SampleTest1 - What are the other terms? (NOTE: Do not solve...

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York University Sample Test for Test 1 Mathematics 1014.03 Applied Calculus II Sept. 27, 2010 NAME (print): (Family) (Given) SIGNATURE: STUDENT NUMBER: Instructions: 1. No calculators or other aids allowed. 2. Do all questions. 3. Put answers and rough work on the question paper, using the back pages if necessary. 4. You may write on both sides of the paper. More paper is available on request. If you hand in additional pages, make sure your name and student number are on them. 5. This test has 5 questions. 6. This test is a bit longer than an actual test will be, but the questions and format is typ- ical what you can expect of real test. Question Marks 1 2 3 4 5 Total
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Mathematics 1014 Practise Test Page 1 Sept. 27, 2010 1. Calculate (a).[10] i tan 3 ( x )d x . (b).[10] i 3 x + 4 x 2 + x - 6 d x . continues . . .
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Mathematics 1014 Practise Test Page 2 Sept. 27, 2010 2. [10] The method of partial fractions tells us that the function 2 x 2 + 3 ( x - 4) 3 ( x 2 + 5) 2 (0.1) can be written as a sum of several terms, one of which is A ( x - 4) 3 (0.2)
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Unformatted text preview: What are the other terms? (NOTE: Do not solve for the coeFcients A etc.) continues . . . Mathematics 1014 Practise Test Page 3 Sept. 27, 2010 3. [10] Use a trigonometric substitution to evaluate i dx x 2 √ 1 + x 2 . continues . . . Mathematics 1014 Practise Test Page 4 Sept. 27, 2010 4. [15] The region bounded by the curves y = x 3 and y = 3 √ x is rotated about the line y =-1. Find the volume of the resulting solid. continues . . . Mathematics 1014 Practise Test Page 5 Sept. 27, 2010 5. [15] An aquarium is 3 meters long, 1 meter wide, and 1 meter deep. It is half full of water. I want to pump the water out of the aquarium by pumping it up to the top and out. How much work is needed? Express your answer as an integral, but do not evaluate the integral. (Use the facts that the density of water is 1000 kg/m3, and the acceleration of gravity is 9.8 m/sec2.) The End...
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This note was uploaded on 10/26/2010 for the course MATH 1013 & 101 taught by Professor Dr.m during the Fall '10 term at Maple Springs Baptist Bible College.

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SampleTest1 - What are the other terms? (NOTE: Do not solve...

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