STUDENT NAME: STUDENT SIGNATURE: STUDENT ID NUMBER: SECTION NUMBER AND RECITATION INSTRUCTOR:
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1 MA66 EXAM II SPRING 09 MARCH 5, 09 TEST NUMBER INSTRUCTIONS:. Do not open the exam booklet until you are instructed to do so.. Before you open the booklet fill in the information below and use a # pencil to fill in the required information on the scantron.. MARK YOUR TEST NUMBER ON YOUR SCANTRON 4. Once you are allowed to open the exam, make sure you have a complete test. There are 7 different test pages (including this cover page). 5. Do any necessary work for each problem on the space provided or on the back of the pages of this test booklet. Circle your answers on this test booklet. 6. The exam has problems and each one is worth 9 points and everyone gets one point. The maximum possible score is 00 points. No partial credit. 7. Do not leave the exam room during the first 0 minutes of the exam. 8. If you do not finish your exam in the first 40 minutes, you must wait until the end of the exam period to leave the room. 9. After you have finished the exam, hand in your scantron and your test booklet to your recitation instructor. DON T BE A CHEATER:. Do not give, seek or obtain any kind of help from anyone to answer questions on this exam. If you have doubts, consult only your instructor.. Do not look at the exam or scantron of another student.. Do not allow other students to look at your exam or your scantron. 4. You may not compare answers with anyone else or consult another student until after you have finished your exam, given it to your instructor and left the room. 5. Do not consult notes or books. 6. Do not handle phones or cameras, calculators or any electronic device until after you have finished your exam, given it to your instructor and left the room. 7. After time is called, the students have to put down all writing instruments and remain in their seats, while the TAs collect the scantrons and the exams. 8. Anyone who violates these instructions will have committed an act of academic dishonesty. Penalties for academic dishonesty include an F in the course. All cases of academic dishonesty will be reported to the Office of the Dean of Students. I have read and understand the above statements regarding academic dishonesty: STUDENT NAME: STUDENT SIGNATURE: STUDENT ID NUMBER: SECTION NUMBER AND RECITATION INSTRUCTOR:
2 . Find the area enclosed by the curve y = x and the x-axis A. π B. 9π C. π D. 4π E. 6π. Evaluate the integral A. B. 8 4 C. D. 0 dx (9 + x ) /. E.
3 . Compute the integral of x(x + ) dx. A. ln( ) B. ln( 4 ) C. ln( 8 ) D. ln( 7 ) E. ln( 5 ) 4. If the partial fraction decomposition of A. 0 x x = A x + B x + + C, then A+B +C is equal to x B. C. D. 4 E.
4 0 5. Evaluate the integral xe x dx. A. 4 B. 4 C. D. E. The integral is divergent. 6. For what values of p is the integral A. p B. p > 0 C. p D. p < E. p < 0 dx convergent? xp+7
5 7. Find the exact length of the curve y = x (x ) for x 4. A. 7 B. 5 C. D. E Find the the exact area of the surface obtained by rotating the curve y = x with 0 x around the y-axis. A. 7π B. π 4 π C. D. 4π E. 6π
6 9. Find the centroid of the region of the first quadrant bounded by the curves y = x and y = x. Recall that x = My, y = Mx, M M M y = b x(f(x) g(x)) dx, M a x = b a ((f(x)) (g(x)) ) dx. A. ( 8 5, 6 ) B. ( 8 5, 8 ) C. ( 8, 8 5 ) D. ( 4 5, 8 ) E. ( 8, 4 5 ) 0. What can be said about the sequence A. The sequence diverges n n + n n + 0 n + n +? B. The sequence converges and its limit is equal to 0. C. The sequence converges and its limit is equal to. D. The sequence converges and its limit is equal to. E. The sequence converges and its limit is equal to.
7 . Compute the sum of the series A. 8 B. 7 C. 6 D. 5 E. 4 n=0 5 n+ n+ 0 n.
