Answer:
-4x^3 +12x^2 for 0 < x < 3
Step-by-step explanation:
The power rule is appropriate:
(d/dx)x^n = n·x^(n-1)
This is applied to each of the terms.
F'(x) = -(4·x^3) +4(3x^2) +0
F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3
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The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].
The answer is optional d.
<h3>
Answer: 1080</h3>
====================================================
Explanation:
We have an octagon because there are n = 8 sides. The diagram below shows one way to number the sides so you can count them efficiently (without missing any or double counting any).
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Plug n = 8 into the formula below
S = 180(n-2)
S = 180(8-2)
S = 180(6)
S = 1080
The 8 interior angles add up to 1080 degrees.
Answer:
9.53939 = 9.53 or rounded to 9.54
Step-by-step explanation:
Answer:
(0,3) One solution
Step-by-step explanation:
Step: Solve x+5y=15for x:
x+5y=15
x+5y+−5y=15+−5y(Add -5y to both sides)
x=−5y+15
Step: Substitute −5y+15for x in 7x+2y=6:
7x+2y=6
7(−5y+15)+2y=6
−33y+105=6(Simplify both sides of the equation)
−33y+105+−105=6+−105(Add -105 to both sides)
−33y=−99
−33y
−33
=
−99
−33
(Divide both sides by -33)
y=3
Step: Substitute 3 for y in x=−5y+15:
x=−5y+15
x=(−5)(3)+15
x=0(Simplify both sides of the equation)
Therefore (0,3) which is one solution
