Question

Please answer this Calculus webwork question about differential equations:

Answer 1

1.

`p(t) = 2000({2}^{ (t)/(4) })`

2.

`p(8) = 2000( {2}^{ (8)/(4) } ) = 2000( {2}^(2) ) = 2000(4) = 8000`

3. p'(t) = 2,000(1/4)(2^(t/4))(ln 2)

= (500 ln 2)(2^(t/4))

p'(t) = 2,000 ln 2 cells/hour

= about 1,386 cells/hour