I need help with these problems! Please!!

[noname1234]

Hello!

Can someone solve/help me with these problems?

Consider the function f(x)=0.3x+1.2^2-4x+15

(A) Find the relative extrema of f(x)
(B) Find the absolute extrema of f(x) between x=-6 and x=3

2. The average size of a farm in the United States from 1940 through 1995 can be modeled by F(x)= -0.00285x^3+0.536x^2-25.946x+533.050 acres x years after 1900.

(a) Find the point of most rapid increase on F(x)
(b) Although f(x) is a continuous function, it must be interpreted discretely in this context. With that in mind, determine when, accoring to the model, the average farm size was increasing most rapidly between 1940 and 1995. What was the rate of change in that year?

 

[stapel]

1-A) Take the derivative, set it equal to zero, and solve. Then apply the First Derivative Test.

1-B) Evaluate the function at the x-values from (1-A) and also at the interval endpoints. Pick the x-values returning the highest and the lowest y-values.

2-a) Find the maximum of the first derivative.

2-b) Presumably the answer in (2-a) will not be a whole number. So look to either side to see which whole number gives the larger value.

Eliz.

 

[noname1234]

I don't know how to do any of that...derivative and stuff.

 

[jolly]

You don't know how to take the derivative of something and you're in Calculus?

 

[stapel]

I don't know how to do any of that...derivative and stuff.

To get from the beginning of a calculus class to where you'd be asked these sorts of questions would usually take a minimum of a month of in-class study. Obviously, we cannot recreate that here.

You might want to speak to your school counsellor about being placed in a more appropriate course, as you should not have been plopped down in the middle of a calculus class without any of the necessary background information.

Good luck.

Eliz.