Test4 VersA Key

Test4 VersA Key - 3. A=_{5— (fit-Ody - : fif—xz'dx ' G)...

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Unformatted text preview: 3. A=_{5— (fit-Ody - : 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 Tea-Fitl-l- @ 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=«—%“ (Whig-ha} 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 " “w-Lal'” 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 non-graphing 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 x-axis. (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 non-graphing 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 x-axis. (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 ...
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Test4 VersA Key - 3. A=_{5— (fit-Ody - : fif—xz'dx ' G)...

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