Calc help

[CoreyyV]

I'm having trouble solving the question that I have attached below.

The question is: If f'(x) = 9t^2+e^t and f(0)=4. Compute f(3)

I've showed the work that I've attempted to do so far and I know I must be doing it wrong because the answer that I'm coming up with is incorrect. Can anyone explain to me what I'm doing wrong/what I'm missing

 

[pka]

I'm having trouble solving the question that I have attached below.
The question is: If f'(x) = 9t^2+e^t and f(0)=4. Compute f(3)
I've showed the work that I've attempted to do so far and I know I must be doing it wrong because the answer that I'm coming up with is incorrect. Can anyone explain to me what I'm doing wrong/what I'm missing

Well I would expect students to report the answer as \(84+e^3\)
That is precise by avoiding rounding errors.

 

[CoreyyV]

Well I would expect students to report the answer as \(84+e^3\)
That is precise by avoiding rounding errors.

Okay, that makes sense.

Then are you saying that I went about solving the question the correct way?

Thank you,

 

[pka]

Okay, that makes sense.
Then are you saying that I went about solving the question the correct way?

Your works is right.
But in using an approximation for \(e^3\) there are rounding errors. SEE HERE

 

[CoreyyV]

Your works is right.
But in using an approximation for \(e^3\) there are rounding errors. SEE HERE

Okay thank you!

 

[Steven G]

e^3 is irrational so how did you compute your answer?

 

[CoreyyV]

e^3 is irrational so how did you compute your answer?

Sorry, never saw your reply. But I computed the answer by using a calculator.