261FE-S08

261FE-S08 - MA 261 FINAL EXAM Form A Spring 2008 1. Find an...

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Unformatted text preview: MA 261 FINAL EXAM Form A Spring 2008 1. Find an equation of the plane that contains the point (2 , 1 , 1) and the line x = 1 + 3 t, y = 2 + t, z = 4 + t. A. 3 x + y + z = 8 B. 2 x + y + z = 6 C. x + 2 y + 4 z = 8 D. x- 5 y + 2 z =- 1 E. x- 2 y + z = 1 2. Compute the angle ω between i- j +2 k and- i- j +2 k . Then ω = A. cos- 1 parenleftbigg 2 3 parenrightbigg B. π 3 C. π 4 D. 2 π 3 E. π 6 1 MA 261 FINAL EXAM Form A Spring 2008 3. The plane through the point (1 , 2 , 3) parallel to the lines x = 1 + 2 t, y = π + t, z = 11 , and x = √ 2 + 4 t, y = 1 / 5 + t, z = 1 / 7- t is given by the equation A. √ 2 x- y + 2 z = 4- √ 2 B. 2 x- y + z = 3 C. x- y =- 1 D. x- 2 y + 2 z = 3 E. 11 x + y- 3 z = 4 4. Determine the value of the parameter a so that the line x = 4 + 5 t, y = 2 + t, z = 7 + at and the plane x- 2 y- z = 3 do not intersect. A. 1 B. 3 C. 2 D.- 1 E. 4 2 MA 261 FINAL EXAM Form A Spring 2008 5. The surface 2 x 2- y 2 + z 2 = 1 looks most like 6. The linear approximation of f ( x, y ) = x √ y at (1 , 4) is A. 2 + 2 x- y/ 4 B. 2 + 2 x + y/ 4 C. 2- 2 x + y/ 4 D. 2 x + y/ 4- 1 E. 2 x- y/ 4- 1 3 MA 261...
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This note was uploaded on 10/16/2009 for the course MA 261 taught by Professor Stefanov during the Spring '08 term at Purdue.

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261FE-S08 - MA 261 FINAL EXAM Form A Spring 2008 1. Find an...

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