# 252w1996_archive - Integral Calculus Mth 252 Archive Winter...

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Integral Calculus – Mth 252Archive – Winter 1996 FilesJuly 9, 1999This document contains eight quizzes and the final exam from Mth 252 Winter 1996.The original testformatting has not been preserved.Contents1Quiz 0 - Review Quiz12Quiz 133Quiz 234Quiz 355Quiz 466Quiz 587Quiz 698Quiz 7109Final Exam101Quiz 0 - Review QuizThe first quiz, Quiz 0, was meant to encourage a review of Mth 251 (Differential Calculus). It was given onthe second day of classes in Mth 252.Problem 1.limx0sin (7/x)7=
Integral CalculusMth 252710None of the above.Letter corresponding to your answer to problem 1.Problem 2.limx0sin (7x)7x=710None of the above.Letter corresponding to your answer to problem 2.Problem 3.The derivative ofsin(x) tan(x)iscos(x) sec2(x)cos(x) tan(x) + tan(x) sec2(x)sin(x) + tan(x) cos(x)None of the above.Letter corresponding to your answer to problem 3.Problem 4.Letfbe the function defined byf(x) =xlog2x2+ 1forx0. Then the derivativef(x)is given by2x2x2+ 1+12log2x2+ 1112x2+ 1+12log 2x2+ 1x2x2+ 1None of the above.Letter corresponding to your answer to problem 4.Bent E. PetersenPage 2Winter 1996
Integral CalculusMth 2522Quiz 1Problem 5.Letfbe a real–valued function continuous on[a, b]and differentiable on(a, b). Supposef(c)<0for eachc(a, b). Iff(a) = 7andf(b) = 4how many roots doesfhave in the interval[a, b]?
Letter corresponding to your answer to problem 5.Problem 6.Letfbe a real–valued function continuous on[a, b]and differentiable on(a, b). Supposef(c)<0for eachc(a, b). Iff(a) = 7andf(b) =4how many roots doesfhave in the interval[a, b]?