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

[steve 99]

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

 

[dynamicsolo]

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)?

 

[steve 99]

so wat is the function is that R(t)= 10+(10/2t+1)

 

[dynamicsolo]

so wat is the function is that R(t)= 10+(10/2t+1)

Yes, that is the fuel consumption rate function.

 

[steve 99]

so i no the value will not go >10 or equal to 10 but I am not sure how to calculate that

 

[steve 99]

i no it wll approach but neva touch 10 if you graphed but as i said not sure on the calculations