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!!
Answer:
$16.25
Step-by-step explanation:
4 hats cost $65
1 hat cost 65/4=16,25
Answer:
option A
Step-by-step explanation:
given,
the bank branch is offering $1,000 certificates of deposit.
Rate of interest per year = 4 % = 0.04
The bank is selling certificates with terms of 1, 2, 3, or 4 years
total amount = A , in dollar
time of investment = k years
4 k% is added to the original deposit.
A = P + P r t
A = P (1 + r t)
A = P (1 + 0.04 k)
the correct answer is option A
Answer:
B = C - D / A
Step-by-step explanation:
C = AB + D
subtract D
C - D = AB
Divide by A
B = C - D / A
C and D are both divided by A
The arc length is given by:
2πr(theta)/360
given the circumference is 72 cm, the arc length will be:
AB=45/360*C
AB=45/360*72
AB=9 cm
the answer is 9 cm
