Solve the initial value problem. ds dt = cost – sint, s (7) = 3 NOTE: This question is bonus, worth 5 points. Os=sint + cost + 2 8 = sint + cost +4 None of them 8 = sint - cost + 2 8=2 sint + 1
Find the derivative of the function. s={Intl ds 11 dt
If s follows the geometric Brownian motion process ds - S dt+oS dz what is the process followed by (a) y = 2S, (b) y S 5.
If s follows the geometric Brownian motion process ds - S dt+oS dz what is the process followed by (a) y = 2S, (b) y S 5.
Solve these differential equations: 1.) dy/dt = P[(1/y)-1] +by-a 2.) dy/dt = b*y* e^(-ct) 'P', 'b', and 'a' are constants. Thanks.
use the chain rule to find dz/ds and dz/dt. z=arcsin(x-y), x=s^2+t^2, y=2-6st. dz/ds=? dz/dt=?
If s follows the geometric Brownian motion process ds - S dt+oS dz what is the process followed by (a) y = 2S, (b) y S 5.
(Problem 3) Consider the following three-species ecosystems: dF F(a – cS) dt ds S(-k + \F – mG) dt dG G(-e+oS). dt Assume that the coefficients are positive constants. Describe the role each species plays in this ecological system. =
(Problem 1) Given the Lotka-Voltera model: -) dF F(a-cs) dt ds S(-k + XF). dt (1) Linearize the model about the equilibrium point (F, S) = (0,0) using Taylor series.
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Evaluate the line integral in Stokes Theorem to evaluate the surface integral J J(VxF)-n ds. Assume that n points in an upward direction F (xty,y z,z+x) S is the tilted disk enclosed by r()-(3 cost,4sint,7 cos t Rewrite the surface integral as a line integral. Use increasing limits of integration. dt (Type exact answers, using π as needed.) Find the value of the surface integral. JÍs×F).nds-ロ (Type an exact answer, using π as needed.)
Evaluate the line integral in Stokes...