Answer:
There are an absolute minimum (x = 6) and an absolute maximum (x = 12).
Step-by-step explanation:
The correct statement is described below:
Find the absolute maximum and minimum values of the function below:
, 
Given that function is a polynomial, then we have the guarantee that function is continuous and differentiable and we can use First and Second Derivative Tests.
First, we obtain the first derivative of the function and equalize it to zero:


(Eq. 1)
As we can see, only a solution is a valid critical value. That is: 
Second, we determine the second derivative formula and evaluate it at the only critical point:
(Eq. 2)
x = 6

(Absolute minimum)
Third, we evaluate the function at each extreme of the given interval and the critical point as well:
x = 2


x = 6


x = 12


There are an absolute minimum (x = 6) and an absolute maximum (x = 12).
Answer:
if you noticed, it is reduces by 2
so the sequence would be
93, 91, 89, 87, 85, 83
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Hope this helps!
Answer:
122.5 m
Step-by-step explanation:
s = ½g.t²
= ½×9.8×5² = 122.5
The restriction are that neither h nor g may equal zero as that would lead to division by zero.
The simplification after units cancel is:
(3(gh)^3)/100 or if you prefer
0.03(gh)^3
Larger triangle’s base length
a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
__________________
Smaller triangle’s base length:
The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
____________
The finale!
Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)
Good luck to you!