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# 28_new - DiscGQ05 gilbert(55035 This print-out should have...

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DiscGQ05 gilbert (55035) 1 This print-out should have 4 questions. Explanation: Multiple-choice questions may continue on After completion of squares the next column or page find all choices x 2 + y 2 + z 2 6x + 2y 8z + 17 = 0 before answering. 001 10.0 points Which one of the points P ( 1, 1, 3), Q(3, 6, 6), R( 2, 8, 4) in 3-space is closest to the xy-plane? 1. P ( 1, 1, 3) correct 2. R( 2, 8, 4) 3. Q(3, 6, 6) Explanation: The distance of a point (a, b, c) in 3- space from the xy-plane is given by |c|. Conse-quently, of the three points P ( 1, 1, 3), Q(3, 6, 6), R( 2, 8, 4) the one closest to the xy-plane is P ( 1, 1, 3) . keywords: plane, distance in 3-space, 002 10.0 points Find the center of the sphere given by x 2 + y 2 + z 2 6x + 2y 8z + 17 = 0 . 1. center = (6, 2, 4) 2. center = (3, 1, 4) correct 3. center = ( 3, 1, 4) 4. center = (6, 2, 8) 5. center = ( 3, 1, 4) 6. center = (3, 1, 8) becomes (x 3) 2 +(y+1) 2 +(z 4) 2 +17 9 1 16 = 0 , which can then be written as (x 3) 2 + (y + 1) 2 + (z 4) 2 = 9 .

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28_new - DiscGQ05 gilbert(55035 This print-out should have...

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