Ap Calc help

Test Preparation AP Mathematics & Computer Science
1

the population of rabbits (in thousands) in a forest at time t months is modeled by the equation R(t)= 50t^2e^-1 + 8 where t is greater than 0

  1. the initial number of rabbits is: 8
  2. the rate of change in the number of rabbits at time is
  3. how fast is the number of rabbits changing after one year
  4. determine the final number of rabbits in the forest by evaluating the limit as t approaches infinity
  5. when does the largest number of rabbits in the forest occur in the interval of t is in between 0-4 (including)
2

@MITer94

3

i think #4 is 50
and #5 is 2

4

@zxcvbnm I have no clue where the exponents are. I initially interpreted it as 50t^2 e^{-1} + 8 (i.e. the expression 50 times t^2 times e^{-1}, plus 8) but that doesn’t make sense with problem 4. Use delimiters such as brackets { } to separate exponents.

5

@MITer94 I actually figured it out. Thanks