09mid2sol - 1. Calculate the arc length of the curve 3:; =...

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Unformatted text preview: 1. Calculate the arc length of the curve 3:; = 2(rc + 1W2 over the interval [0, 1]. 3/?3067‘0176‘ (sf/)R‘2C?Of-H) . \I We UT°IX+/o Mz‘hflv ohmz’l’ob‘ 2. (a) Evaluate (ids: “‘3 Fm“ <m+1xx+3> (b1 Using part (3,), evaluate m 6 dm U0 )Wm‘fi] f0 (m+1)($+3) (00 g flA If; :A{x+§)+7§0e+1) (XHWH?) ’ X—H +X+§ WNW“? a: (AHSJMUAflQ A+ 4:0 kw“ EAJAZL (AZK/rsttg M70 1 .33.... ~LJ7a:2/L/2g+;) 3m 5w m _Z/ghw§,+c I2 Jaw W 4 Afl- H ~ S AM (L) 50 Mg) " Q (m—r)(x+3) l? .2. 1m sfin/xw {fix/xm/ K409 O J 2/6?» K[’(/fla/K+11JM/K+z/)»(D“ My] Kfi‘” *3 £13m 3(jh/%/+jn 3): Z/flthLE/flhg K400 T 2/611 3. Determine the limit of the sequence or show that the sequence diverges: ['¢F0'“‘{Tl(a)an=:—i (b)an=nsin(%) [Ig/fiOIIQFJj'] L ~ .2/ «23 ewe-r152 >5. (a) (1,4 ggég EJK Mun 3”"’}:L mpg/{W'ihlpo « (“M/LP ME? ‘3 >/ dew—>00}? an I, 70/709 >940?) 75 22m m(EX-‘)~—E7Cfl) "1 x400 w—ij—«a‘f’J - r“ -r‘ 77" 27:21?“ ~ {Ifwm .gfx )(3) : WW) 3' 9\ 4. (a) Find the partial fraction decomposition of [’8 p 0‘ '4 ‘13 J 2 3:2 + 3x + 2 (b) Calculate the partial sums 83 and S4 of the series [6 ’50 U1 9“! J i 2 n2 + 3n + 2 71:1 (Hint: Use part (a).) (c) Find the sum 8' of the series of part [ (7 f 0 i (a) 2‘ fia— +1 3 (x-+I)(x+:1) X“ M31 ' ()C+l)(?‘+9) ; .2 m+éyx+M+8) 'Kn—A A23 "r"; :9. __ 3 __§__, X3+§x+9~ “ X1"! X+9~ ‘ 3‘ ‘1' {Zr-w 'fi —~?:--Z§ U” §3-(I-g‘)+(?’ +(a‘§)“) 5’ ’3: 5. Evaluate the improper integrals Wrn‘v‘dw Kad+ 3 0;“ =/Pliv~ Mpg]; X11,“ a—era) c 01 Rubi—r- K K-rvK-f- . i a f (L) 8Y4 Ca Jfi :jenuwm you: 2 ac ‘ _-; dl/ (Haw aha—3x my XQ‘Jx—onl/A 0" f -r< 46%: 8 J7} UP!» 8 76%6 Aw I 5‘8 Rfioo I, '6‘ 1K v a ‘2 ‘2 i/QW '26“; I w?!» ’TEJFEME RAW l Rack? 6 ...
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09mid2sol - 1. Calculate the arc length of the curve 3:; =...

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