113-rosay-07faex03-v1

# 113-rosay-07faex03-v - MATH 113 Fall'07" Exam III November 29th 50 min NAME Section 1 NO CALCULATOR 0 Find an angle 0 such that C050 sin 25 and

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Unformatted text preview: MATH 113. Fall '07", Exam III, November 29th, 50 min. NAME: Section: 1. NO CALCULATOR. 0 Find an angle 0 such that C050 : sin 25 , and —90‘7 S 0 S 0°. II'. If the ﬁgure shows an equilibrium, evaluate the weights W1 and 'W2. The right cable is pulling horizontally. V ‘ III. (N0. CALCULATOR.) Let I? =< -—3 , 4 >_ and 17' '=<- 5 HQ >. ‘ (i) Show these vectors and the vectors + K7 and K7 —— (7 on the ﬁgure. Evaluate I and (the lengths of the vectors). Evaluate (7 e ‘7 (their dot product). Give the eXact value of the cosine of the angle between (7 and 17. (NO CALCULATOR.) ‘ A IV. Lat 2 be the complex number 2 2 2’2 ,, Evaluate gland .22 (in Cartesian, form a +. Show that 23 = 56“ , Give a cube root_of_ - 6 4 , not equal to‘z. v.‘ Give the EXACvaéJue 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-v - MATH 113 Fall'07" Exam III November 29th 50 min NAME Section 1 NO CALCULATOR 0 Find an angle 0 such that C050 sin 25 and

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