- #1

Bikkehaug

- 6

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## Homework Statement

Plutonium is a radioactive waste.. etc. A mass og 1.000 kg will after x years be reduced to:

m(x) = 1.000 * e

^{-2.89*10-5x}

The yearly Waste of plutonium is 1kg. The total plutonium mass after N years is given by:

∫m(x)dx where the upper value of the integral is N, and the lower value is 0 (not sure how to Write this directly into the formula)

Compute the integral, and estimate the total waste of plutonium after a long time.

## Homework Equations

## The Attempt at a Solution

Solving the integral: ∫1.000 * e

^{-2.89*10-5x}dx

= [[itex]\frac{1}{-2.89*10^-5}[/itex] * e

^{-2.89*10-5x}] Again, the higher value is N, the lower value is 0.

If I plot a graph of this Equation, I get a linear graph With the mass after, say 5000 years is 5000kg. After 3 years the mass is 3kg.

Does anyone have any idea about how I can proceed from this?