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**Unformatted text preview: **Math 142 Exam 2_ . @ Name ;/ ._
1 7pts Flnd J-ZOSzdm
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K ‘ 8 e, ”L (3X QSK h 2350
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2. 7 pts Determine gilogsmz‘r’). Bhﬂt’lﬁ)
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(DVL M XML? 3 3. 7 pts Determine ﬁll—(32:)? 34 VA 2%): Chm (a XXL) M W M
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‘ ‘ »I 7. _ I 6 M 191/ 1/5 4. 12 pts Calculate the 1 ﬁngth of the curve d ned by the equation y=1n[cos(x)], g5 mg 3. L 3%“ k 08 \_ L ‘ "J — “-7“; W .51 .w’ “ (1:) all”
\m/ W
1‘8 "WC-wait. \w LDCX (LN 6. 13 pts Determine the critial points of the function (-3) -— 63:— cosh( 82:). ft bx :(Q 383% «AME: <10 / \\ CL‘\¥\(E’\: 3 LLﬁgWCL . m... ,... .
,m g M M X "‘ 32%; \ "r‘x...k,:\ .gcmmk W W dxx :3g_,,ti;‘~;~;_., pkg LL. . MW
. (21%;qu A‘L“ " J / f! - f 5 ‘~ : :5 X \ h B 1 it
. . 7 31: ‘4 _ ‘ J“: n L X i a a J
8. 10 pts Determine 11m [1 — E] . 3 mm L .
3-» m X :5; 0L: L
D ‘ i r/ 3;" \
; l—d‘ 1 1 i 1:1.” W 32,.wa ‘ ( l k , - is i
(has '5': t t ‘5‘ A J , l _\_ 1 . ' _ E 3,.—
_ g " ”’ r E ‘ 3x € “WT;
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’_ J . “m . K f‘x { f V ‘-.- ‘4 a“; ‘ ... ’W' :1
-7 Q at -- m a “X J A” “be“ - C; F- is '1, 9. 18 pts A tank contains 38 gallons of brine in which 50 pounds of salt are dissolved. A mixture
consisting of 1/2 pound of salt per gallon is ﬂowing into the tank at the rate of 3 gallons
per minute, and the mixture is continuously stirred. Meanwhile brine is allowed to empty
out of the tank at the same rate of 3 gallons per minute. Determine the amount of salt in the tank for any time t > 0. XCU a no; .7 «. gin-ht . , ._ i . I
r _____Mo__.i__m.n.. .1 5H )0‘ 1)”! u , g ‘I‘ ‘ _ _ ‘2 , 1 K \ U
E) g \‘L/ it“ I ll . 3+ 7
Fjb a it '33.: \ 5' ...... * MN.“ L 4 ‘ .t .r.’ f .i.‘ l M_ \__ ‘m-f' \ 'L 3‘ (w, y ‘2‘ l
0 V 7 a I
A a ”F ' r' ‘r L .m-w~~...-rrcl.,.t.l .ra H t x L‘ A mm 43-
3 3 1}:ng ...

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