Adisease is spreading through a herd of 200 goats. let g(t) be the number of goats who have the disease t days after the outbreak. the disease is spreading at a rate proportional to the number of goats who do not have the disease. suppose that 20 goats had the disease initially and 50 goats have the disease after 2 weeks.

(a) give the mathematical model (initial-value problem) for g.
(b) find the general solution of the differential equation in (a).
(c) find the particular solution that satisfies the given conditions.

He amount of carbon-14 present in animal bones t years after the animal's death is given by p(t)equals=upper p 0 e superscript negative 0.00012097 tp0e−0.00012097t. how old is an ivory tusk that has lost 26% of its carbon-14?

Ascientist wants to use a model to present the results of his detailed scientific investigation. why would a model be useful? a )because the model makes the concepts easier to understand b) because the model is easy to put together and to use c) because the model prevents other scientists from asking questions d) because the model requires the audience to pay full attention to it i don't know what to choose because between a and d a is much more likely than d because it only wants to get the attention of the audience. i'm confuse.

Identify the initial amount a and the growth factor b in the exponential function. a(x)=680*4.3^x