(adsbygoogle = window.adsbygoogle || []).push({}); "Calculus" (Larson, et al) 9th ed: p. 169 #29: No match to answer key.

1. The problem statement, all variables and given/known data

Locate the abs extrema on the interval of the function:

y=t-|t-3| for interval [-1,5]

2. Relevant equations

|x|=[tex]\sqrt{x^{2}}[/tex]

3. The attempt at a solution

I thought this would essentially be a subtraction rule and chain rule...

y'=1-((1/(2|t-3|))*2(t-3)*1)

y'=1-((t-3)/(|t-3|))

y'=(|t-3|-t+3)/|t-3|

Critical # at y=3

t(-1)=-5

t(3)=3

t(5)=3

abs maxima at (5,3) and (3,3)

abs minimum at (-1,-5)

Unfortunately, the answer key lists abs max (3,3) and abs min (-1,-1). I don't even get the (-1,-1) since t(-1) is -5...

If anyone has any guidance, please feel free to let it flow!

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# Homework Help: Calculus (Larson, et al) 9th ed: p. 169 #29: No match to answer key.

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