9} W1x( 90; 5Q ”EWYKQB AK 1 , A.— Tl? 4 ‘l l . , 2 (12%-; M (A; Sax / WA 41,1399me til/K (1(0):: Sago 2! MFZ.) 29321;: [Z ...
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