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141Bmid1c

141Bmid1c - 1 Date MATH 141B EXAMINATION 1 Print NAME...

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1 Date: Feb 19, 2008 MATH 141B Print NAME: EXAMINATION 1 STUDENT NUMBER: FORM A There are 16 multiple choice questions each worth 5 points. The remaining 20 points are long answer questions on the last two pages. For each multiple choice answer, circle only one answer in your exam booklet and blacken the corresponding scantron sheet. The use of a calculator, cell phone, or any other electronic device is NOT permitted in this examination. The use of notes of any kind is NOT permitted during this exam. There are 17 problems on 11 numbered pages, including this cover page.

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2 [ 5 ] 1. Compute the integral integraldisplay 1 0 4 xe 2 x dx. A) e 2 - 1, B) e 2 + 1 , C) 2 /e 2 , D) e - 4, E) none listed [ 5 ] 2. Compute the integral integraldisplay e 1 ln x x dx. A) ln 2, B) 1 2 - e , C) 1 2 , D) 2 e , E) none listed
3 [ 5 ] 3. Compute the improper integral integraldisplay 2 2 x - 1 x 2 - x dx and circle the correct answer below. A) converges to 1, B) converges to 2, C) diverges to -∞ , D) diverges to + , E) none listed [ 5 ] 4. Consider the following given information: The point 3 - 2 0 is a solution to the linear system: i) 1 1 - 1 2 3 - 5 - 3 - 5 9 x y z = 1 0 1 The point 1 2 - 3 is a solution to the linear system: ii) 1 2 3 1 3 2 2 5 6 x y z = 1 6 5 Which of these two systems of linear equations actually has infinitely many solutions? [Hint: To answer the question, you do not need to row reduce any matrices, compute any inverses, or solve the systems.] A) i) only, B) ii) only, C) both, D) neither

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141Bmid1c - 1 Date MATH 141B EXAMINATION 1 Print NAME...

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