The population of the state of Georgia (in thousands) from 1995 to 2005 is modeled by the polynomial p(t) =-0.27t2 + 101t + 7055 A a. Express the instantaneous growth rate for Georgia as a function. (interpretation) Ooslg GEORGIA Feur b. What is the instantaneous growth rate for Georgia in 1997? (calculation) C. When is the population of Georgia increasing and decreasing? Show all work! (calculation) Is there peak of population? Show work!.(analysis) d. e. Show there is a peak of population in Georgia using Rolle's Theorem. (theorization)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Please answer questions a, b, and c.
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