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Mathematics 15 Online
OpenStudy (kkutie7):

Determine the average rate of fuel consumption for the ninety minute flight.

OpenStudy (kkutie7):

R(t) = .4t − 20 cos(π t / 45) + 40

OpenStudy (thesecret20111):

I assume the variable t = time of flight and R = average rate. Therefore just substitute t =90 and solve. R(t) = .4(90) − 20 cos(π (90)/ 45) + 40 R(t) = 56

OpenStudy (kkutie7):

I thought the same but this is also stated. The rate of fuel consumption, in gallons per minute, recorded during an airplane flight is given by a differentiable function R of time I should've added it.

OpenStudy (thesecret20111):

Does it ask what measurements the final rate of consumption should be in?

OpenStudy (kkutie7):

R is supposed to be the rate..... so what about the average rate?

OpenStudy (thesecret20111):

That's weird because I was thinking that maybe we need to graph this and find the average of the graph but it when graphed it gives a straight line so fuel consumption stay the same.

OpenStudy (kkutie7):

when I graph it I don't have a straight line

OpenStudy (thesecret20111):

Hmm what did you type into graph?

OpenStudy (thesecret20111):

We know for this flight that the time was 90mins so I substituted 't' for 90 in the formula which gives: .4(90) − 20 cos(π (90) / 45) + 40 which is a straight line.. So I'm actually really confused by what they wont you to do here.. Sorry :/

OpenStudy (thesecret20111):

*want

OpenStudy (kkutie7):

well of course it's going to be a straight line because y is going to equal one thing. I'm thinking that it's 90 plugged into the first derivative.

OpenStudy (kkutie7):

I just want some conformation

OpenStudy (thesecret20111):

Ok, I'm obviously not the right person to ask :P

OpenStudy (kkutie7):

that's fine :) you gave me some ideas

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