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# ex1_pra_a - MA 174 Multivariable Calculus EXAM I(practice...

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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 2
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 . 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 ?

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ex1_pra_a - MA 174 Multivariable Calculus EXAM I(practice...

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