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math1b - quiz 2 - solns

math1b - quiz 2 - solns - Math IB Quiz 2 1 Name.0'0...

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Unformatted text preview: Math IB Quiz 2 ' 1 Name: .0 '0 Question 1 _ Write out the partial fraction decomposition of the function. Do net determine the umerical values of the coefficients. 3, ' 4—; 2 5L} / 1 22 r—""L“‘ ' K ’ ? ' (32—1) (x +m+1) I M r4- % CX—l—D +~——-———--l— I‘BTLMLA LMOLQCLL xhl @;'\ 7' ‘ {‘14. x+.f 5mm. l“ if ’3 O 2 1 e ~—l—- : A .3. I W J'tébtq t + 4:44 all-Aw; Li L—-‘ - Question 2. In the following example, decide whether or not there exist constants A, B and C such that / _ 7 t3_—|—'2t.+5=A(t2+2)+B(t—1)3+C. Either find’ A, B and C, or..;show clearly why no such constants can exist. i..._}:tltrr€f_=r A}? +214 + M3 vasvmél - t +¢ 2] E t; + (C443)? + 115+, + 1,4464; émqw‘“) ’19“: Pt 755’: fizl . 6) TURN- PAGE! I! Math 1B Quiz 2 .. ' 2 Question 3 Is the following rational function proper? If not, decompose it into a proper rational {9 function plus a polynomial: ' . ,, , fl“) = (1% _— U4 llal—SE he‘l‘ fares I (kl,])gé_1)l: l kit Huh 4.1.4“; 12“} ~.. 'kl—Ff‘flk “'1’ go L7 6"? ”(bib-:flw ‘ L/ w... - ' (of; as +sz -—L 3'7 '4" ZCSI)‘ ; I it): r \ 0&4me JPN/to “if” u Fgfimwhl Q 0113"» 0‘ _‘ . Question 4 / Complete the square: I ...
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