First, you need to find the derivative of this function. This is done by multiplying the exponent of the variable by the coefficient, and then reducing the exponent by 1.
f'(x)=3x^2-3
Now, set this function equal to 0 to find x-values of the relative max and min.
0=3x^2-3
0=3(x^2-1)
0=3(x+1)(x-1)
x=-1, 1
To determine which is the max and which is the min, plug in values to f'(x) that are greater than and less than each. We will use -2, 0, 2.
f'(-2)=3(-2)^2-3=3(4)-3=12-3=9
f'(0)=3(0)^2-3=3(0)-3=0-3=-3
f'(2)=3(2)^2=3(4)-3=12-3=9
We examine the sign changes to determine whether it is a max or a min. If the sign goes from + to -, then it is a maximum. If it goes from - to +, it is a minimum. Therefore, x=-1 is a relative maximum and x=1 is a relative miminum.
To determine the values of the relative max and min, plug in the x-values to f(x).
f(-1)=(-1)^3-3(-1)+1=-1+3+1=3
f(1)=(1)^3-3(1)+1=1-3+1=-1
Hope this helps!!
<h2>Answer_use this method </h2>
where
- d=is the given decimal
- k=is the number of terminating digits
- p=is the number of repeating digits
Step-by-step explanation:
Greetings !
use the above formula to change any decimal into fraction form
Thus, plug in the value and solve
Hope it helps !
Answer:
the height of the building is 86.6m
Step-by-step explanation:
In the right triangle, the height which we are looking for is the opposite side, since it is opposite to the angle 60°
Now we need to find the height of the building
tanθ = Opposite side/Adjacent side
tan 60° = Opp side/Adj side
1.7321 = Opp side/50
1.7321 x 50 = Opp side
Opp side = 50 x 1.7321
Opp side = 86.6 m
Therefore, the height of the building is 86.6m.
Answer:
no solution
Step-by-step explanation:
3 - 6а = 9 - ба
Add 6a to each side
3 - 6а+6a = 9 - ба+6a
3 = 9
This is never true so there is no solution
Answer:
320°
Step-by-step explanation:
<u>Part 1</u>
The arc length is given by ...
s = rθ . . . . . r is the radius, θ is the central angle in radians
We want to find θ, so we can fill in the given values and divide by the coefficient of θ.
8π = 4.5θ
θ = 8π/4.5 = 16π/9 . . . radians
Since π radians = 180°, the degree measure of the angle is ...
θ = (16/9)180° = 320°
The measure of the angle subtended by the arc is 320°.
_____
<u>Part 2</u>
We might be able to help with the second part of the question, but you need to edit to put in the numbers and answer choices.
