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Unformatted text preview: [email protected]: Besure to bubbleithe answers to questions 1 through 20 on your soantron.
Part I: 2 points each In problems 1 through indicate Whether each of the following statements
is true or false.  ' 1. If ﬁns) 2562 and = :13, then the domain of g is all real numbers.
(a) True .  @False 2. A line perpendicular to the y—IaXis has Slope 0.  {W'MMS‘ﬁ} ’39} . Y _
“um‘mm—w ~— M" sic;an G
_ awe 2r
3. If y : 2gathen y varies directly with 2:. ‘
we I ' _ b. False
4. : W712: is an odd function.  a, True not}; ~ we r m (a 7x.) ~ ‘ffaﬁ b. False _ 5. The relation_{(1,2),(2,'1),(3,2)} is afunotion. " 6. If the function i is symmetriaah utthe y—aggis and the point (—3, 1)
is on its graph, then what is f(3)?_ ’7  ' f
f . L> Memox) 1;. 8,. “*1 n 's
a. 3} 17—. .53 ":1: j
b. 3 { '" 7m ) c.. —3 1 8. If ﬁgs) 23:2 —'1, then f($:— eqhals ‘  _ _
I 100w!)  {walw { . ‘1 a. f(x—1)=a:2~2 I
b. f(:c—1) :39 a a1 Max M w i
[email protected]($I—1)= 2—211: ’3 x1» 1.x 9. Which of the following graphs is'/ are the graph of a function? a. A and B only ‘ A only . A'and C only  (:1. none of these y 11. _Which of the following statements is / are true? 10. The domain of the function v4 —— :3 + ﬂ is
a. (—oo,4] ‘fxza ,_ x 3” 0 [0:4] 7 #xvxw’r 0. (4,00) ' A: «s 1f J
. [— I 01 4,0] Part II: 3 points each )1 = C3
vealx
has singed: A. The slope of the line with the equation yI—i— 251: = 0 is Zif’érim,
B. Iff is an even function, then f(wi) = We:
. v C. If f = a: and g is any function, then f + g has the same domain
' as g. I _ may . a. A and B only
I b. A, B and o
c. B only B and C only .
e. C only I 12. (What is true about the “circle gs? —l— y2 = 10 and the line y : 3m? ,
{51:3er 243" 53,539“ 35% 9x3“ lax?“ @NLe f =99 N we /_ an" M«frr/ ;
I aJThey intersect only in thetwo points (1, 3) and (1, m3). ,0, _ w}, r: 3.; b.  They intersect only in the two points (—1,3) and (W1, —3). 433;: s? ysifwr} g? a: .. They intersect only in the two points (1, 3) and (—1, *3).
Cl. They intersect only in the four points (1, 3), (1, —3), '(—.1,3)' and _
(~13—3). Gregg, Xrgfynz: i331: i+‘?céo y; .x=r,7¢_32 {'/}l¥{‘:3}2$/+9 l=/0 /
'3 $319!} “’1 e. They do not intersect at all. 13. What is the slope—intercept form of the equation of a line that is
parallel to the line 2y+x + 5 = 0 and goes through the point (2, 42)? a‘y:233'+1 "Slow 19/ ray{‘90} ‘5":(9 2y s—vxﬂg”?
.   : lo a, at ice 1, Mal # “:17
b.y:'—_2$+l [ 5F 7/5?ng _ ax a
_ ‘ ‘ i
C y = 233 "— 1 :93 Siffii—‘f: I I
y : _%m —1 fo‘kn'kﬂ : r 7— (—2.) = ——.2{('X ﬁg) 
e.y=%:c+1 ya»; x maﬁa?!
14. What .1s true about the follow 9; system 0? equatlons?
meg—123(1) inf 2x32; _ Italc. yakng
' a. The System is inconsistent. 65% Mfr; : ' I Hi, H 5 The system is consistent. ;; ,0   . has exact???» games sciafm .'
c. The equations are dependent. 7 (M) d. .The graphs of the equations are parallel lines. e. None of the aboVe.  15, F01" what Value of k is the line through, the points (1, 0) and (0,16) perpendicular to the line y : 223 +1? I
I . ‘ ﬂay.1: 97C tea v‘AroaLgA ((11, 0} , (at) ,r a. [9:2 35:2 "liftwt e”. k:12' Wésmaésmlm glam; g, ,, { “A; h“
. £0 [Q r 16. Varies‘directly with d AN D it varies inverSely With 742'. When d = 4
and 7" = 3 the value of W is 16. Then the formula relating W with d and'ris _ 0/ _ 
{41$ _.
