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exam2A_soln - Your Name Printed Clearly Your Discussion...

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Unformatted text preview: Your Name Printed Clearly! Your Discussion Leader Name _______________._ Discussion Period EXAM 2A 0 BOYLAND o CALCULUS 2 0 FALL 09 PART A: Short Answers Do not show work, just give the answer in the space provided. A1.(2% points) Does this limit converge or diverge? If it converges, give the value. ' 514 T . 57171- C I W‘ ‘ 11m cos( :EE’? CS< I +15. "*°° 1+5711/1 ace 1 ' ”‘ A2. (21 points) Does this series converge or diverge? If it converges, give the value. 53W : E07; 5) Z > ”= 7:] Jim/Q1785, M >/ A3. (21 points) Write down, but do not2 evaluate the integral that gives the area of the surface Answer 2C1 l (191/ 76g obtained by rotating1T the curve y— - sin(:c )for 0 < at _<_ 7r about the x— axis. Answer— — (A S: QH 5)“ (X) 1/ (605(73‘) Q7<\2 7‘ A4. (21 points) Evaluate if possible l q l .l /21—- dx x 7’ 2x2 JDO 7—] Answer=<lwer7ag + 1M ‘égx _ +_ Q30 0 Page 1 of 5 Total points this page out of 10 PART B: Long Answers Show all your work and justify your steps for partial credit. B1.(10 points) Find the length of the curve 1:3 1 y=—6—+§;,1§m§2 '2. C x .4 — ~_./ ’_ 2, ll 3. 3% am @qu : Nél—I—J L / Z :2; 2 5 L _, Z '~2_ 3 / f >< A <1 2 X 9_ A S; ”’5 +g2x X 7: 03% l' :2_~L~’_L_J :;+_./:25>+e 6 % é 2 é % ”:7 Z: 17 Total points this page out of 10 Page 2 of 5 B2.(10 points) Compute the indefinite integral Page 3 of 5 Total points this page out of 10 B3.(10 points) Compute the indefinite integral Page 4 of 5 A} x I 7 Total points this page out of 10 gm 3,. a m ~ng C\(:1V‘[%): ‘m/L)»~]m[3> 00 a o 2 ~ [72,) 35> f14(%;>~li“” 11/) M” th [1609 Page 5 of 5 Total points this page out of 10 ...
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