MATH 211 Final: MATH 211 Amherst F16M211 2803 29FinalSosa

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Partial credit will be given only if su cient progress towards an answer is shown. Find the projection of the vector v = h 1, 6, 4i onto the vector w = 3 i 4 k . Consider the plane p, (x + 2y z 1 = 0), and the line, l1, (cid:18) x 3. = 1 y = z + 2. Find the vector equation of the line l2, if we know that l2 is a line on the plane p, perpendicular to the line l1 and containing the point where p and l1 intersect. Fall 2016: consider a particle moving in the space. Fall 2016 (c) (10 points) determine the curvature, (t), of the particle"s trajectory at time t. Fall 2016: (15 points) consider the function x3 x2 + y2. Fall 2016: (10 points) consider f (x, y, z) = x cos z y2 approximated value of (4. 2, 1. 9, 0. 05).