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MATTW20
Group Title
draw a graph of the function and indicate the average value
\[f(x)=x ^{3}5x ^{2}+10; \left[ 0,4 \right]\]
 one year ago
 one year ago
MATTW20 Group Title
draw a graph of the function and indicate the average value \[f(x)=x ^{3}5x ^{2}+10; \left[ 0,4 \right]\]
 one year ago
 one year ago

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satellite73 Group TitleBest ResponseYou've already chosen the best response.1
average value is \[\frac{f(4)f(0)}{40}\]
 one year ago

MATTW20 Group TitleBest ResponseYou've already chosen the best response.0
don't I use the antiderivative of the function?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
oh i see you want \[\frac{1}{4}\int_0^4(x^35x+10)dx\]
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
aka "mean value" right
 one year ago

MATTW20 Group TitleBest ResponseYou've already chosen the best response.0
yes I believe that is what the question calls for
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
ok the "anti derivative" is not too bad because this is a polynomial it is \[\frac{x^4}{4}\frac{5x^2}{2}+10x\]
 one year ago

MATTW20 Group TitleBest ResponseYou've already chosen the best response.0
(5x^3)/3 right
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
plug in 4 ignore 0 because that just gives you 0 then divide by 4
 one year ago

MATTW20 Group TitleBest ResponseYou've already chosen the best response.0
right i did all that. i got approx. .75. does that seem correct?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
it is \(5x\) or \(5x^2\) ?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
oooh ok
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
then no it is \(\frac{2}{3}\)
 one year ago

MATTW20 Group TitleBest ResponseYou've already chosen the best response.0
ok i get that. But how would they go on the graph. Could you give me a crude drawing?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
here is a nice drawing http://www.wolframalpha.com/input/?i=x^35x^2%2B10+domain+0..4
 one year ago

MATTW20 Group TitleBest ResponseYou've already chosen the best response.0
and the average value represented on the graph would just be a straight line at 2/3?
 one year ago

satellite73 Group TitleBest ResponseYou've already chosen the best response.1
that i do not know sorry
 one year ago

MATTW20 Group TitleBest ResponseYou've already chosen the best response.0
ok thank you
 one year ago
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