234-caldararu-08spex01

234-caldararu-08spex01 - C Q\ (lawn EXAM 1, MATH 234:...

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Unformatted text preview: C Q\ (lawn EXAM 1, MATH 234: CALCULUS — FUNCTIONS OF SEVERAL VARIABLES FEBRUARY 26, 2008 No calculators, books or papers may be used. This examination consists of four questions. Each problem is worth twenty-five points. Partial credits Will be given only when a substantial part of a problem has been worked out. Merely displaying some formulas is not sufficient ground for receiving partial credits. y PLEASE BOX YOUR ANSWERS. o YOUR NAME, PRINTED: 0 YOUR LECTURE SECTION (CIRCLE ONE): ADDINGTON AMORIM TU ZHU l1l2lil4lT°m Name: 1 1. Find a unit vector that is perpendicular to the plane determined by the three points (2, 1,—3), (0,2,4), (1,5, —1). Name: 2. Find the vectors T, N, g at the indicated point on the curve 1 x=§t3, y=2t2, zzt, attzl. Name: 3. Does the following limit exist? If it does, compute the limit. 93—1 lim 6 cos . (m,y)—+(0,0) CC y Name: 4 4, Find a parametric description of the tangent line to the curve of intersection of the surface 2 = V65 — 163:2 ~ 9y2 and the plane a: = 2, at the point (27 07 ...
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234-caldararu-08spex01 - C Q\ (lawn EXAM 1, MATH 234:...

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