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:
2x^3
Solution
You simplify to the lowest value possible 4x^6
2x^3
4x - 24y = 72
First subtract 4x from each side
-24y = -4x + 72
Divide each side by -24 so y is by itself
y = -4/-24x + 72/-24
To simplify -4/-24, the greatest common factor they have is -4, so divide the numerator and denominator by -4
y = 1/6x + 72/-24
To simplify 72/-24, the greatest common factor is 24, so divide the numerator and denominator by 24
y = 1/6x - 3
This is now in slope intercept form
Answer:
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