F(x)=−x3 −x2 +16x+16 1. calculate f′(x). 2. calculate f′′(x). 3. find the x values such that f(x) = 0. note: this can be done by factoring.
4. find the stationary point/s. note: a point requires x and y coordinates.
5. determine the nature of this/these point/s. 6. find the point/s of inflection. 7. determine the limits: limx→∞ f(x) and limx→-∞ f(x). 8. graph y = f(x) by hand, labelling all important features found in the previous parts. also, the x and y axes need to be chosen so that all features (including limits) can be seen.
9. determine the point (x, y) where the function is increasing most rapidly.

What is the prime factorization of 195

Simplify the expression and find the missing terms. the simplest form of has in the numerator and in the denominator.

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )