How Do You Calculate Fuel Consumption Over Time in a Mathematical Model?

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Homework Help Overview

The discussion revolves around calculating fuel consumption over time using a mathematical model. The original poster presents a function for the rate of fuel consumption, R, defined in terms of time, t. The problem includes tasks such as sketching the function, evaluating it at a specific time, and determining its limiting behavior as time increases.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to clarify the function for fuel consumption and its implications for the limit as time approaches infinity. Questions about the necessary operations to find total fuel consumption over a time interval are also raised.

Discussion Status

Some participants are exploring the function's behavior and questioning its formulation. There is acknowledgment of the limiting value of the function, with discussions on how to approach the calculations without reaching a consensus on the methods to be used.

Contextual Notes

There is uncertainty regarding the correct formulation of the function and its implications for the calculations. Participants express confusion about the operations needed to derive total fuel consumption from the rate function.

steve 99
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Homework Statement



I have this questions an answer to it would be great.
.Q.1 At t minutes after an engine starts, the rate of fuel consumption is Rkg per minute. it is given by R=10+ 10/2t+1.

a) Sketch R as a function of t

b) find the rate of consumption after 7 mins

c) find the limiting value of R as t becomes very large

d) calculate the total consumption in the 1st 7 mins

not sure how to do it
Thank You


Homework Equations





The Attempt at a Solution



I can do part 2
 
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Is that rate supposed to be R = 10+ [10/(2t+1)] ? I think it would be for question (c) to have a sensible answer. The question is asking you what the limit of R is as t goes to infinity.

As for (d), you have a function giving you the *rate* of consumption with time. If you want to know how *much* fuel has been used in the time interval 0 <= t <= 7 minutes, what operation must you perform on the function R(t)?
 
so wat is the function is that R(t)= 10+(10/2t+1)
 
steve 99 said:
so wat is the function is that R(t)= 10+(10/2t+1)

Yes, that is the fuel consumption rate function.
 
so i no the value will not go >10 or equal to 10 but I am not sure how to calculate that
 
i no it wll approach but neva touch 10 if you graphed but as i said not sure on the calculations
 

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