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fe environmental practice exam pdf

The manual includes sample questions for each test section of the exam, and step by step solutions are provided. Date: 04/12/10 5 Problems. The rate of change of acceleration at time t=2 is: 72 b. 96 km b. FE Mechanical Review Manual features include: complete coverage of all exam knowledge areas equations, figures, and tables for version 9.4 of the NCEES FE Reference Handbook to familiarize you with the reference you'll have on exam day concise explanations supported by exam-like example problems, with step-by-step solutions to reinforce the theory and application of fundamental concepts … You can download 100% free PDF to try before you register for Premium Files. $96.99. Specifically designed using The National Council of Examiners for Engineering and Surveying (NCEES) exam specifications, School of PE’s FE Environmental prep course is aimed at helping its students to pass the FE Environmental exam. The Fundamentals of Engineering (FE) exam is generally your first step in the process to becoming a professional licensed engineer (P.E.). 1.6 days b. If students can answer those questions in a shorter time frame, the remaining time could be used in … Accessibility Resources | EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 Find the radius for the circle with the equation EMBED Equation.3 . Pass the PE exam in the appropriate discipline. Compute the volume for this paraboloid. EMBED Equation.3 b. EMBED Equation.3 c. EMBED Equation.3 d. EMBED Equation.3 Questions 36-38: Given the set of equations represented by EMBED Equation.3 , where EMBED Equation.3 Determine the adjoint matrix EMBED Equation.3 EMBED Equation.3 b. EMBED Equation.3 c. EMBED Equation.3 d. EMBED Equation.3 Determine the inverse matrix EMBED Equation.3 EMBED Equation.3 b. EMBED Equation.3 c. EMBED Equation.3 d. EMBED Equation.3 Determine the eigenvalues (characteristic values) associated with the matrix EMBED Equation.3 . Pass the FE exam. Waiting for results. What is the equation describing the population growth? It may take only 30 seconds to answer some of the exam questions. A, B, E, and F each equal to 0; C and D positive. 6.0k. It is designed for recent graduates and students who are close to finishing an undergraduate engineering degree from an EAC/ABET-accredited program. Date: 04/12/10 4 Problems. D! D! EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 How long will it take for the population to triple? Å9 Å9 õ* â D! 2, 6 b. Which of the following choices is the general solution to this differential equation: EMBED Equation.3 EMBED Equation.3 ? -16 km/h EMBED Equation.3 b. area under the curve between certain bounds. (It is strongly recommended that students reference the “Kickoff slides” found on this page.) I want to make sure everyone . Å! In most cases, this must be completed under the supervision of a PE. Volume 4. Practice Problems for FE exam,Civil,Mechanical, electrical and Problems are solved step by step so you could review the course while solving problems PDF - EIT… Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. A, D, E, and F each equal to 0; B negative and C positive. 2010 Edition of the FE (Fundamentals of Engineering aka E.I.T) Exam Review Manual by Lindeburg with updated sections for Biology and other sciences. &F gd¤Ep Information on the FE exam and how to register - http://ncees.org/exams/fe-exam/, Environmental FE exam specifications - https://ncees.org/wp-content/uploads/FE-Environmental-CBT-specs.pdf. 1 Fundamentals of Engineering Review for Dynamics Dr.’s Yannitell (retired) & Dr Waggenspack mewagg@me.lsu.edu Louisiana State University FE Environmental Practice contains nearly 330 problems designed to reinforce your knowledge of the topics presented in the NCEES fundamentals of engineering (FE) environmental exam. 0 c. 52/3 d. 26/3 If EMBED Equation.3 , which of the following statements must be true? ht/ CJ UVaJ j ht/ CJ UaJ h0i ht/ >*CJ aJ ht/ CJ aJ ht/ CJ aJ h4” CJ aJ h¬\ CJ aJ ht/ ht/ CJ aJ 7 8 \ ª Â Ú ò This way, you will get a good sense of what topics you need to review more. When should you take the exam? Which of the following expressions gives the distance from the y-axis to the centroid of the area bounded by the two curves shown in the diagram? If desired, an FE Environmental Online Practice Exam can be purchased.The FE exam is a computer based test (CBT). NCEES FE Environmental Practice Exam + $60. 