32. Which side of the triangle in the diagram is the hypotenuse? A. X B. Y C. Z
2 answers:
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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:
And solving for the radius we got:
And replacing the data given we got:
And this value converted to meters is
Step-by-step explanation:
For this case we know the population size and we also know the population density
We can assume that the area is a circle. We also know that the formula for the population density is given by:
Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:
With X the radius of the circle
And then the populationd density become:
And solving for the radius we got:
And replacing the data given we got:
And this value converted to meters is