113-rosay-07faex03-v2

# 113-rosay-07faex03-v2 - MATH 113.. Fall 07', Exam III,...

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Unformatted text preview: MATH 113.. Fall 07', Exam III, November 29th, 50 min. NAME: Section: IrNO CALCULATOR. ‘ ‘ Find an angle 0 such that 1 + tan2 6 = 40032. 0 and 0 '3 0°. (\Iou an y‘a‘r agkey‘s \‘6 efvxdk A“ Aogah‘.o‘v\5\ ’ II. If the ﬁgure shows an equilibrium, evaluate the angle a and the weighf. W. T32” Rag/U” CaEQe, {o P WQQV nag ﬁn“ zonY‘AU-Y .' -——._~.______________ III. (NOCALCULATORJ Let (7' =< 2 , Z > and? =< 2 ,«43 >. ' (i) Show these vectors and the vectors + V-and V — [7 on the ﬁgure. (ii) Evaluate | and (the lengths of the vectors). (iii) Evaluate (7 - 17 (their dot product). Give the eXact value of the cosine of the angle} between (7‘ and 17'. (N0 CALCULATOR.) ' . A , IV. Letvvz be the Complex number 2 = H- 2 ’ Evaluate :- and 22 (in Cartesian form a +. Show that 23 ; ~_—- “ -' 2; Give a cube root of ._ H a 9.. i , not equal toe. I ' > V. Give the EXACT value of'the length L (NO CALCULATOR). ...
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## This note was uploaded on 08/08/2008 for the course MATH 113 taught by Professor Rosay during the Spring '07 term at Wisconsin.

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113-rosay-07faex03-v2 - MATH 113.. Fall 07', Exam III,...

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