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: 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 ...
View
Full Document
 Fall '08
 Bonner
 Calculus

Click to edit the document details