Question: The function is the solution of the differential equation y = .0002y(5000 - y) from Example 8. (a) Graph the function in the window [0,

The functionf(t) = 5000 1+ 49e t

is the solution of the differential equation y′ = .0002y(5000 - y) from Example 8.

(a) Graph the function in the window [0, 10] by [-750, 5750].

(b) In the home screen, compute .0002 f(3)(5000 - f (3)), and compare this value with f′(3).

f(t) = 5000 1+ 49e t

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