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/ LODITL CALCULUS
$2 QUIZ 30 — MAY 20, 2011 6” PERIOD /"i’ '0 :. culus learned this year. Each question is worth 3 points. Show all necessary work. You MUST show youx use and knowledge . 2 _
1. (From Lashe) Use the function y = w to answer the folﬁving: I
x+3«  n t n wenwxw at X1 '5 bemoanrite bib”)
a.Is it continuous? LK“§)_i_‘§ Q i j” t” A") r eff”. b. Why or why not? " 3; «,3 at H" <2)? r" 4;. '3; mosey be _>_Q_ it}? ((1. be]. 3,» . W};
c. If not, where is it discontinuous and can you ﬁx it? Ami mt“ 1"":ij (Nil4t"i Wad“ PX Kat . x”. 5 ____ ' ole) Find the volume of the ﬁgure formed by y = lixz & g(x) = x oVer the interval [0, 2] it is rotated about the “52. 2 m A _ a. M
xaxis. ¥2rfg§ D dx "2L, t'K A P “7 K”; bi” (r: X2. :_ h e  V
wﬂwter) An 8 foot long ladder is leaning against a wall. The top of the ladder is sliding down the wall at a rate of 2 ﬁ/sec.
How fast is the bottom of the ladder moving along the ground at the point in time when the bottom of the ladder is 4
feet ﬁ'om the wall? tr”
6. (FromRyan) Find 5—5)— if 3W~6y2+4x2y=16_g —BU _— SSXM _ _
dx i“ Mi “"2...” =,_,,,,,‘,,4M}$ .9 I
if i.tTL’i>(”' {ﬁt {I \l—ﬁ Jiﬂi—ITA—wFliw "‘ r A, v: A 7. (From Joey) Integrate I 8. (From; Kyle) Ms. Metzger’s students sit in a circle and as they fail thewe '
2
d a rate of 41"— and the stalting diameter is 5 feet, ﬁnd . 7T ,7 "i r
see a; 7 = ” A”; ’
'F k. i 3 _. _J 9. (From Kyle) Water leaks out of a cube at —5 l"— .. ge of the height to 4 the cube has a wid of 'lﬁﬁ‘what’is the rate‘ofchan
I _se r r ‘ A, . :dh) decuna] places? I " Q “0 LL (Lix1; CH 10. (From Lashe) Find the derivative of y = sin‘iT2i)"."""’"‘“‘"~~ ~ ..
. [i 1 Z an a new»... mir—t—IM ...
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 Spring '12
 Ristah
 Calculus

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