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HELP Determine the extrema of below on the given interval
f(x)=5x^361x^2+16x+3
(a) on [0,4]
The minimum is ?? and the maximum is ??
(b) on [9,9]
The minimum is ?? and the maximum is ??
please solve so i can know which answer i got wrong.
 one year ago
 one year ago
HELP Determine the extrema of below on the given interval f(x)=5x^361x^2+16x+3 (a) on [0,4] The minimum is ?? and the maximum is ?? (b) on [9,9] The minimum is ?? and the maximum is ?? please solve so i can know which answer i got wrong.
 one year ago
 one year ago

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wioBest ResponseYou've already chosen the best response.0
Do you know the derivative?
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
yes i did everything. x= 2/15 and x= 8
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
those are the critical points.
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
left end point: f(0)= 3 critical points: x= 2/15 f(2/15)= 4.06074 x=8 f(8)= 1213 Right Point: f(4)= 589
 one year ago

wioBest ResponseYou've already chosen the best response.0
Okay you don't consider \(f(8)\) for the \([0,4]\) interval..
 one year ago

wioBest ResponseYou've already chosen the best response.0
It's apparent that \(f(2/15)\) is the maximum.
 one year ago

wioBest ResponseYou've already chosen the best response.0
And the minimum is going to be \(f(4)\)
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
just 2/15? or do we write that the max as: 4.06074
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
so the min has to be: 589
 one year ago

wioBest ResponseYou've already chosen the best response.0
I said \(f(2/15)\) which is equal to \(4.06074\)
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
okay. then what's the minimum
 one year ago

wioBest ResponseYou've already chosen the best response.0
Now you just need to check 9 and 9 for the other interval.
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
since i can't use f(8)
 one year ago

wioBest ResponseYou've already chosen the best response.0
For the \([0,4]\) interval, the minimum is 589 right?
 one year ago

wioBest ResponseYou've already chosen the best response.0
For the \([9,9]\) interval... you can consider \(f(8)\), but you also need to consider \(f(9)\) and \(f(9)\)
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
after i do all the work, the problem is i don't know how to pick the min and max.
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
for f(9)= 8727 and for f(9) = 1149.
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
Is this correct ?? (a) on [0,4] The minimum is 589 and the maximum is 4.06074 (b) on [9,9] The minimum is 8727 and the maximum is 1149
 one year ago

wioBest ResponseYou've already chosen the best response.0
Yeah... the minimum is the LOWEST value the maximum is the HIGHEST value.
 one year ago

wioBest ResponseYou've already chosen the best response.0
You only have to consider the values at critical points and endpoints.
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
i submitted this as my answer but it says its wrong. :(
 one year ago

wioBest ResponseYou've already chosen the best response.0
You must be doing it wrong then... somehow.
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
i know that's why im asking you if the answer i had up there are correct.
 one year ago

mathcalculusBest ResponseYou've already chosen the best response.0
can you get back to me with answer so i can see if its correct. i dont want to go step by step if its wrong in the end. i tried this problem several times...
 one year ago
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