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Unformatted text preview: MTH 140 Fall 2010  Mock Test 2 LAST NAME: FIRST NAME:
(Please print) (Please print) Date: November 1, 2010 Duration: 60 minutes Mock Test 2 is created by the Math Assistance Centre to help you
learn and has no ofﬁcial standing in the course. PLEASE DO NOT
ASSUME THAT YOUR TEST 2 WILL BE (or will look) LIKE
MOCK TEST 2. It can be completely different. INSTRUCTIONS:
0 Verify that your mock test has 5 the end of each question carefully. There are no
pages including this page. part marks in the inultiplechoice section and
only the answer in the box will be marked. The
a The use of notes, formula sheets, books or cal correct response gets full marks? an incorrect
CulatOrS is “Qt allowed response or no response gets no marks. a For full—answer questions: ‘ . . a u , '
Give full JUStIﬁC‘dthIl for your answers; correct For markers use only' answers alone may be worth nothing. Cross out or erase all rough work not relevant to your so— Page Value Mark
lution. Write your solutions in the space pro— 2 ‘ Vided. If you need more space, use the back of _ t the page. Indicate this fact on the original page, 3 making sure that your solution cannot be con
fused with any rough work which may be there. 4 10
5 15 Make sure to write your answers in the box at TOtELl o For multiple choice questions: MTH 140 1. pts.) If 1 + +$2[f(3:)]3 : 11 and f(1) : ‘2, then f’(1) equals Select the correct answer. A) W'rite the capital) letter of the answer in this box 2. (10 pts.) 49 E) None of these B) —1 C) 0 D) ‘13 Find the derivative of the following function: f(."L‘) : arctan i 1 i l
I ~—— J” _~ (u—ﬁa
¥’(3c) =: . ( “‘62 )1: [ 2&6” x") 2a ) l +(V‘Q )2 (“H/i n+2¢i+x+l~2faﬁ+x (,fﬁ)2
“‘65 (Hal)?
7. mi
__ 31:55) 2a<‘+ﬂ+‘~ﬁ4 l (ﬂ, ) :
2L1+x) U+ 2 ‘2(1+x) V36— 2/350‘1'1) SotoHON ﬁx 1’ U543 ‘mﬂicit‘ diffemnlo'aﬁonomch‘s «you I? 2x C£<x)]7°+ 992.3[43uﬂz151Cx) : O and. Mace
F ’06.) [ H 3x2[¥rx)]z] = a2xC1Clxﬂz which Implics ‘FICxQ : —. M .Thus ~fI(1)=—2'2?’ ~_..’.§.
1+ leﬁ‘Lxﬂz ’ HaZZ ‘ t2) MTH 140 3. (10 pts.) A conical cup 8 inches across the top and 6 inches deep is full of water. The cup
springs a leak at the bottom and loses water at the rate of 2 cubic inches per minute. How fast is the water level dropping at the instant when the water is exactly 3 inches deep? (Hint: The volume of a cone is V : éwrzh, where 7‘ is the radius of the base and h is the height.) MTH 140 4. (10 pts.) Find the equations of the tangent lines to the curve 2mg — y2 z 7 that are perpendicular
to the line 3,: : ﬁiﬂi + 5 Q ’1. 17. ._.. A
Do 5 ‘7 —> QX~25£=O =>2m~b§gc==o .1; CH 935 $
3;" r3 slat” 03C fMchugent/sz. Ou)‘ Pom“) A th‘é) ﬁ=aﬁx+5 [4010 KaLop—e 5..2‘; So It”, Wad: Went Liz/us MiH'x 3W 4 ﬁg. 2
lat. ﬁztxt 21> x=25 Co‘r (gsEx) SD, W m A1(2)1) ) A (“2)‘1) Equahovxs 07C ﬂu, imagch ﬁrm/J W
“I!” “4&4” and y+4 =4 (2+2) MT H 140 5 a) (7 pts.) Set up the Reimann sum Rn for the integrai [010:2  1:)d3: by using the right end points as the sample points. Luwa n Sublh+ewal$ we have AI: Lag(2:1. ) act—=0, x”:
h L
L Fi
S t
mce pug cm: umng MHSM w pm'cd‘sJ p013" ow €CK)=I.2*DC r2 91cc. L "fur
n x1)Ax.n%(~ﬁ)ugl Zn ‘ n(n+1} 212+1 ) 1:11: 6 I 1‘
’ 2. \
/L1"x )dx—{Iw R tr‘l J. I; «L
0 ’14“ n h?“ n ‘28; B a
‘2 [IM l a ‘1 ‘ 4‘ ‘
have” nz‘z‘t“ag—:‘]=
= :‘I
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x: (1m 1. “.3. 1 l l
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