r ’9
ﬁérﬁjlwafé /é:/<..§: ﬁgk
172' gééwagmgé;
55> U=36 a: Eéd I
(2.. I 17. Which of the graphs belongs to the function r 4534;343:530 if0<$£1
2 ifl<x§3. 18. ,Which of the following expresSion(s) define(s)l y as a function of 9:? 'A.y:a:3 '_B.a:2—l—y2=1 C.y=a¢2 Dygzx
' ﬂ a. A and C onl l! O y Y ﬂ fﬂwﬁ
b. B and D only ' ,
C. C only d. C and D only
e. B and C only we.) . y. ifx haéﬁ new?" aneéiafuefy firm“ 19; Peter has'left the water running. in the kitchen sink. The sink is 15
inches deep. At 10 a.n1. the water levelain thesink was at 2 inches
and 15 minutes later it was already at 3 inches. The relation between '
the time 75 (measured in hours after 10 am.) and the water level w ' (measured in inches) is linear; '
' What iS'the eql'iation relating w and t? _ _
I Raj +2: VLAF'EBEIﬁZ} a.’w_:2tl+l‘5' ,. ,. _\ K 1Q
_' '1 I 'erﬁéz.’ [C3, , _ if", 3;}  a; min :2; lowwfﬁt—l—2 f9 . W. I . 7 _ c.w=ﬁt+2' ‘ 9 éeéi; d.w=15t'+2 3/9995?» s 'M ,3 J; w if ' i . 2,3432 . vi:  @w:4_t+2 ' I ' . $5; W 33 + 20. (Bonus!) Which of the following functions have the interval [0, 00)
as their range? I _ A. 2:132 B. r: a: _ C. i m D. 2x3
y _ y l l y f Maw I a. only A and B ._
:i A, B and o _
U only A and C ‘
d. only A and D _ e. all of them _ Section number: MAC 1140, Test 3 B, Part II
Summer 2007 r _ _ Namez'
UF ID: 7 r >
SHOW ALL WORK TO RECEIVE FULLCREDITI _ Signature: 1. Solve the following system of eciuations. 15m—10y———_18 (I)
333 5y ———=2. '5‘ '
2 47 _ (“I”)
ﬂﬁigf éXf'S‘y'wg
“2.2" *{vﬁfﬂm «lax May maze
If'ﬂ 3.»; z I 6., 3.;
=2“? X'AM# #‘9 3”
“"f “for! W lg‘fftg'k'wlgwfé’éwié’w/oxg
.m E; W
“ﬂ 7 m in '” :6“
ICAeCé Arm?” 115' “IQ{*§)¢[O+g$/§ 2.. Solve the follmving system of equations. y:\/4x—8 (1) y = 6 — x. 2:“ a «w x m7
w {gtAxﬁ a WW3
3éwlzx+xa wa‘g f wags<3. g:
X”: yﬁéw/xr‘a“?
W ' barm‘xrk w"; has 'S‘G/LL7L}‘$Q “A .3: e «72?? W 3 The solution set is: . . ‘. . . .. . g .
I: @2243; Xian3 we? a. “7 #= 7 / do» I 3. 21) Find the standard form of the equation of the circle that is given
by \ A 2$2'+2y2 —'8$+12y—5—8:0_ I ).g
xz+ ﬁfe—“we; @44me leaf xlttmﬁ Earyaw); w? «.3? WWW _ I i  '2“ " a. 2...
Standard form: . 7‘“. (713%). . . .=.'—. . . ..
b) What is the midpoint and What'is the radiiis of this cifcle? Sketch
the circle. in the coordinate system! ' ' IIIIIIIIII ‘ _ _ Midpoint: . . .. Radius: . . . . . . .' . . . . . . . . . . 4. If f : 2:1:2 — 4:1: —l— 1 evaluate and simplify the following difference quotient: 1
f (3'3 + h) — f (36')
h ' . i
PL. 2 (x1+2xa....a:al),,, '7"??? “,u‘?‘°*’m+i_/..__f“* Zingfnfny’félf‘"! I MW. mFm. MN». WWWMW e 94% 'e«r~2~.x% an ex H 5. A motorboat starts at 10 am. to make a 10 miles trip down the river
I and it arrives at 10.30am. In the evening, due to'heavy rainfall, the speed of the current has
doubled. Then the boat, going at the same average rate relative to
the water as in the morning, needs 1 hour and 15 minutes "for the return trip._ What is the Speed :1: of the boat relative to the water and what was
the speed y of the current in the morning? ‘ Set up a system of two equations in two variables and Solve it! _ '
'   ,5: o
— upstream 3C3 MH“) '3 £7093
! A a; 5mm . SW _' W 7 g :22:
W ti” a <2
33153;: x+ )1 = 21.0 auxe «En/v awakens
E “if 3y '6 .52“
jg"; if
m E x 4* if a: git?)
' simmering
51149:;[3 :“ i(/éu{~$€>)r«fé’g©$!ﬂ ‘gl’rfbr'eiﬁ; {'gﬁlO.
_ gammaE;  Speed Of'the boat: Speed of the current. . .I . . . . . .. ...
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This note was uploaded on 06/09/2011 for the course MAC 1140 taught by Professor Williamson during the Summer '08 term at University of Florida.
 Summer '08
 WILLIAMSON
 Calculus, Algebra

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