5, 0 c. 0, 4 d. 4, -1 If EMBED Equation.3 , then EMBED Equation.3 4 EMBED Equation.3 .25 2 Find the distance between the points P ( 1, -3, 5 ) and Q ( -3, 4, -2 ). Killexams.com refresh and validate NCEES-FE Exam Dumps Everyday to keep the Questions … | … : Fundamentals of Engineering Exam Sample Math Questions Directions: Select the best answer. Email eee@purdue.edu to report a problem, https://ncees.org/wp-content/uploads/FE-Environmental-CBT-specs.pdf, https://engineering.purdue.edu/~xe/FEReview.html, https://engineering.purdue.edu/Engr/Academics/FE_FS_Exams, https://www.purdue.edu/testingcenter/tests/pearson-vue.php, An equal access/equal opportunity university, Maintained by the Engineering Computer Network. D! Fundamentals of Engineering (FE) General Exam Review Program March 3rd ~ April 12 th, 2010. (0, -1/4) c. (1/4, 0) d. ( 0, 1/4) The area enclosed by the curve EMBED Equation.3 is ( b. 53 c. 33 d. 64 The general equation of second degree is EMBED Equation.3 The values of the coefficients in the general equation for the parabola shown in the diagram could be B, C, D, and F each equal to 0; A and E both positive. What is the train’s velocity at time t = 4hours? Date: 04/12/10 11 Problems . The FE is offered in multiple disciplines. A, B, E, and F each equal to 0; D negative and C positive. The Fundamentals of Engineering (FE) exam is computer -based, and the FE Reference Handbook is the only resource material you may use during the exam. 87 km c. 80 km d. 73 km A matrix B has eigenvalues (characteristic values) ( found from which of the following equations? D! I took the FE exam a week ago. Created with Sketch. In our free FE practice exam, we have tried to include the above categories in our questions. I am currently studying for the PE exam, and want to help stay refreshed on the FE Exam content by establishing this awesome community! See it at When Can I Take the PE Exam.pdf. Date: 04/12/10 10 Problems. D! 0.08 m c. 0.16 m d. 0.32 m The period of motion is EMBED Equation.3 sec b. EMBED Equation.3 sec c. EMBED Equation.3 sec d. EMBED Equation.3 sec The equation of the line normal to the curve defined by the function EMBED Equation.3 at the point (1,6) is: EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 The Laplace transform of the step function of magnitude a is: EMBED Equation.3 b. EMBED Equation.3 c. EMBED Equation.3 d. EMBED Equation.3 e. s + a The only point of inflection on the curve representing the equation EMBED Equation.3 is at x equal to: EMBED Equation.3 b. EMBED Equation.3 c. 0 d. EMBED Equation.3 e. EMBED Equation.3 The indefinite integral of EMBED Equation.3 is EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 Consider a function of x equal to the determinant shown here: EMBED Equation.3 . 0 km/h EMBED Equation.3 c. 12 km/h EMBED Equation.3 d. 16 km/h EMBED Equation.3 e. 32 km/h EMBED Equation.3 Let EMBED Equation.3 be a continuous function on the interval from x=a to x=b. hˆÃ CJ UVaJ !j7 ht/ hˆÃ CJ EHöÿUaJ jÆeH $23.67. D! The (2,1) entry of EMBED Equation.3 is: 29 b. FE Exams. In reviewing for the mathematics portion of the exam I found that there were quite a few problems that were straightforward and simple. PE Exam Questions is offering a few exam questions … Å! The National Society of Professional Engineers (NSPE) has developed a succinct document explaining why professional licensure is important. The average value of the curve between a and b is: EMBED Equation.3 c. EMBED Equation.3 EMBED Equation.3 d. EMBED Equation.3 Let EMBED Equation.3 , and EMBED Equation.3 . This book contains 100 