Practice Test_Spring 2005

Practice Test_Spring 2005 - Form B Math 1206 Common Part...

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Unformatted text preview: Form B Math 1206 Common Part 'of Final Exam May 10, 2005 INSTRUCTIONS: Please enter your NAME, ID NUMBER, FORM designation, and CRN . on your op scan sheet. ‘The'CRNshould be written in the upper right-hand box'labeled "Course." Do not include the course number. in the box labeled "Form," write the appropriate test form letter shown above. Darken the appropriate circles below your lD number and Form designation. U.se.a #erpencil. Markyourna‘nswers to the-testaquestions in rowed-15 of the :op—scan sheet. Youchave 4 hour to, complete this part of the final exam. Your scoreon this part of the final exam will be. the number of correct answers. Turn in the op scan sheet with your answers and the question sheets, including this cover-page, at the end of this part of the final exam. Any . additional parts of the examwillbegin after all students have completed this commonpart. Exam Policies: You may not use a. book, notes, formula sheet, or'a calculator or computer. Giving or_receiving unauthorized aid is an Honor Code Violation. . Signature Name (printed) I l f Student ID _# i 2 1'. The integral j ~33:— has value ‘ —1 (1) 1/2 (2) 3/2 (3) 7/4 ' , (4) No Value. Integral Diverges 2. Evaluate dX ‘ (X +1)(x + l) l (1) 1n(x2+1)+tan'1x—2mlx+1|+c (2) tan'lx—Zlnlx+1I+C ' (3) 51n(x2+1)+31n|x+1|+c (4) 1n(X2+l)+1nlx+ll+C C 3 3. Calculate! de x 1 21114X+31n2X-X c 4 2 r c (1) (2) [(2111 4+3ln x—x)1m]l (3) 4 (4) None of the above 4. The region bounded by the graph of y = e", the y-axis, and the line y = 2 is revolved about the line x = - 1. What is the volume of the solid? 2 1x12 (1) a! (lny)2dy (2) 27c]. (x+1)(2—e")dx I 0 ln2 2 (3) 27:! x(ex—2)dx (4) 7c] (1+lny)2dy 0 1 dx 5. Inte ate ———— gr I x2+4x+13 (1) h1(x2+4x+l3)+C (2) 1 1n(X2+4x+13)+C 2x+4 (3) ltm—1[X+2)+c (4) tan—1(X—fl)+c 3 3 \ 3 6. Evaluate 11m (1+2tanx)3/x x—>0+ (1) e6 i (2) 6 I (3) 1 (4) Does not exist ‘ 7 7. Which of the following is the Simpson’s Rule approximation to J 1nx dx with 6 subintervals? 1 (1) lnl+ln2+ln3+---ln7 (2) g[Zlnl+41n2+2h13+~--+4ln6+2h17] (3) %[hil+21n2+21n3+---+21n6+1n,7] (4) . %[m1+41n2+21n3+-~+41n6+h17 ] (7 O 8., Integrate J.le coskidx 3 (1) xzsinx‘t'erosx—Zsinx+ c (2) X?sinx+ c (3) XZSinX-ZXCOSX+23111X+ C (4) Xzsinx+xcosx+sinx+ C : Ssifl[1 —9- "sequel to What integral? 4 n n - 9. The limit hm ‘ k: 10 (I)! «(Ssinx dx _ 1 I (3)! 1[Ssinx dX 1 . V 9 r r (2) I a/S sinx dx' _ . o _ (4) None of the above 10. Let R‘be the region bOunded bjthe graphs of "y x + 2 and y = X2. The vmomentvof the. region about the y-aXis and the y-‘coordinate ofithe‘centroid‘are " ' ' “ :r - ~ - ~ 2 M (1) My=J X(X+1—X2)dX; V: y 2 . I g ' ' M 2 M = XX+1—x2 dX; —= X Area () (y I ( ) y «Area -1 —1 2 ' 2 ' 1 ' 2 4. I My . 1 2 4 .5. M 3 M =— X+1 —x'* dx; = , 4 M =— X+l —X dx; x 0 y ZLR ) )1 yArea 0 y 2 _1[< ) )1 y 11. Find y(2) if y” = 4+—22— With initial conditions y'(1) = 5 and y (1) = 7 X. (1) 12+21n2 (2) 16—21n2 2 (3) j (4X +21n(x2) +1) dx (4) y is not defined at X = 2 1 12. The integral dX .2 has thevalue 0 (X+2) (1) —: 1/4 (2) 1/2 (3) 1/4 (4) No Value. Integral Diverges. 13. The region bounded by the graphs of y = x + 3 and y = X2 + l is revolved about the X-axis. What is the volume of the solid? 5 5 (1) 27c! yy/y—ldx (2) 2n! y(,/y—1—y+3)dx l l 2 2 (3) R] [(x2+1)2—(x+3)2]dx (4) n! [(x+3)2—(x2+1)2]dx -1 —l 7 14. Evaluate 5t2 +1 dt dx x2 (1) \/5x4+1 (2) —\/5x4+1 (3) —2x\/5x4+1 ‘ (4) 2xx/5x4+1 15. A flat metal plate weighing 100 lbs is being pulled up the side of a 50 foot building by a rope weighing 1/2 pound per linear foot. As it is pulled up the excess rope is dropped on the top of the building. How much work (in foot pounds) is done in raising the plate from ground level to a point 20 feet above the ground? (1) 125-20 (2) 100-20 20 20 (3) j [MS—gjdx (4)! [100+3zijdx 0 _ _ - 0 ...
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Practice Test_Spring 2005 - Form B Math 1206 Common Part...

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