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Consider the function f(x)=−8x−(2888/x) on the interval [11,20]. Find the absolute extrema for the function on...

Consider the function f(x)=−8x−(2888/x) on the interval [11,20]. Find the absolute extrema for the function on the given interval. Express your answer as an ordered pair (x,f(x)). (Round your answers to 3 decimal places.)

Math   Calculus   
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Answer #1

we have

the behaviour of f'(x),

x=11 11<x<19 x=19 19<x<20 x=20
sign NA + 0 - NA
behaviour minimum increasing maximum decreasing minimum

the absolute maximum at x = 19,

the absolute maximum (x, f(x)) = (19, -304) ..........................i)

the minimum at x = 11,

the minimum at x = 20,

the absolute minimum (x, f(x)) = (11, -350.545) ..........................ii)

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