questions and solutions to familiarize you with the FE Environmental exam format and content.New question types, such as fill in the blank and point and click, are included. Practice Problems for the Environmental Fundamentals of Engineering Exam: 240 Practice Problems with Solutions John Fox. FE practice exam with free PDF of step by step solutions.FE practice problems for FE civil,mechanical,electrical, or others! X! These sessions are open to everyone who has registered for the FE exam. The NCEES FE Exam Reference Handbook will be provided as a searchable electronic pdf during the test. To ace this exam, all you have to do is download NCEES-PE Dumps File, memorize the Questions and Answers, Practice with our VCE Exam Simulator and you are ready for Real Test. S D! Waited 5 business days and just got an email telling me to check the results and I checked it and it showed "passed". D! D! Version 10.0.1 applies to FE exams that start July 1, 2020. It is recommended that students obtain the FE Reference Handbook to become familiar with it prior to their exam day. You're results will come within 7 to 10 days if not sooner (some report as soon as 4 days). -2i + j - k EMBED Equation.3 (i + 2j) EMBED Equation.3 (-2i + j - k) EMBED Equation.3 (-2i - j - k) If EMBED Equation.3 , then EMBED Equation.3 using implicit differentiation would be EMBED Equation.3 b. EMBED Equation.3 c. EMBED Equation.3 d. EMBED Equation.3 (Questions 8-10) Under certain conditions, the motion of an oscillating spring and mass is described by the differential equation EMBED Equation.3 where x is displacement in meters and t is time in seconds. Which of the following are not an intensive property? EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 The divergence of the vector function EMBED Equation.3 at the point (0, 1, 1) is -4 b. 1. Buy one or download one for free at the NCEES website and use it for everything. Make sure you are very familiar with it BEFORE the exam. D! The National Society of Professional Engineers (NSPE) has developed a document explaining when one can take the PE Exam, by state requirement. Purdue University, 610 Purdue Mall, West Lafayette, IN, 47907, 765-494-4600, © 2020 Purdue University | Seniors are welcome to this manual for loan for a 72hr period to review and study. € ˜ È ò Date: 04/12/10 2 Problems. Printed copies are not available or allowed in the exam room. Ã9 Å9 Å9 Å9 Å9 Å9 Å9 ; ¢ º= È Å9 ¿ Å! While the Purdue Testing Center is a certified Pearson VUE testing center, students can select any certified center. No preregistration required. 3.9 out of 5 stars 11. Gain acceptable work experience (typically a minimum of four years). There are no sessions specifically on environmental engineering, but some topics are applicable. D! ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ÿÿÿÿ ‚> D! location of the inflection points on the curve. The FE is offered in multiple disciplines. -8 km/h c. 0 km/h d. 32 km/h e. 64 km/h What is the train’s acceleration at time t = 4 hours? Information about the NCEES FE Environmental exam. Density 5. 1 b. Date: 04/12/10 7 Problems. All Resources About the FE Exam EIT and EI Certification FAQ Calculators Free FE Practice Problems About Us Testimonials Blog Instructors and Institutions Patent Bar Exam. Date: 04/12/10 8 Problems. FE Reference Handbook 10.0.1 (PDF) FE Chemical Practice Exam (© 2020) (PDF) FE Civil Practice Exam (© 2020) (PDF) FE Environmental Practice Exam (© 2020) (PDF) FE Industrial and Systems Practice Exam (© 2020) (PDF) FE Mechanical Practice Exam (@2020) (PDF) FE Other Disciplines Practice Exam (@2020) (PDF) FS Practice Exam (© 2020) (PDF) EMBED Equation.3 b. EMBED Equation.3 c. EMBED Equation.3 d. EMBED Equation.3 The rectangular coordinates of a point are (-3, -5.2 ), find the polar coordinates for the same point. (FE exam can be taken prior to graduation). Learn more about the importance of professional licensure, as well as the process at http://ncees.org/licensure/. It is also recommended that students own at