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 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
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.

This Question is Closed

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

mathcalculus
 one year 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
 one year 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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