MA 227 Final: 3-12f-Final exam
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There are 10 questions, each worth 11 points; 100 (or more) points is equiv- alent to 100% for the exam. Show all working; your solution must include enough detail to justify any conclusions you reach in answering the question: (a) find the equation of the plane containing the points (1, 1, 2), (1, 1, 1) and. Find the unit tangent vector at the point on the curve (b) let r(t) = (t3, 1, et2 ( 1, 0, 1). corresponding to t = 1. 3: (a) let z = y2 x3y. Find the equation of the tangent plane at the point (1, 2). (b) find equation of the tangent plane to the surface x2 + 2y xz2 = 4 at the point (1, 2, 1). Fall 2012 ma 227 final exam saturday, december 08, 2012: find the local maximum, minimum and saddle points (if any) of the function f (x, y) = x2 4xy + y2 2y + 2.
