The population p(t) at time t of a certain mouse species satisfies the differential equation `(d p(t))/(dt)=0. 5 p(t)-450`. If `p(0)""=""850` , then the time at which the population becomes zero is

Let the population of rabbits surviving at a time t be governed by the differential equation (d p(t)/(dt)=1/2p(t)-200. If p(0)""=""100 , then p(t) equals

Let the population of rabbits surviving at a time t be governed by the differential equation (d p(t))/(dt)=1/2p(t)-200. If p(0)""=""100 , then p(t) equals (1) 400-300""e^(t//2) (2) 300-200""e^(-t//2) (3) 600-500""e^(t//2) (4) 40-300""e^(-t//2)

A population p(t) of 1000 bacteria inroduced into nutrient medium grows according to the relation p(t)=1000+(1000t)/(100+t^2) . The maximum size of this bacterial population is

The percent p of a popuation that has completed 4 years of college is given by the function p(t) = -0.001 t^2 + 0.4 t . Where t represents time , in years . What percent of the population has completed four years of college after 20 years , to the nearest tenth ?

A starts from rest, with uniform acceleration a. The acceleration of the body as function of time t is given by the equation a = pt, where p is a constant, then the displacement of the particle in the time interval t = 0 to t=t_(1) will be

The momentum p of a particle changes with the t according to the relation dp/dt=(10N)+(2N/s)t . If the momentum is zero at t=0, what will the momentum be at t=10?.

If N = population density at time t, then population density at time t + 1 can be written as. N_(t+1) = N_(t) + [(A+B)-(C+D)] . Select the correct option for A,B,C and D in the above equation.

A population of rabbits doubles every 48 deays according to the formula P=10(2)^((t)/(48)) , where P is the population of rabbits on day t. what is the value of r when the population of rabbits is 320?

A differentiable function y = g(x) satisfies int_0^x(x-t+1) g(t) dt=x^4+x^2 for all x>=0 then y=g(x) satisfies the differential equation

The dimensions of a/b in the equation P=(a-t^(2))/(bx) where P is pressure, x is distance and t is time are