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Consider the equation below. (Round the answers to three decimal places. If you

ID: 2827829 • Letter: C

Question

Consider the equation below. (Round the answers to three decimal places. If you need to use -? or ?, enter -INFINITY or INFINITY.)

(a) Find the interval on which f is increasing.

(              ,                 )


Find the interval on which f is decreasing.

(              ,                 )


(b) Find the local maximum value of f.



(c) Find the inflection point.

(              ,                 )


Find the interval on which f is concave up.


(              ,                 )



Find the interval on which f is concave down.

(              ,                 )

Explanation / Answer

a)

(0 , 1/2)

(1/2 , infnty)


b) (e^-1/2)/sqrt2


c)

((1+sqrt2)/2 , f((1+sqrt2)/2))

((1+sqrt2)/2 , infty)

(0 , (1+sqrt2)/2)