MATH 230 Final: Math 230 SP17Final Exam
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Instructions: please, write your solutions clearly and completely. Answers without work will be given no credit. Spring 2017: (6 points) find the tangent plane at the point (1, 1, 1) to the surface given by x2 y z2 = ln z 1. Spring 2017: (12 points) find the point on the plane 2x + 3y + 6z = 8 closest to (5, 6, 13). Spring 2017: (12 points) consider the curve c given by the part of the parabola x = y2 from (0, 0) to (4, 2). If it is conservative, nd a potential function. (b) evaluate the line integral. Math 230 - final: (15 points) evaluate. Math 230 - final: (12 points) evaluate where s is the part of the plane x + y + z = 2 in the rst octant. Spring 2017: (15 points) let f(x, y, z) = hx3 + z2, x3 + ey, z2 tan zi.
