# 04faex3 - Math 113 EXAM III Dec 1 2004 “(1 hour NAME...

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Unformatted text preview: Math 113 EXAM III, Dec. 1, 2004, “(1 hour). NAME: SECTION: Instructor: WHENEVER POSSIBLE, GIVE EXACT VALUES. TO RECEIVE CREDIT FOR AN ANSWER, YOU MUST SHOW WORK JUSTIFYING THAT ANSWER. 24 points for each problem. I. Set 0 = g — cos—1%). Evaluate exactly sinH and 003(9 + II. Evaluate the angles in the triangle shown on the ﬁgure. III. The vectors U =< 4, 5 >, 17 =3 —6, 2 Z and W are shown on the ﬁgure. Evaluate exactly the lengths |U| and |V| of the vectors U and V. Evaluate the dot product (7 - Giveﬁthe exact value of the cosine of the angle 6. Evaluate exactly the length of the vector W. IV. Determine the weight W and the angle 6 in order that“ the ﬁgure shows an equilibrium position. mt. V. On a river ﬂowing south with a current of 6 mi/ h, a boat cruises at a speed of 5 mi/ h. The river is .4 Wide. On the ‘é’ﬁtern bank there is a point A. Directly across it is point A’ on the ﬁestern bank. ~ The boat starting from A has a compass heading of 35° (east of north). Where will the boat land? Upstream or downstream from A? At which distance? If part of the answer is obvious prior to any computation say it and explain it. How much time will crossing the river take? ...
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04faex3 - Math 113 EXAM III Dec 1 2004 “(1 hour NAME...

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