Posted by **Liz** on Monday, December 4, 2006 at 11:10pm.

It is estimated that x years from now, the value V(x) of an acre of farmland will be increasing at the rate of:

V'(x)= 0.4x^3/sqrroot(0.2x^4+8000

dollars per year. The land is currently worth $500 per acre.

A. Find V(x)

b. How much will the land be worth in 10 years?

You want the integral of

V'(x) = 0.4 x^3/(sqrt 0.2 x^4 +8000)

such that V(0) = 500

The integral is a difficult one and is not in my integal tables. I would use numerical integration. Sorry I cannot be of more help

## Answer This Question

## Related Questions

- calculus - It is estimated that t years from now, the value of a small piece of ...
- calculus - It is estimated that an annual advertising revenue received by a ...
- Brief Calculus - Last one for today... As the financial consultant to a classic ...
- calculus - Rice production requires both labor and capital investments in ...
- engr. econ. - i have a cash flow chart here. From O to 5 years, there are five ...
- Calculus - The Estradas are planning to buy a house 5 years from now. Housing ...
- Calculus - It is estimated that the demand for a manufacturer's product is ...
- Math - Three year ago, Tom brought $750 worth if stock in a software company. ...
- science - Three year ago, Tom brought $750 worth if stock in a software company...
- finance - The Blinkelman Corporation has just announced that it plans to ...

More Related Questions