8 MA66 EXAM II SPRING 09 MARCH 5, 09 TEST NUMBER INSTRUCTIONS:. Do not open the exam booklet until you are instructed to do so.. Before you open the booklet fill in the information below and use a # pencil to fill in the required information on the scantron.. MARK YOUR TEST NUMBER ON YOUR SCANTRON 4. Once you are allowed to open the exam, make sure you have a complete test. There are 7 different test pages (including this cover page). 5. Do any necessary work for each problem on the space provided or on the back of the pages of this test booklet. Circle your answers on this test booklet. 6. The exam has problems and each one is worth 9 points and everyone gets one point. The maximum possible score is 00 points. No partial credit. 7. Do not leave the exam room during the first 0 minutes of the exam. 8. If you do not finish your exam in the first 40 minutes, you must wait until the end of the exam period to leave the room. 9. After you have finished the exam, hand in your scantron and your test booklet to your recitation instructor. DON T BE A CHEATER:. Do not give, seek or obtain any kind of help from anyone to answer questions on this exam. If you have doubts, consult only your instructor.. Do not look at the exam or scantron of another student.. Do not allow other students to look at your exam or your scantron. 4. You may not compare answers with anyone else or consult another student until after you have finished your exam, given it to your instructor and left the room. 5. Do not consult notes or books. 6. Do not handle phones or cameras, calculators or any electronic device until after you have finished your exam, given it to your instructor and left the room. 7. After time is called, the students have to put down all writing instruments and remain in their seats, while the TAs collect the scantrons and the exams. 8. Anyone who violates these instructions will have committed an act of academic dishonesty. Penalties for academic dishonesty include an F in the course. All cases of academic dishonesty will be reported to the Office of the Dean of Students. I have read and understand the above statements regarding academic dishonesty: STUDENT NAME: STUDENT SIGNATURE: STUDENT ID NUMBER: SECTION NUMBER AND RECITATION INSTRUCTOR:
9 . Find area of the region bounded by the curve y = x and the x-axis. A. π B. 9π C. π D. 4π E. 6π. Evaluate the integral A. 4 B. C. 8 D. 0 dx (4 + x ) /. E.
10 6. Compute the integral 5 x(x 4) dx A. 4 ln(7 ) B. 4 ln(0 ) C. 4 ln(5 6 ) D. 4 ln(5 ) E. 4 ln(8 ) 4. If the partial fraction decomposition of x 4x = A x + B x + + C, then A+B+4C is equal to x A. 8 B. 4 C. 4 D. E. 8
11 5. Evaluate the integral A. B. C. e D. E. The integral is divergent. 0 xe x dx. 6. For what values of p is the integral A. p < B. p C. p < D. p E. p 0 dx convergent? x5p+6
12 7. Find the exact length of the curve y = x (x ) for x 4. A. 0 B. 9 C. 0 D. E Find the the exact area of the surface obtained by rotating the curve y = x with 0 x around the y-axis. A. 7π B. π 4 C. π D. 6π E. 4π
13 9. Find the centroid of the region of the first quadrant bounded by the curves y = x 4 and y = x. Recall that x = My, y = Mx, M M M y = b x(f(x) g(x)) dx, M a x = b a ((f(x)) (g(x)) ) dx. A. ( 5 9, 6 7 ) B. ( 8 5, 8 ) C. ( 5 9, 0 7 ) D. ( 5 9, 0 7 ) E. ( 8 9, 0 7 ) 0. What can be said about the sequence A. The sequence diverges 4n n + n n + 0 n + n +? B. The sequence converges and its limit is equal to 0. C. The sequence converges and its limit is equal to. D. The sequence converges and its limit is equal to. E. The sequence converges and its limit is equal to.
14 . Compute the sum of the series A. 80 B. 70 C. 60 D. 50 E. 40 n=0 5 n+ n+ 0 n.
