Write a difference quotient that best approximates the instantaneous rate of change of g at x=0 Please show how you got your answer

We can define the average rate of change of a function f(x) in an interval [a, b] as:

Particularly, if we want to find an approximation of the rate of change for a particular value x', we can choose:

a < x' < b

Such that a and b are really close to x'.

Then if we want to find the instantaneous rate of change of g at x = 0, we need to find values of a and b really close to zero.

Looking at the table, we can choose:

a = -0.001

b = 0.001

(are the two closer ones to zero)

Then the rate of change can be written as:

From that, we can conclude that a good approximation of the instantaneous rate of change is 1.

If you want to learn more, you can read:

link

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

6,250

step-by-step explanation:

to get the area, multiply 360 by 160.(57,600)

to find out how many bags of fertilizer it will take, first figure out how many square feet one bag can hold. divide 1000 by 8(125) to get the unit rate(how many square feet one pound of fertilizer can hold)and multiply it by 50(6250). if i haven't made a mistake, that is the answer.