least one hardcopy of a basic environmental engineering book. 2 c. 3 d. 4 Find the value of the limit: EMBED Equation.3 0 b. ¯9 ð9 0 : 7 R ‚> $ è ‚> S7 ‚> ¿ S7 \ D! If both pigeons start from the same spot but fly at an angle EMBED Equation.3 to each other, about how far apart do they live? Velocity 3. An electronic version will be available onscreen during the actual exam. You will be using this pdf during the actual FE exam. Maintained by the Engineering Computer Network, Contact Office of Marketing and Media for accessibility issues with this page | Integrity Statement | Members. Still waiting for the results. FE Environmental Practice contains nearly 330 problems designed to reinforce your knowledge of the topics presented in the NCEES fundamentals of engineering (FE) environmental exam. 144 c. 192 d. 208 Which of the following is a unit vector perpendicular to the plane determined by the vectors A=2i + 4j and B=i + j - k? -3 b. EMBED Equation.3 c. 0 d. 3 Problems 43 & 44 use the following information: The population of a bacteria colony doubles every 3 days and has a present population of 50000. FE Environmental Engineering Review Manual - The EEE office has this manual available for check out - all 754 pages!. The partial derivative EMBED Equation.3 of EMBED Equation.3 is: EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 If the functional form of a curve is known, differentiation can be used to determine all of the following EXCEPT the concavity of the curve. PREPARATION FOR FUNDAMENTALS OF ENGINEERING EXAM PROFESSOR MIKE RIGSBEE MATERIALS SCIENCE AND ENGINEERING OBJECTIVES 1. number of inflection points on the curve. Circle Ellipse Parabola Hyperbola What are the coordinates of the focus of the conic section? The first derivative EMBED Equation.3 of this function with respect to x is equal to EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 Questions 16-18, relate to the three vectors A, B, and C in Cartesian coordinates; the unit vectors i, j, and k are parallel to the x, y, and z axes, respectively. -16 km/h b. hˆÃ CJ UVaJ !jµ hˆÃ hˆÃ CJ EHúÿUaJ jfH ¨ The FE Environmental exam is the first step in becoming a Professional Environmental Engineer. At t=0, the displacement is .08 m and the velocity is 0 m per second; that is EMBED Equation.3 and EMBED Equation.3 The solution that fits the initial conditions is: EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 The maximum amplitude of the motions is: 0.02 m b. 4.5 days c. 4.8 days d. 7.5 days Problems 45-46 are based on the following equation: EMBED Equation.3 What conic section is described by this equation? Purdue College of Engineering - https://engineering.purdue.edu/Engr/Academics/FE_FS_Exams. Paperback . 1/3 c. ½ d. 2 Find the solution as EMBED Equation.3 , for EMBED Equation.3 y = 0 b. EMBED Equation.3 c. EMBED Equation.3 d. y = 5 It takes a pigeon X, 2 hours to fly straight home averaging 20 km/h. EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 ( - 6 7 8 O S s t ‡ ˆ ‰ Š Ž  ¢ £ ¤ ¥ ª « ¾ ¿ À Á Â Ã Ö × õíõåÝÕÉÕ½Õ®½Õ½ÕŽ}½Õ½Õn]½Õ½ÕN jfH 1/6 b. Consistent with the actual exam, the problems follow the NCEES exam problem format and require an average of two minutes to solve. 12 c. EMBED Equation.3 d. 17 e. 24 A paraboloid 4 units high is formed by rotating EMBED Equation.3 about the y-axis. The FE exam is a computer-based exam administered year-round at NCEES-approved Pearson VUE test centers. The FE Reference Manual is a PDF that is searchable. However, there were problems that were: More intensive Difficult I recommend that you make two passes through the material. Seniors are strongly encouraged to take the FE exam sometime in their final semester before graduation. SEEE and/or EEE SAC may sponsor some environmental-based sessions. Explore the CBT FE and FS exams by watching video demonstrations. Struggling to find resources and stay on track to take the FE Exam? Dr. Louay Mohammad Introduction to Fundamentals of Engineering Examination Review Sessions 5 FE CBT Exam Specifications Greater