Test 1 Solutions

Test 1 Solutions - APMA2120 )1'8112009 APMA2120 - Test 1...

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APMA2120 )1'8112009 APMA2120 - Test 1 Section: Name S rJu."'t"~IS1'\A Directions: This test is four pages long, not including the cover sheet. There are 12 problems. Space associated with each problem should be adequate for your computations - ifnot, use the back ofa page, clearly indicating the page number. Show your work on all problems to obtain full credit. No Notes No Books No Calculators Good Luck!! Write and sign the pledge: Paee Weieht Score ! 2 24 I 3 26 4 30 5 20 TOTAL 100 Friday, September 18,2009 1
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I APMA2120 :Fa1l2009 1. (10 pts) For the complex numbers z = 1 + i and w = 1- i (a) Write z and w in polar form Xm. . r:-:-; (l - I J 1L. ILl ::. " 1+ I ;;:: {i.) U I '= -tA. .~ T:::" L/ /).,,2. -:. j ,.... , ~ fi ) 0- 2.- =- ..£;.",' =:.L = T!L I 4- • a 0 ~ ~ J2. ( C617fr + ~ ~ fi) ~ tAl;: /2 ( C&J '1f + ~ ~ 1f ) (b) Evaluate wi z 7 and express it in the form a + bi . i'~({l ) 7 ( tr.> 1f -f' L, ~ '1f ) ~ ~~~ [~( 7Jl-'1Jl)+&/.W\(Tff-1Jl)] o (fi) if 1/ ,. tl .. == +(
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Test 1 Solutions - APMA2120 )1'8112009 APMA2120 - Test 1...

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