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

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