Integrate <span>f ''(x) = −2 + 36x − 12x2 with respect to x:
f '(x) = -2x + (36/2)x^2 - (12/3)x^3 + c. Find c by letting x = 0 and using f(0)=8.
Then f '(0) = -2x + 18x^2 - 4x^3 + c = 18 (which was given).
Then -0 + 0 - 0 + c = 18, so c = 18 and
f '(x) = </span>-2x + 18x^2 - 4x^3 + 18.
Go through the same integration process to find f(x).
Answer:
1) 
- Greater than -10 and less than 10.
2) ![[-10, 10]](https://tex.z-dn.net/?f=%5B-10%2C%2010%5D)
- Greater than or equal to -10 and less than or equal to 10.
3) 
- Greater than or equal to -10 and less than 10.
4) ![(-10, 10]](https://tex.z-dn.net/?f=%28-10%2C%2010%5D)
Greater than -10 and less than or equal to 10.
Step-by-step explanation:
There are four form of describing that set in interval notation, which presented below:
1) - Greater than -10 and less than 10.
2) - Greater than or equal to -10 and less than or equal to 10.
3) - Greater than or equal to -10 and less than 10.
4) Greater than -10 and less than or equal to 10.
Are you supposed to find B?
Answer:
f(x) has a larger growth rate
f(x) is always greater than g(x)
Step-by-step explanation:
f(x) = 2/5 x
g(x) = -2x
the slope of f(x) when graphed is 2/5 x, which is a positive value making it a larger growth rate than g(x) and it also will always be greater since the value of f(x) is positive
therefore the correct true statements are:
f(x) has a larger growth rate, and f(x) is always greater than g(x)
Answer:
The square lawn.
Step-by-step explanation:
This is because a perimeter of 36 meters means that it is 81 ft^2 of total area.
A circle of 36 meters means that it would be 36/2
r, which would be smaller that 81 ft^2.
