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anonymous
 one year ago
g(x)= integral from 1 to x f(t) dt. for what value of x does g(x) have a maximum?
anonymous
 one year ago
g(x)= integral from 1 to x f(t) dt. for what value of x does g(x) have a maximum?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The graph of f is shown in the figure. g(x)= integral from 1 to x f(t) dt. for what value of x does g(x) have a maximum?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1at what point on the xaxis, do the infinitesimal 'areas' under the curve stop being positive, and start being negative ?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1yeah, all the infinitesimal 'areas' between x=5&7 are negative, whereas the the 'areas' between x=1&5 are positive

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1if we integrated all the way from x=1 to x=7, we would get what is equal to PLUS the area from1to5, MINUS the area from5to7

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1the largest integral we can get is when we are only add positive values

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1. So, (where g(x) is the integral from 1to x) For what value of x does g(x) have a maximum?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so we would only look at the positive values (x=1 to 5) ?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1yeah, the lower limit of integration is given as x = 1, and as you have found the upper limit of integration is x = 5
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