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03faex3 - Math 113 EXAM III(1 hour YOU MUST SHOW WORK...

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Unformatted text preview: Math 113 EXAM III, November 24, 2003, (1 hour). YOU MUST SHOW WORK JUSTIFYING THAT ANSWER. I. (40 points) Evaluate the angles and the length of the third side in the triangle shown on the ﬁgure. II. (mpoints) . A plane is ﬂying with a heading of 20° (i.e. 20° east of north). The speed, relative to the air, is 600 mi/ h. The wind is blowing from the north. The actual direction in which the plane is going is 22" east of north. Evaluate the speed of the wind and the ground speed of the plane. wak "7 . n ?QM /%W“A III. (35 points) Determine the mass W and the angle 9 so that the following is an equilibrium. T‘Q‘t 3 gout/o E: , F; , E3 \‘mrm 080‘6‘05 (4%». 053': MWcMcJM R*EL"F):O. _ We. almypox Lt» (new \N~ ’QAO'WbW M} Ward WVcMOK‘S. OWer DMI'M- %¢W¢V~{C bMt‘ M mvamgﬂ. Pg: (..W(_o§9 FL: (VL Coral-10" T’ ,( o ‘ fix-Elﬁwm wot».- _wWe+\1Cv=“°°'-'° xw \$019 2 :. \L 06440 w (.0; 9 )c 9- WM .24? Dcvca‘ v3. (n33. V" W M .— 17-05409 ‘— 2. 0° meanei- W= 'mco‘fé 1“— “:1“ -3- Do one of the two problems IV or IV’, the one that you prefer. You cannot get credit for both. (35 points) IV. Find all the solutions to the equation 400326 — 1 = O in the interval [~7r , 2%]. IV’ . Evaluate: 1 _1 1 Z) + cos (—1)). Complete justiﬁcation must be given. Comments? sin (cos‘1( Answer for IV OR IV’: —\7 CeoX:+._‘_. Wekaumlg=li wA mgnﬂz-l ___._ ‘ 2. Nahum cow-*7. -1; "2m," [”16th CeaX-z-‘lz i-‘.5}J-1W)-5W,LJ—_EP+ZTF)-u H’J‘g: ;%r+7alr)-—- Amwmwmdxrm -W9.1r. 3-335". LW—éﬁ‘gf ......___, %L[ I 1 . 3’ 3”; j a) 3) 3 E’; 1‘9 9-; «mm chT-Glz-casez-VZ le’buwm O 5 95W, 5° OélT-Qﬁ O ,‘iwﬁw. C60“ “1‘“: 11—9 Dtlu [Cw-W liq} MiG/3" AAA]: Av?» ll- : O [comwwA/‘: 0mg.“ ”law I,“ 93““) PEAeoVMaMHeoeuWGMt My 9 = can“ [‘th @44ch Avis e9 wwg mulled-Coatez-l—{z or} A»: e )0 Avalon 056 511“ bodMﬂaWc4€UL Au; V [\mUeV: Coo‘ll’llct) u we at. (9+v\=mecav+abeuw 0»; M0. ~44- ...
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