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Course: MATH 107, Spring 2008
School: UNL
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107-Sec Math 250 Spring 2003 No. score 1(a, b) 1(c) Exam 3 Name: Recitation Instructor: 2 3 4 5 6 7 Total 1. (30 points, 10 points each) Determine whether the following series converge absolutely, converge conditionally or diverge. You must show all details to receive credit. a. k=1 (-1)k 3k 3 - 1 k 4.07 + 2 b. k=1 (-1) k 4k - 1 3k + 2 k 1 c. k=1 (-1)k 99k k! (2k + 1)! 2. (18 points)...

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107-Sec Math 250 Spring 2003 No. score 1(a, b) 1(c) Exam 3 Name: Recitation Instructor: 2 3 4 5 6 7 Total 1. (30 points, 10 points each) Determine whether the following series converge absolutely, converge conditionally or diverge. You must show all details to receive credit. a. k=1 (-1)k 3k 3 - 1 k 4.07 + 2 b. k=1 (-1) k 4k - 1 3k + 2 k 1 c. k=1 (-1)k 99k k! (2k + 1)! 2. (18 points) Find the interval on which the following power series converges absolutely. Also, find the radius of convergence and make sure to discuss in details the convergence/divergence of the series at the end points of the interval you have found. k=1 (-1)k (x - 2)k+1 k (1) 2 3. (9 points) Find the first three non-zero terms of the Taylor series of f (x) = (1 + x) 1/3 about x = 0. You need not find every term in the series. 1 4. (8 points) By using Taylor the series: xk , |x| < 1; find the Taylor series of = 1-x k=0 x5 f (x) = about x = 0. Make sure to include the interval of convergence. 9 + x2 5. (8 points) By eliminating the parameter, find the xy-equation for the curve C : x = 2 - cos t, y = -1 + sin t, 0 t 2; and sketch C with orientation. 3 6. (12 points) Suppose that a function f (x) has the following Taylor series about x = 0: f (x) = k=3 (-1)k 2k x , -2 < x < 2. 4k (k + 1) (2) a. (8 pts.) Find the exact value of f (66) (0)...

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UNL - MATH - 107
Math 107-Sec 250 Spring 2003Exam 1Name: Recitation Instructor:No. score123456Total1. (27 points, 9 points each) Evaluate each of the following integrals (You must show all of your work to receive full credit. Here, no calculator
UNL - MATH - 107
Math 107-Sec 250 Spring 2003 No. score 1(a, b) 1(c)Exam 2Name: Recitation Instructor:23456Total1. (30 points, 10 points each) Evaluate each of the following integrals (You must show all of your work to receive full credit. Here, no
UNL - MATH - 107
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UNL - MATH - 107
Math 107-Sec 510, Summer '04Exam 2Score:Name: TA's Name: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(20pts) Evaluate the integrals by the method of integration
UNL - MATH - 107
Math 107-Sec 510, Summer 03Exam 1Score:Name: TAs Name: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (27 points, 9 points each) Evaluate each of the following in
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UNL - MATH - 106
March 12, 2002MATH 106 Sec 351352 Exam IISpring Semester, 2002 Score:Name: Instructions: You must show supporting work to receive full and partial credits. 1(20pts) (a) A function f is given at the those x values shown in the table. x 0.8 0.9 1
UNL - MATH - 106
Math 106-Sec 45X Fall '04 Name: page score 1Exam 1 TA's Name: 2 3 4 5 6 totalScore:Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(14pts) (7pts each) (a) Find the l
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UNL - MATH - 106
UNL - MATH - 106
UNL - MATH - 106
Math 106-Sec 35X Spring '06 Name: page scoreExam 1 TA's Name: 1 2 3 4 totalScore:Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(16pts) (8pts each) Find the limits
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Math 106-Sec 51X Summer '05 Name: Problem Score 1 2Exam 3 TA's Name: 3 4 5 6 TotalScore:Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(20pts) Find the following li
UNL - MATH - 106
Math 106-Sec 51X Summer '05 Name: Problem Score 1 2Exam 3 TA's Name: 3 4 5 6 TotalScore:Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(20pts) Find the following li
UNL - MATH - 106
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UNL - MATH - 106
Math 106-Sec 45X Spring 06Exam 3Score:Name: TAs Name: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed.21(15pts) (a) For the denite integral sum L4 .1ln x dx, nd
UNL - MATH - 106
Math 106 Fall '08Exam 2Score:Name: TA's Name: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(18pts) (9 points each) Find (a)dy dxfor each of the functions. (Do
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UNL - MATH - 106
Math 106-Sec 51X Summer '05 Name: page score 1Exam 1 TA's Name: 2 3 4 totalScore:Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(14pts) (7pts each) (a) Find the lim
UNL - MATH - 106
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Math 106-Sec 51X Summer 05 Name: Problem Score 1 2Make-Up Exam 5 TAs Name: 3 4 5 6 7 TotalScore:Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1(10pts) The graph of
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UNL - MATH - 208
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UNL - MATH - 208
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UNL - MATH - 208
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UNL - MATH - 208
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UNL - MATH - 208
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UNL - MATH - 208
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UNL - MATH - 208
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UNL - MATH - 06
Math 208 Quiz 3 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) If fx (1, 0) = 2, fy (1, 0) = 1, nd the unit direction at which f increases most rapidly
UNL - MATH - 208
Math 208 Quiz 3 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) If fx (1, 0) = 2, fy (1, 0) = 1, nd the unit direction at which f increases most rapidly
UNL - MATH - 07
Math 208 Quiz 5 Name: Score: Instructions: You must show supporting work to receive full and partial credits. No text book, notes, formula sheets allowed. 1. (4) Set up an iterated integral in the spherical coordinate for the triple integralQxz dV
UNL - MATH - 208
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