Question

Question #a8bac

Answer 1

See below.

Explanation:

You can not solve this for a unique value of A.

Example:

`2=Ae^(kt)`

Here you have `3` variables, but only `1` equation.

For a unique solution. If there are:

`n` variables, you need `n` equations.

If you have `n-1` equations you will have to solve in terms of `1` variable.

If you have `n-2` equations you will have to solve in terms of `2` variables, and so on.

In this example we have `n=3` variables, and `n-2` equations.

So will solve in terms of `2` variables.

`2=Ae^(kt)`

Divide by `e^(kt)`

`2/(e^(kt))=A`

`A=2/(e^(kt))`

Assigning arbitrary values to `k` and `t` gives an infinite number of solutions.