scheduling flexibility for candidates, year-round. View and download NCEES-FE Civil PRACTICE EXAM.pdf on DocDroid concavity of the curve. Å9 ¿ ¿ i i Û Ú9 ×1 ×1 ×1 Å! The diagram shown below shows two intersecting curves: y = x, and EMBED Equation.3 . Coursera [Free Version] [FE Civil & FE Mech] This Coursera and Georgia Tech course is getting a lot … Chi Epsilon FE Review Session Schedule - https://engineering.purdue.edu/~xe/FEReview.html. It includes charts, formulas, tables, and other reference information needed during the exam. Fundamentals of Engineering Exam Sample Math Questions. (professional engineer). D! Reviewing it before exam day will help you become familiar with the charts, formulas, tables, and other reference information provided. $10 off for Black Friday! r! EMBED Equation.3 b. EMBED Equation.3 c. EMBED Equation.3 d. EMBED Equation.3 Find the x-value of the absolute minimum for the equation EMBED Equation.3 in the interval EMBED Equation.3 . D! See Tammi Thayer in the EEE office to check out the manual. 9 : ’ ª  ý ý ý õ í í í í ä õ Ü Ü Ü Ü ä Ô Ì Ã Ô » » PRESENT SOLUTIONS TO MATERIALS ENGINEERING PRACTICE PROBLEMS TYPICAL OF THOSE ON THE FUNDAMENTALS OF ENGINEERING EXAM 2. REVIEW AND DISCUSS MATERIALS ENGINEERING MATERIALS IN THE FUNDAMENTALS OF ENGINEERING … I guessed 7 problems on the afternoon section and 6 on the morning section. Our NCEES-PE Practice Test and Study Guide PDF contains Real Questions and Answers. &. 4.5 out of 5 stars 744. The key to passing the FE exam is understanding the key concepts and skills that are tested on the exam and becoming familiar with using this handbook to solve eachproblems inapproximately 2 minutes-3. D! Resources. – Exams will be administered 175 days a year – Monday through Friday Test can be taken up to 3 times in a twelve month period and, but only once per testing window Date: 04/12/10 6 Problems. These videos can help students to “visualize” taking the exam and determine a time management strategy. The exam of interest to engineering undergraduates is the FE. Your results will be posted on your NCEES account. See it at www.nspe.org. ×1 f! &F gd0i „8^„8gd0i : Å! The Fundamentals of Engineering, or FE, exam is the first exam required for licensure as a P.E. FE Reference Handbook, version 10.0.1: to purchase. D! ½ c. 1 d. 2 Find the area bounded by EMBED Equation.3 and EMBED Equation.3 . The only free PDF book you can get is "FE Review Manual - Lindeburg 2010", google it. Civil . (An older version is fine.). (1,-1) b. (/2 c. 2( d. 4( The derivative of EMBED Equation.3 is EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 52/9 b. Å! 4( b. location of the inflection points on the curve. In particular, if a topic is still present in the FE Reference Handbook, be ready for it to show up on the FE exam. B, C, D, and F each equal to 0; A negative and E positive. Fundamentals of Engineering Exam Review Series Mathematics Prof. Meredith Metzger Department of Mechanical Engineering University of Utah . 6( c. 8( d. 10( Questions 20-21. Earn a degree from an ABET-accredited engineering program. Purdue Testing Center – https://www.purdue.edu/testingcenter/tests/pearson-vue.php. A = 2i+3j+k B = 4i-2j-2k C = i-k The angle between the vectors A and B is: EMBED Equation.3 b. EMBED Equation.3 c. EMBED Equation.3 d. EMBED Equation.3 e. EMBED Equation.3 The scalar projection of A on C is: EMBED Equation.3 b. EMBED Equation.3 c. EMBED Equation.3 d. EMBED Equation.3 e. EMBED Equation.3 The area of the parallelogram formed by vectors B and C is: EMBED Equation.3 b. Whether you are still in school or have kids in college, I want to help you pass the FE and take the next step in your engineering career. Free Download NCEES-FE Sample PDF If you are looking for NCEES NCEES-FE Exam Dumps and VCE Practice Test with Real Exam Questions, you are at right place.Killexams.com have latest Question Bank from Actual Exams in order to help you memorize and pass your exam at very first attempt. The partial derivative of is: If the functional