ex1_pra_a - MA 174: Multivariable Calculus EXAM I...

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MA 174: Multivariable Calculus EXAM I (practice) NAME INSTRUCTOR NO CALCULATORS, BOOKS, OR PAPERS ARE ALLOWED. Use the back of the test pages for scrap paper. Points awarded 1. (5 pts) 9. (5 pts) 2. (5 pts) 9. (5 pts) 3. (5 pts) 9. (5 pts) 4. (5 pts) 9. (5 pts) 5. (5 pts) 9. (5 pts) 6. (5 pts) 9. (5 pts) Total Points: 1
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1. Find the normal vector to the plane 3 x + 2 y + 6 z = 6 A. (0, 0, 1) B. (-3, -2, -6) C. (1, 1, 1) D. (0, 0, 1) E. (1/3, 1/2, 1/6) 2. Find distance from point (1 , 1 , 3) to the plane 3 x + 2 y + 6 z = 6 A. 17/7 B. 3 C. 12/5 D. 0 E. 11/7 3. The surface defined by y 2 - x 2 = z is a A. hyperbolic paraboloid B. elliptical cone C. elliptical paraboloid D. ellipsoid E. hyperboloid 2
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4. Find the speed of the particle with position function ~ r ( t ) = e 3 t i + e - 3 t j + te 3 t k when t = 0 . A. i + 2 j + k B. 1 C. 2 D. 17 E. 19 5. The plane S passes through the point P (1 , 2 , 3) and contains the line x = 3 t , y = 1 + t , and z = 2 - t . Which of the following vectors is normal to S ? A. i
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This note was uploaded on 04/23/2011 for the course MA 173 taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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ex1_pra_a - MA 174: Multivariable Calculus EXAM I...

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