Solutions-166E2-S99

Solutions-166E2-S99 - MA 166 EXAM 2 Spring 1999 Page 1/5...

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Unformatted text preview: ; MA 166 EXAM 2 Spring 1999 Page 1/5 Page 1 /17 NAME GRADH‘QGJ KEV RECITATION INSTRUCTOR Page 3 _ /20 Page 4 /23 RECITATION TIME Page 5 /18 TOTAL mm DIRECTIONS 1. Write your name, student, ID number, recitation instructor’s name and recitation time in the space provided above. Also write your name at the top of pages 2, 3, 4 and 5. . The test has five (5) pages, including this one. . Write your answers in the boxes provided. . You must Show sufficient work to justify all answers. Correct answers with inconsistent work may not. be given credit. . Credit for each prnbiem is given in parentheses in the left hand margin. . No books, notes or calculators may be used on this test. 2 1 . . (4) 1. Express mfl—i—m as a, sum of partial fractions. Do not evaluate the constants. 272(x2 + 9) #180920 C3501 1 (13) 2.3miuate/ gimdx A (fi:2(13 ‘ N " ‘ X+l A1; +IBX~1~C 1% thmi arde X M b Gw—A. UNI/i '(V-IK L- X(¥1*i) XQ'H Sigma?) {p fich% fun. and, : Ax2+A +BX2+CV chime ) (tr—C. ; 1-:A X+i --X 7: 3.... 4.. +1- x x2+L MA 166 Exam 2 Spring 1999 Name W Page 2/5 V ‘4 . {38) 3. Determine whether the improper integra} converges or diverges. If it converges find . its value. Imgortant: Show dearly how fimits are involved. “’0 fzmxfifixfidfig ‘-'-‘~ 4"“ bwaos nab/ax x32 "—3 “cg/“Q. m “b "w :1me I u~3oLw2 haw £402 s .2. f: m (L .3 Wm” “’2 LN; ..~ b “+06 2 “finial 2. (QinZ) @ . :- 2... A“... 2— W2): 1 \a 3 1 d 7 1 i Am (3 3* (b) j; (a:-1)4/3 m "‘14 (xuirvli Ar}! (WA/3M 1 c. 4, .- 30 (xvi) /3 Cray" 0 9(4)”? ,L C, 1': firm [0(4) 3‘3 C41” "1} o C. :Lm [m 3 y Cal“, (Xxx) a 0 . I 1‘ . MA 166 Exam 2 Name Spring 1999 Page 3/5 (10) 4. The base of a solid is a circle of radius 1. The cross sections perpendicular to a given diameter are squares. Find the volume of the soiici. 3 M 3 (10) 5. Let R be the region between the graphs of y : x/x + 1 and y 2 V9: - 1 on the interval {1, 3]. Find the volume of the solid obtained by revoiving R about the 3: axis. AV 2 [7T (mfivm: 714x .:fi*? 1 v-Hm+o~m~O cg ‘ 3 1C9 W C9 mfgrralx V l ’5 - QTYX) MA 166 Exam 2 Spring 1999 Name W Page 4/5 '. (10) 6. Let; R be the regmn between the graph of at 3 mi; and the g; was on the Interval 1 g y f; 2. Set up an integral (in y) for ithe volume V of the solid generated by revoking R about the az—axie. Do net evaluate the integral. (13) 7. A tank has the shape of the surface generated by revolving the curve y :z 393, 0 g a: g 1 about the y—axis. The tank is full of water. Set; up an integral (in y) for the work W required to pump all the water to a level 4 feet above the top of the tank Do not evaluate the integral. (Water weighs 62.5 lbs/£133). ‘3 MA 166 Exam 2 Spring 1999 Name WWW... Fage 5/5 ,“ a. (10) 8. Find the center of gravity (52,3?) of the region bounded by the graphs of :z: = 3/2 am} Symmtfj ~48 5': O @ ...
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Solutions-166E2-S99 - MA 166 EXAM 2 Spring 1999 Page 1/5...

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