A liquid at a temperature of 120°F is placed in a room at 36°F. Its temperature T (in °F) at time t (in s) is found by solving the equation dT + 0.13(T-36)dt=0.  Solve for T as a function of t.

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A: The size P of a small herbivore population at time t (in years) obeys the function When P(t)=4000…

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A: given that                                   for maximum or minimum we need derivative. so,…

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A: The population is given as a function of time. So put the population to get the answer.

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A: .

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Q: The size P of a small herbivore population at time t​ (in years) obeys the function P(t)=600e0.25t…

A: Simply substitute P = 1200 and solve for t using Lograthim.

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A: 1990 corresponds to t=0 So, M0= 351000 And r= 0.95% = 0.0095 So the model is:

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A: The solution of the problem is given in the next steps.

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A: Solve

Q: find a formula for the exact solution Xn.

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Q: The size of P of a small herbivore population at time t (in years) obeys the function P(t) =…

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