for future viewers

The answer is C! AN antiderivative of f

a. t=31.718 weeks (where the two lines intersect) b. this is basically r1's accumulated population-r2's accumulated population, or how many more rabbits r1 has accumulated over the period of time.

b. First, find the number of iterations to get an error of less than .0001 by finding the number to get .0001 (and knowing that any number greater will "reduce error below .0001"). So, 2k^-2=.0001, or 2k^2=1/.001, and k=sqrt(5000) or approx. 70.7107. Sinc...

^ I may have made an error here, so feel free to check my work

The answer to C is 2*(3/2-(1/ln(2)), the answer for A. I got 3-(2/ln(2).

It's A, y=-7e^0.5x

oobleck is correct; answer d is the right answer!

1. The answer is actually f'(c)-f'(0)! I'm assuming this was just a typo on your part.