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- The population, P(t), of fish in a lake is modeled by the equation dP/dt =3P-2.4*10-4P2. If this population begins with 500 fish when will the population of fish reach 10 thousand?An object moves on a trajectory given by r(t)=<10cos4t,10sin4t> for 0≤t≤π. How far does it travel?In the given question , consider a particle moving along the x-axis, where x (t) is the position of the particle at time t, x'(t) is its velocity, and x"(t) is its acceleration? x(t) = t3 - 6t2 + 9t - 2, 0 ≤ t ≤ 5
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