APPM 2350 Midterm: appm2350spring2018exam1
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Instructions: electronic devices are not permitted during the exam. On the front of your bluebook, write your name, your instructor"s name, your lecture number, and a grading table for ve problems. Start each problem on a new right-hand page. Justify your work clearly and box your nal answer. The rst plane, p1, intersects the principle axes at the locations (1, 0, 0), (0, 1, 0), and (0, 0, 2). Otherwise, clearly state that there is insu cient information to perform the calculation. Be sure to explain your reasoning for each calculation! (a) the unit tangent t. (b) the unit normal n. (c) the curvature . (d) the torsion . (e) now, assume the time is t = 2t . Again, be sure to explain your reasoning here. Projections, distances from point s to line containing point p , and s to plane with normal n projab = (cid:18) a b. A a(cid:19) a d = | p s v|
