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mathcalculus
 2 years 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.
mathcalculus
 2 years 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.

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wio
 2 years ago
Best ResponseYou've already chosen the best response.0Do you know the derivative?

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0yes i did everything. x= 2/15 and x= 8

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0those are the critical points.

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0left 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

wio
 2 years ago
Best ResponseYou've already chosen the best response.0Okay you don't consider \(f(8)\) for the \([0,4]\) interval..

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

wio
 2 years ago
Best ResponseYou've already chosen the best response.0And the minimum is going to be \(f(4)\)

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

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0so the min has to be: 589

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

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0okay. then what's the minimum

wio
 2 years ago
Best ResponseYou've already chosen the best response.0Now you just need to check 9 and 9 for the other interval.

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0since i can't use f(8)

wio
 2 years ago
Best ResponseYou've already chosen the best response.0For the \([0,4]\) interval, the minimum is 589 right?

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

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

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0for f(9)= 8727 and for f(9) = 1149.

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0Is 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

wio
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah... the minimum is the LOWEST value the maximum is the HIGHEST value.

wio
 2 years ago
Best ResponseYou've already chosen the best response.0You only have to consider the values at critical points and endpoints.

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0i submitted this as my answer but it says its wrong. :(

wio
 2 years ago
Best ResponseYou've already chosen the best response.0You must be doing it wrong then... somehow.

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0i know that's why im asking you if the answer i had up there are correct.

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0can 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...
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