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:
Step-by-step explanation:
Answer:
angle M = 60
angle Q = 70
Step-by-step explanation:
M 180/3 = 60
Q 180-40 = 140/2 = 70
X^2-7x+38=5x+3
x^2-7x+38-5x-3=5x+3-5x-3
x^2-12x+35=0
Factoring:
(x-5)(x-7)=0
Two solutions:
x-5=0→x-5+5=0+5→x=5
x-7=0→x-7+7=0+7→x=7
Answer: x=5 and x=7
Answer: Options B. 7 and D. 5
I am not sure
Step-by-step explanation:
D John <em>Adams</em>