STUDENT NAME: STUDENT SIGNATURE: STUDENT ID NUMBER: SECTION NUMBER AND RECITATION INSTRUCTOR:
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Without fully opening the exam, check that you have pages 1 through 11.
Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages 1 through 11. Show all your work on the standard
MTH 234 Exam 2 November 21st, Without fully opening the exam, check that you have pages 1 through 12.
Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages 1 through 12. Show all your work on the standard
Without fully opening the exam, check that you have pages 1 through 11.
Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through. Show all your work on the standard response
Without fully opening the exam, check that you have pages 1 through 11.
Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through. Show all your work on the standard response
Without fully opening the exam, check that you have pages 1 through 12.
MTH 33 Exam 2 November 4th, 208 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through 2. Show
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MTH 33 Solutions to Exam November th, 08 Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through
Without fully opening the exam, check that you have pages 1 through 12.
Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages 1 through 12. Show all your work on the standard
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Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the eam, check that you have pages 1 through 10. Show all your work on the standard
I have read and understood the instructions regarding academic dishonesty:
Name Final Exam MATH 6600 SPRING 08 MARK TEST 0 ON YOUR SCANTRON! Student ID Section Number (see list below 03 UNIV 03 0:30am TR Alper, Onur 04 REC 3:30pm MWF Luo, Tao 05 UNIV 03 :30pm TR Hora, Raphael
Page Points Score Total: 210. No more than 200 points may be earned on the exam.
Name: PID: Section: Recitation Instructor: DO NOT WRITE BELOW THIS LINE. GO ON TO THE NEXT PAGE. Page Points Score 3 18 4 18 5 18 6 18 7 18 8 18 9 18 10 21 11 21 12 21 13 21 Total: 210 No more than 200
MTH 132 Solutions to Exam 2 November 21st, Without fully opening the exam, check that you have pages 1 through 11.
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MTH 132 Exam 2 November 21st, Without fully opening the exam, check that you have pages 1 through 11.
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Name: Section: (Recitation) Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through. Show all your work on the standard response
Without fully opening the exam, check that you have pages 1 through 11.
Name: Section: Recitation Instructor: INSTRUCTIONS Fill in your name, etc. on this first page. Without fully opening the exam, check that you have pages through. Show all your work on the standard response
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MLC Practice Final Exam
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Spring 2016 Exam 1 without number 13.
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MLC Practice Final Exam
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Fall 2018 Exam 1 NAME:
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THE USE OF A CALCULATOR, CELL PHONE, OR ANY OTHER ELECTRONIC DEVICE IS NOT PERMITTED IN THIS EXAMINATION.
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Test 3 - Answer Key Version B
Student s Printed Name: Instructor: CUID: Section: Instructions: You are not permitted to use a calculator on any portion of this test. You are not allowed to use any textbook, notes, cell phone, laptop,
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Fall 2017 Exam 1 MARK BOX HAND IN PART NAME: PIN:
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Test 2 Version B. On my honor, I have neither given nor received inappropriate or unauthorized information at any time before or during this test.
Student s Printed Name: Instructor: CUID: Section: Instructions: You are not permitted to use a calculator on any portion of this test. You are not allowed to use any textbook, notes, cell phone, laptop,
Test 3 Version A. On my honor, I have neither given nor received inappropriate or unauthorized information at any time before or during this test.
Student s Printed Name: Instructor: CUID: Section: Instructions: You are not permitted to use a calculator on any portion of this test. You are not allowed to use any textbook, notes, cell phone, laptop,
Test 3 Version A. On my honor, I have neither given nor received inappropriate or unauthorized information at any time before or during this test.
Student s Printed Name: Instructor: CUID: Section: Instructions: You are not permitted to use a calculator on any portion of this test. You are not allowed to use any textbook, notes, cell phone, laptop,
MTH 234 Exam 2 April 10th, Without fully opening the exam, check that you have pages 1 through 12.
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MTH 234 Solutions to Exam 1 Feb. 22nd 2016
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