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 Document
Unformatted text preview: 3. A=_{5— (fitOdy
 : fif—xz'dx '
G) W. = or jammy
“77 E(XI+ZDL5X
o
"/n‘ j: adulﬂl—Hf of)?
o
@ (33(04 =F(m+ =CF37+ WW (a) émh 3 (aY’+ 3(3)?» 300")
:30 + 4 +9440) ;_90 L 4‘ "‘ ) fwd)“: 953/0 i=0”
0 w meﬁ'b IBI TeaFitll @ 5 ‘
—J— OX @ @ééa A” +2..
(7'9: 306%“; l 5
r MIX+94]! =Jp'3r" *JnB
3 [0: L
@ flea{7C +00” 9:12”?! 3 :Jn 3 J a.
_ a ,3:x 3 5 
jqfxlcl) JR @ﬁﬂe +X 3x2'dv
’— "I
3"" X’m if + + Cl
,_3? C4
Muzaxﬁ}
, /~ L ’
(3) VOL. a “53900: d! E) jx1/3x7'1b/ 0/)” culturade
3 l “L 4d“. xdx
:j‘qr (gm +13 01K ., (a
0 a ’ ‘1' Suzi“: 3
1r 2..
3 W f Haw +I clx‘w _L 3; 3/2'+C=«—%“ (Whigha}
K x O _ 7_ . (a 5 H/ I £3: =11
@ Q‘m .4. 39(334— 2083+ 50+?) 0 a) jxganxfdx 05:: ’de x
(aw Maﬁa qﬂﬂgmlyo fiadw 1 £4.04
(Q + g_+ )9 4. 32.303 7 T 7.3;;
210;  ' cw? 1Q: * 4 3 w 9 1 " “wLal'” H9
53 faxldwégLJ I'd—77d“ (575 “5‘” I
0 o I 1 3 3 um“)??? i'
’ "' I h
N D fxd3xl+/ 0W s o L 31L 3/L _ Wm .. m ) ./ 4&1‘375'W 7.“) ) _ a ' (8’0": 3 j" Math 131 Test #4 Var: A
Show all of your work. You may use a nongraphing calculator but it’s not necessary.
Good luck and Happy Thanksgiving! 1. The atmospheric pressure , P(x) at height , x, miles above sea level satisﬁes the
differential equation P'( x) a: —2P(x)
Find a formula for P(x) if the pressure at sea level(F0) is 50. 2. Set up the integral to ﬁnd the area between y n 5 and y = 1:2 +1.
(Note: you do not need to evaluate the integral) 3. %n% volume if f (x) = x2 + 2 from x=0 to x=2 is revolved arOund the xaxis.
(Do evaluate this one.) 4. a. Use Riemann sums with 4 subintervals to approximate the area under
f (x) == 3):2 from x=0 to x=4 using the right hand endpoints.
b. Integrate to ﬁnd the exact area you approximated in the ﬁrst part. 1
1+3 5. Find the area under f (x)  from x=2 to x=5. (Evaluate) 6. Evaluate the following integrals. a. f3eh+2xﬁﬁgdx
x b. 1‘ mlsz + ldx l E
c. f Minx)2 7. Evaluate the following deﬁnite integrals. a. 3%dx I 2
h. f mlsz + lair (note; look at your 6b)
0 Math 131 Test #4 l/mﬂ Show all of your work. You may use a nongraphing calculator but it’s not necessary.
Good luck and Happy Thanksgiving! 1. The atmospheric pressure , P(x) at height , x, miles above sea level satisﬁes the
differential equation P’(x) = —.2P(x)
Find a formula for P(x) if the pressure at sea level(x=0) is 50. 2. Set up the integral to ﬁnd the area between y = 5 and y = x2 + 1. m v
(Note: you do not need to evaluate the integral) 3. Mvolume if f (x) = x2 + 2 from x=0 to x=2 is revolved around the xaxis.
(Do evaluate this one.) 4. 3. Use Riemann sums with 4 subintervals to approximate the area under
f (x) = 3x2 from x=0 to x=4 using the right hand endpoints.
b. Integrate to ﬁnd the exact area you approximated in the ﬁrst part. 1
x+3 5. Find the area under f (x) = from x=2 to x=5. (Evaluate) 6. Evaluate the following integrals. a. 1.3.9” + 2x6  3:63:11: b. Inlsz + ldx C. 1—2dx
x011 x) 7. Evaluate the following deﬁnite integrals. a. jﬁdx i
b. I mlsz +1dx (note; look at your £13.)
0 ...
View
Full
Document
This note was uploaded on 06/10/2011 for the course CH 101 taught by Professor Bigham during the Spring '08 term at N.C. State.
 Spring '08
 BIGHAM
 Mole

Click to edit the document details