form of a curve is known, differentiation can be used to determine all of the following EXCEPT the. Date: 04/12/10 3 Problems. EEE students should review the topics of the FE Environmental exam and prepare accordingly. Copyright Complaints | FE Sample Questions by PE Exam Questions. Pressure 2. The National Council of Examiners for Engineering and Surveying (NCEES) is a national nonprofit organization dedicated to advancing professional licensure for engineers and surveyors. Ã9 ×1 ×1 : Ë6 , S7 i ÿÿÿÿ 0Å7™)ÊË Ó k" ¢ ÷6 Redeem this code here: BLACKFRIDAY0. You won't be allowed to bring your personal copy of the Handbook into the exam room. EEE students should review the topics of the FE Environmental exam and prepare accordingly. Å! -1 c. 0 d. 4 A right circular cone cut parallel with the axis of symmetry could reveal a circle b. hyperbola c. ellipse d. parabola If EMBED Equation.3 then EMBED Equation.3 EMBED Equation.3 c. EMBED Equation.3 EMBED Equation.3 d. EMBED Equation.3 Write the compex product EMBED Equation.3 in polar form. Brand Toolkit | There is a general four-step process to become a Professional Engineer (PE): NCEES develops, administers, and scores the examinations used for engineering, Fundamentals of Engineering (FE), and surveying licensure, Fundamentals of Surveying (FS), in the United States. While specific topics may have been removed from listing in the most recent FE Exam Specifications, they may still be topics that are covered in other, broader categories. PPI FE Review Manual: Rapid Preparation for the Fundamentals of Engineering Exam, 3rd Edition (Paperback) – A Comprehensive Preparation Guide for the FE Exam Michael R. Lindeburg. Seniors are strongly encouraged to take the FE exam sometime in their final semester before graduation. 2 Overview • 110 multiple choice questions total • 5 hrs 20 min to answer questions • slightly less than 3 minutes per question . EMBED Equation.3 b. EMBED Equation.3 c. EMBED Equation.3 d. EMBED Equation.3 If D is the differential operator, then the general solution to EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 EMBED Equation.3 A particle traveled in a straight line in such a way that its distance S from a given point on that line after time t was EMBED Equation.3 . Each topic-specific practice test is randomized, so you can take as many practice tests as you wish. With calculations that reference the NCEES FE Reference Handbook, you’re guaranteed to be ready for exam day. It takes pigeon Y, 2 hours and 20 minutes to fly straight home averaging 30 km/h. The Practice Portal feature allows you to test your knowledge on various exam topics. We recommend that you continue to practice on the topics that you struggle with until you get a passing score. The direction from P to Q is positive; P is the position at time t = 0 hours. FE Environmental Practice delivers exam-like practice problems with easy-to-follow solutions that deepen your knowledge of key concepts and build exam confidence. ¦ ¿ i ¿ i Ã9 ×1 Å! This course includes instructor-written refresher notes, FE exam practice problems, and more! number of inflection points on the curve. Kinetic Energy A) I, II & III B) IV & V C) I, II & IV D) III & V Å! This is TBA. | | ¿ ¿ ¿ ¿ ¿ ÿÿÿÿ Ó Ó Ó Ó ” g d Ó : ø Ë ž i i i i D! D! D! The position x in kilometers of a train traveling on a straight track is given as a function of time t in hours by the following equation, EMBED Equation.3 . An equal access/equal opportunity university | NCEES FE Reference Handbook 10.0.1 + $36. The train moves from point P to point Q and back to point P according to the equation above. One such book is Introduction to Environmental Engineering by Davis and Cornwell (McGraw-Hill). Paperback. Directions: Select the best answer. hˆÃ CJ UVaJ !j ht/ ht/ CJ EHèÿUaJ jVeH Contact Us | Consistent with the actual exam, the problems follow the NCEES exam problem format and require an average of two minutes to solve. Date: 04/12/10 9 Problems.

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