MATH 221 Midterm: MATH 221 Drexel Sample Exam2 Solutions
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Quiz # 7 math 2163, calculus iii oct. 12, 2007. Show all your work neatly and concisely, and indicate your nal answer clearly: calculate the double integral. R = [0, ln 2] [0, ln 5]. Zzr e2x y da = zzr e2xe y da = (cid:18)z ln 2. 0 ) = (e2 ln 2/2 1/2)( e ln5 ( 1)) = (2 1/2)( 1/5 + 1) = 6/5. Z ln 5 y=0 ) dx = z ln 2 ( e2x y|y=ln 5. =(e2 ln 2/2 e2 ln 2 ln 5/2) (e0/2 e ln 5/2) =(2 2/5) (1/2 1/10) = 6/5. 2 e2x y)|x=ln 2 x=0 dy (e2 ln 2 y/2 e y/2) dy. =( e2 ln 2 ln 5/2 + e ln 5/2 ( e2 ln 2/2 + e0/2)
