Question

Find the average value of the function over the given interval and all values of x in the interval for which the function equals its average value.

f(x) = 4x3 − 3x2, [−1, 2]

Answer 1

see the related questions below. Just use your function instead.

Answer 2

Didn't work

Answer 3

boy, you don't give much away, do you?

The average value is

∫[a,b] f(x) dx
------------------
    b-a

So, what didn't work?

∫[-1,2] 4x^3-3x^2 dx
= x^4-x^3 [-1,2]
= (16-8)-(1+1)
= 6

6/3 = 2

So, where is f(x)=2?
4x^3-3x^2=2
x ≈ 1.137

Answer 4

Ariel has one gallon container of juice and one quart container of juice. how many 1-cup servings of juice does Ariel have?