Answer:
a) The absolute maximum is 401 and the absolute minimum is 9.
b) The absolute maximum is 349 and the absolute minimum is -99.
c) The absolute maximum is 401 and the absolute minimum is -99.
Step-by-step explanation:
The absolute minimum and absolute maximum values are determined with the help of the First and Second Derivative Tests:
FDT
![3\cdot x^{2} + 12\cdot x - 63 = 0](https://tex.z-dn.net/?f=3%5Ccdot%20x%5E%7B2%7D%20%2B%2012%5Ccdot%20x%20-%2063%20%3D%200)
The roots of the function are:
and
. Each point is evaluated in the second derivative of the function:
SDT
![f''(x) = 6\cdot x + 12](https://tex.z-dn.net/?f=f%27%27%28x%29%20%3D%206%5Ccdot%20x%20%2B%2012)
(Absolute minimum)
(Absolute maximum)
The values for each extreme are, respectively:
![f(x_{1}) = -99](https://tex.z-dn.net/?f=f%28x_%7B1%7D%29%20%3D%20-99)
![f(x_{2}) = 401](https://tex.z-dn.net/?f=f%28x_%7B2%7D%29%20%3D%20401)
Now, each interval is analyzed herein:
a) The absolute maximum is 401 and the absolute minimum is 9.
b) The absolute maximum is 349 and the absolute minimum is -99.
c) The absolute maximum is 401 and the absolute minimum is -99.
Answer:
Area = 3x^5+3x^4-3x^3-3x^2
Step-by-step explanation:
Area equals length times width
x(x+1) * 3x(x^2-1)
(x^2+x) * (3x^3-3x)
3x^2(x+1)(x^2-1)
3x^5+3x^4-3x^3-3x^2
Answer:
for the 10 am gor to the number 1 and go up 6 little lines
for the 12:00 place it on 0
for 6:30 go to -5 and go down 2 lines
Step-by-step explanation: hope this help
Answer:
18
Step-by-step explanation:
3x + 2x = 90
5x = 90
5x/5 = 90/5
x = 18
A: is the answer that the one u click