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3 votes
2 answers
295 views

Can we clarify this "accumulated money flow" application of integration?

I read about this model/application in Calculus with Applications, 11th Edition by Lial, Greenwell, and Ritchey (example), where if you have a function $f(t)$ that models some revenue stream, the rate ...
Mike Pierce's user avatar
1 vote
1 answer
104 views

Is it important to keep one's goal in mind when learning calculus?

I am learning calculus primarily as a prerequisite to understanding machine learning and other statistics/finance applications (Black Scholes, etc.), but I've found that most of the web content ...
user10478's user avatar
  • 1,922
1 vote
1 answer
259 views

What is the difference among three kinds of continuous income stream?

In the chapter of our book , we discuss Total value of continuous income stream:$\int_a^bR(t)dt$ Future value of continuous income stream:$\int_a^bR(t)e^{r(b-t)}dt$ Present value of continuous ...
Max's user avatar
  • 63
0 votes
2 answers
963 views

"Present value and accumulated value of money flow" problem

Find the present value and accumulated value after 10 years for an income stream with the rate of money flow $f(t) = 200 + 150t$ dollars per year and the rate of interest 12% compounded continuously. ...
arcbloom's user avatar
  • 2,062