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 DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: MATH1326THQ_6, 20160215 22:59 if”
€229 LUl’Z/éi/M g
XXXOOOO . 001 — 503
(Printed First Name) (Printed Last Name) < Net ID ) (First Letter of Last Name) < Section > Take Home Quiz 6 Penalty Instructions 1. Fill in the requested information on the line above. 2. This handout is due at the beginning of lecture on
Tuesday (03—01—2016). One point penalty per minute
late. Submit right away, don’t wait for the end of
class! THQ with missing name will receive 10 points
penalty. 3. This handout must be printed out and. You may print
it single sided or double sided. Failing to print costs
10 points. 4. This handout must be stapled. Failing to staple costs 10 points. Your work must be hand written on this handout. 6. You must show all work. You may receive zero or
reduced points for insufﬁcient work. 7. Your work must be neatly organized and written. You
may receive zero or reduced points for sloppy work. 8. Only a subset of these questions will be graded. You
will not be told which questions will be graded in ad—
vance. 9" Due Date: Tuesday, 03—012016 Page 2 of 8 MATH1326THQ_6, 20160215 22:59 ’roblem 1 Evaluate each of the following improper integrals. Ia)
0
/ 56—53”+2 dx
': O x [4'4 +1.,
tIWW & 5a .
a?» ~00 ii [1/74
0
. a 54+ 2.
a L) 8
5L v) 06 ’5’ ﬁx
/ «*5’107} 2. ~ch +2, \le ‘I I
:; hw .j. (b) ' a~ m“ /
°° ' ~——> \
—5x+2 32‘ ’
/0 56 d3: ’6, “XE” ( m
Kb “y+z
\ , q, "'5
5: \WV“ 5 6: \> a we a
r, war/‘9'? 2’ \> I 6 2
r ,5 ' C,"\3~2_ +
\3 A «74? " ’5 0‘ 6 r mew 6‘36
“’5 L) IL
(C) a?) 6
0° 30 d
/0 (2x+1)31 9”
l \> 20 NCWEM (A: >444
: \Wv M v “‘79 dd 6 2&4 ' ‘p
m ’r\ » ‘ ’ iCbVw
I. { 2 [17$an 0 ’ (/— ‘J M L Eu
\5 ‘9 00 “30 \ J, J"
t Ll} r“ ' “l P ' "20
333; ’meﬁ36 2 C ‘3 Page 3 of 8 MATH~1326—THQ.6, 20160215 22:59 ’roblem 2 Evaluate each of the following improper integrals. (a) 30 c
0 ‘ I ~"‘£ 7i) +4: ,A
w4ew5+6 do; 3:“ /'VV“ />L I I .5 “f, I
/—°° ﬂ ._) « rod [2. a {i " Al; (A
5 +69 I G “(d
~_ "I A; , a
:2 inf;— 6: J; FLA 1
_ '3 s A» ‘3’ L“
(L “‘9' ya a (b) « ﬁq
* I ‘ 3 ‘12:,
“W HAN ’_ 2" Ci (page W *2) & J]
j, — :L— "76” (
2/07 (Na?
44? c2
3 «w “L, n vex/5% Page 4 of 8 MATH1326THQ_6, 20160215 22:59 ’roblem 3 Evaluate each of the following improper integral. 0" 49:
Lo <\/(x2+2)3) dm & “ ~al\ 'fﬁ Z M
=5 M l «4319 L)
a 4’ 0 U1: 7(er
$ f h A
: I‘m/\ N‘g 'A/pqez’ Aurrlmw '7‘
+ "W‘ “F1 ML
have V3414“; xu C X,
x/ZV
:1. ) x 4 4 : ,4?
‘ ‘W‘ “j: J” (9: + «’7/
aravem U; Vﬁz+z ‘ H L
w 7 U”
liW 7/; l)???“ \i’EﬁQ \Il
2 W ‘F
/—+ 1‘“
WE» \xz, Page 5 of 8 MATH—1326THQ_6, 20160215 22:59 ’roblem 4 Find all ﬁrst and second order partial derivatives for each of the following functions. Find g 2 fm, g; = fy, % : fmma gig: Z fyy: "5% = fya: and $ 2 z = f(x,y) = 2:33 + 6313 — 5w2y + 3223312 + 3
“1 2
a I L .. 4‘ Z
iw éx iaxu\f% 3
fix w, I‘K‘rjlqgﬁl floq'VLKI
J / 1
[MW ' ’7’ 7"” ’0 7
’ ., 3 [p 9 w )0 «f + (b)
2 = ﬁx, 3/) = z = f ($7 9) = 44—5”) ‘E, Z.» L0U$ Vi /_ 2 4’C7C Vida,
iiﬁz: 95 ﬂ 6 j =—Q§¥j€4 m g‘ ’30,
{\A _ 2? ‘V'ﬁwﬂ " 3’56“ 3
“WW on / z = f(xay) = In (5:132 +3y2) .13. Page 6 of 8 MATH1326THQ.6 , 20160215 22 :59 . O 2 f 2.
_, Page 7 of 8 MATH1326THQ_6, 20160215 22:59 ’roblem 5 Find all ﬁrst and second order partial derivatives for each of the following functions. Find May), fy(w,y), fm(w,y), fyy(w,y), fyx($,y) and fxy(w,y))
a z = m, y) = e<¢2—y2m> 1'72; 7 .
3y: 6"4 ﬂ 1%“ (24<Zﬁ\ , _2_ 4
L1" 5/] j A; (Jam—An
£49? : E’fzw‘jﬁ—LW (‘_Z!+,’;.j\<1/+_2Ad\
+ 2 ﬂlz’ﬂzﬁl/lW
— {nEl4w l 6% /¢23«24)(.27al,\m
f, 2 a Ail ' lqml ('1 Page 8 of 8 MATH—1326THQ_6, 20160215 22:59 (b) 24% ,y 5"
Z:f(x’y)=ln‘( 234% QEMWQ: my» swws’w ** Mawﬂ ...
View
Full Document
 Summer '12
 McCarty
 Calculus

Click to edit the document details