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

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

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

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

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

MATTW20 Group TitleBest ResponseYou've already chosen the best response.0
yes I believe that is what the question calls for
 10 months 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 \[\frac{x^4}{4}\frac{5x^2}{2}+10x\]
 10 months ago

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

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

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

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

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

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