Problem set 2 -Solutions

Problem set 2 -Solutions - Snlutinns Sectiun 5.6 2 feasfax...

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Unformatted text preview: Snlutinns - Sectiun 5.6 2* feasfax+b}dx L'Ei I" =53+b 3. {$2119de Let u =JrEl +1 dfl=fldl fin =3x2dx If i . 1 12" =— cnsudu=—5mu+f :_ 1"d :——+C ‘11 H a] " 3m: :Esiniax+b}+fl'. 29“ H: _ 3IJ12 I 4. [431‘ 5iJ1{£1‘1d.r Ln.eltu=.*32“1r 1 .x _ _ E duzlehdx 46. Area—f“ I1+Ifidx Leta—x +lfi l 1 I dun =2.de zifsmuduz—Em5u+f _1f2ud_fl_lhw2u l _ _ = —E cusieh} + C. i m u 1 [15 5 :—nEfl—lnlfi}=—I.n — sq.units. 1 E 2 4 «E. fsmfid; Let H zfi 4.? d; d:— lfainudu = —lm5u+ C _ —Ecus£+€. Sulutiuns - Sectiun 5.? 1 J. 2. Area at 22 2! {57—21522 12. Area of shaded regifln = 2! [[1 —;li — {21— 1511.22 El E1 1 2 i 2 l 1 =(EIEH—§.¥3)u=§—§=—Eq unit—2 : 1" i=2” “‘13 Flfia 5-11 Fig. 5.2.12 4. Fur intersactiuns: IE. :22 . E 21—22::51—2125251—szfl an”: flail—5‘“ IM‘ 12...: =U-12r 4. 1"” l+cuslltl 4 = If Trix Arenafflzf [52—21—{21—221152 “ "a fi- smllr} IF 4 = .i: + 2 = E sq. units :1. [52 —2xiiiix u {l- 4 2 3 2 ‘1 5“ . = — - = — . I . I 3.2 n 3 sq mu 5 T 3:522—221 Fig. 5.2.i2 Fig. 5.2.4 . . H.251 fii FM WEDGE: 21}. Area A :1] (€051.21: —5§.fl2_1'}d.1' T+y=1yE—y+3=23yE—E}i—¢=fl “m 2:24 iii — 22:2 + n = n =2 22.. 2 = —I or i- =2! 222221.22 = 2.222; = 1 sq. units. III III 1 magnum] [{T+}'j—[E}'E—y+3}]d}1 —1 E 1 :1f[1+;F—y}d}' —1 1! IEl _2(.1}‘+E}' —E}‘) 1 = 9 sq. units. —1 IF' Fig. 5.2.22 Fig. 5.2.5 ...
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