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

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

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 ............................................................... (1) 2 ln 18 (2) ln 9 (3) 1/2 In 18 (4) ln 18

Differentiate between P wave and T wave

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

Let T be the r th term of an A.P. whose first term is a and conmon difference is d . If for some positive integers m ,n, T_(n)= (1)/(m) , T_(m) = (1)/(n) then (a – d) equals

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

D.P.T. vaccine in an example of

A particle moves in the xy-plane under the action of a force F such that the components of its linear momentum p at any time t and p_(x)=2cos t, p_(y)=2sin t. the angle between F and p at time t 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 ?

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