H3(Feb 26)

# H3(Feb 26) - (e<UQ~ Ob C~~t 6.J)c-3 ~'Yt ~ u,J cst ~~Q...

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CALCULUS FOR THE SOCIAL AND MANAGEMENT SCIENCES Math 52-10 Spring 2008 HOMEWORKIII - DUEFeb26, at the beginningof class 1. The followingis the graphof a function y = f(x), useit to determine: (a) The sign-chart of the function y = f(x) (b) The sign-chartof the derivative y' = f'(x) (c) The sign-chart of the second derivative y" = f" (x) Clearly mark the VAs and x-intercepts on your sign charts; do not offer any explanation. I t~ I I I -~ I - I""" d( '\ -~ ,./ (6,-) (8,-') '-. . (,+)- ') . y has a singleverticalasymptoteat x = 2 and the following sign-chart: - I + I + -3 2 . y has stationary points at (-1,2) and (4,2). . The sign-chart of y' is: + I + I - I + -1 2 4 Draw a large, careful diagram. continued. ..

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H~~~~ .;;;: G ~: ( ~ ~ " (c) ~ : @ -+---+-- l ( \ i , I , - b - ~ -~ - Y,2 l ~ , ~/ \JA5 ~ ~ e,J. .L ~ ~ ~ ~-l"'~~ (t~ G-lL ~ ~V\. .-c. ..~) +,-,;-, - '-I + ',- - It- - :L - y~ \ *- f"( +,-,-,+, - \+ -, -~ l b tt ~ (4 )o? ') dGl I I I I dt.

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CD ~ =. ~-~ (?Jt. .+ lJ"- I ) ~' = -(x.-*) (at.+ dJ .) Lj ~ Q,.,. H A aJ:. ~ :::: 0 j Q. 'VA oJ:: ~ =. -1. (.1> ') ~ ~ ~ D<- ~ C:. Ch. .J::. dt. =- cfl.j l?J. . 'i - ~t:. 8, l=. ~:::. - Jl. . (c.) ~ \,uu IA.b ~~. (Gl ) ~ ". - - + ---+--+-=- -1 :L " A C\C. . - l"'-k.
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H3(Feb 26) - (e<UQ~ Ob C~~t 6.J)c-3 ~'Yt ~ u,J cst ~~Q...

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