quiz4_ans

# quiz4_ans - QUIZ 4 NO CALCULATORS Swjéﬂ C/7 MAP 2302...

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Unformatted text preview: QUIZ 4 (07/31/09) NO CALCULATORS Swjéﬂ C (/7 MAP 2302 Name: ”’7 ”V “ ~ f - Summer B 2009 3rd period ( {J Section 4787 Please use the blank space and the other side of the sheet to write your solutions, numbering them clearly. 1. (2 pts) Find the form of the inverse Laplace transform of the following function (don’t evaluate the coefﬁcients in the partial fraction expansion): 8+1 F(S) : 82(82 + 45 + 8) 2. (2 pts) Find the Laplace transform of f(t) = te’t sin 3t 3. (2pts) If y(t) is the solution of the initial value problem y" + y 2 3t + et, y(0) = 1, y'(0) = 0, then solve the corresponding (algebraic) equation for the Laplace transform Y(s) of y (DO NOT take the inverse of Y). 4.-Bonus (2 pts) Is the following true or false? Justify your answer. , _, {@399} if.“ ' 7?}, @ \$4; 3+! v WW» ”~31 A; +l§fs+2 +ZC S75 > / +0 M ii / Z {If/i4}? A, +A2t +Bi2£m9326 +Cé2 M215 / C23 z;’i.i§mm3ifii ”545““ . , ,ﬂw»w.~wy ”W‘s WWW“ .i , ”Eff-ii? smgfﬂi‘i aﬂfsii i ‘5 1' ,rm ,/ 52. w @ iai/iws we) 2 377 ...
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