Math - Derivative of a polynomial function(check)

posted by .

The red squirrel population, p, in a neighborhood park can be modelled by the function p(t)= srqt(210t+44t^2), where t is time in year.
a) Determine the rate of growth of the squirrel population at t= 2years
Ans: find the 1st derivative and substitute 2 in the function.

b) When will the population reach 60 sqirrels
Ans: set p(t) = 60

c) What is the instantaneous rate of change of the population at the time in part b)?
Ans: the time obtained in b, substitute that into the 1st derivative.

d) When is the instantaneous rate of the squirrel population approximately 7squirrels per year?
Ans: set the first derivative p'(t) = 7

  • Math - Derivative of a polynomial function(check) -

    your answers are correct

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - Derivative of a polynomial function

    The population, p in thousands of bacteria colony can be modelled by the function p(t)=200+20t-t^2, where t is the time, in hours, t is greater than or equal to zero. a) Determine the growth rate of the bacteria population at each …
  2. Math

    he world population at the beginning of 1990 was 5.3 billion. Assume that the population continues to grow at the rate of approximately 2%/year and find the function Q(t) that expresses the world population (in billions) as a function …
  3. Population growth

    The population P of a particular city, Metropia, is growing at a rate proportional to the current population. The population at time t years is modelled by the equation P = Aekt where A and k are constants. (a) With the aid of appropriate …
  4. Maths B - Population Growth

    The population P of a particular city, Metropia, is growing at a rate proportional to the current population. The population at time t years is modelled by the equation P=¡¼Ae¡½^kt where A and k are constants. With the aid of appropriate …
  5. math

    The number of individuals N in a population of a certain species is given by the following function of time, t: N(t)= 100/(1+9e^-t), t>=0 a.)how many ppl are in the population initially(at t=0) b.)determine the size ofa the populations …
  6. Applied Calculus

    The world population at the beginning of 1990 was 5.3 billion. Assume that the population continues to grow at the rate of approximately 2%/year and find the function Q(t) that expresses the world population (in billions) as a function …
  7. Calculus

    The population in certain country is growing at the rate of 7 % a year . If the population in the year 1995 was 190 million, (a)determine an exponential expression representing the population as a function of the year. (b) What will …
  8. math

    The park currently contains 20 wolves and the park rangers are introducing additional wolves at the rate mt(12−t) wolves per month, 0≤t≤12 for some constant m>0 to be determined. However, the park rangers are concerned …
  9. math

    To determine the squirrel population in a city park, researchers tagged 90 squirrels. Later, they counted 630 squirrels, 42 of which had tags. Based on this data, what is the total number of squirrels in the park?
  10. Algebra II Help

    4) The function f(x)=2(3)^x represents the growth of a dragonfly population every year in a remote swamp. Rose wants to manipulate the formula to an equivalent form that calculates seven times a year, not just once a year. Which function …

More Similar Questions