uiz __3__ Math 141 Calculus II Name _______________ Ms. Chowdhury Spring 2016 Date ____________________ INSTRUCTIONS The quiz is worth 30 points. There are 10 multiple choice (2 points + 1 pt each for attached work). 1.)This quiz is open book and open notes, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone. 2.) You should show all of your work for the to receive full credit. If you do not show work, you may earn only partial or no credit at the discretion of the professor. 3.) Please type or handwrite your answers on the provided answer sheet. Be sure to include your name in the document. Review instructions for submitting your quiz in the Unit Quizzes Module. 4.) Finally, be sure to sign the honor statement. Without this your quiz may be invalidated. If you have any questions, please contact me by e-mail. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the improper integral converges or diverges. 1 dx 2+2 x 1) 1 1) A) Converges B) Diverges dx 2) 10 2 2) x-3 A) Converges B) Diverges Evaluate the definite integral by making a u-substitution and integrating from u(a) to u(b). tan x dx 3) 3) /6 A) 3 2 B) ln 3 2 C) ln 1 2 2 D) 2 2 Evaluate the definite integral. /2 x2 sin 3x dx 4) 0 Give your answer in exact form. 2 2 + A) B) 27 9 27 9 4) C) 1 + 27 9 D) - 2 9 9 Evaluate the improper integral or state that it diverges. dx x3 5) 1 A) 1 2 14 6) 5) B) 1 C) 1 3 D) diverges dx 6) 49 - x2 0 A) 1 ln 3 14 B) 1 1 ln 14 3 C) 1 1 ln 7 3 D) diverges Evaluate the integral. 7) x e12xdx 7) A) B) 1 2 12x 1 x e x e12x + C 2 12 C) 8) 1 1 12x +C x e12x e 12 12 1 1 12x +C x e12x e 12 144 D) 1 1 12x +C x e12x + e 12 144 x e9xdx 8) A) B) 1 1 9x x e9x + e +C 9 81 C) 9) 1 2 9x 1 x e x e9x + C 2 9 1 1 x e9x - e9x + C 9 9 D) 1 1 9x x e9x e +C 9 81 x sin 6x dx 9) A) - 1 1 x cos 6x x sin 6x + C 6 36 B) C) - 1 1 x cos 6x + sin 6x + C 6 6 D) - 2 1 1 x cos 6x sin 6x + C 6 36 1 1 x cos 6x + sin 6x + C 6 36 10) sin t (9 + cos t)6 A) C) 1 dt (9 + cos t)5 1 10) +C 5(9 + cos t)5 B) +C D) 3 1 7(9 + cos t)7 5 (9 + cos t)5 +C +C