MAC 2313 Midterm: MAC2313 F99 Test 4
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Name: answer the following, for the vectors: (a) (10 pts. ) Find the vector component of u in the direction of v. u = h2, 2, 3i, v = h3, 2, 1i, w = h 1, 0, 1i (b) (15 pts. ) If u, v and w all have their initial points at the origin, nd the general equation of the plane passing through their terminal points: (20 pts. ) 2 (c) find the net distance traveled by the object: (20 pts. ) Apply the second derivative test to classify each critical point as a relative minimum, relative maximum, or saddle point. f (x, y) = x3 2xy + y2 4y + 3x. Evaluate ic (1, 1, 2), and f(x, y, z) = h2y, z, 9xi. F t ds where c is the line segment connecting the point ( 2, 0, 1) to the point.
