This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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
Clé’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) (35) x6 ———' MIL Wmmﬁﬁ—Q D. (c) and (f) only
(e) (56) x (63) ”Mr WWW B. an ofthem
mam(ma) ‘ 09) ﬁvdzcw “9+ MW‘Nj’ﬂl $th 4 VWCa/ylfl be
7 CWSWA W'llo A ﬂow“ W " 1‘ . (a) mi” WWW Emanuel Z meew emit lee wafeol, MA 16200 Exam 1 Spring 2009 5. Find i’x (3x if). a: e k
B.—j“ J?“ , " 0.6 2? A? a @
DEd ix,p\:~(ixk)
E.—k «>9
. ;’(”j)
_, ““‘f’ 6. Find the area of the region enclosed by the curves :1: = y2 and g: + y = 6. A. 20 MA 16200 Exam 1 Spring 2009 7. If the region bounded by the curve y = 1 —— :32 and the :c—axis is rotated about the
line a: = —1, then the solid generated Will have volume §W3 1 1
B. / 27r(1—:c2)2dx ——1 C. /117r( (cc+1)(1——w2)dcc ./: 2m; + 1)( (1 — m2)d$ 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~AT\€‘ 34
. 0 — W {A}: X ) AV: @ AX
A.262— 4
3.8541) “WWW14:, 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 ...
View
Full Document
 Spring '08
 LEMBERT

Click to edit the document details