Answer:
Step-by-step explanation:
Hello
please find attached the graph
you can notice that
(a) from the graph we can say that there is no maximum and one minimum in x = 3
and then f(3) = 0 so o is the minimum of f
(b) vertex is (3,0)
(c) x = 3 is an axis of symmetry
(d) as the root is 3
(e) y=9 for x = 0 so the y-intercept is 9
do not hesitate if you need further explanation
if you like my answer, tag it as the brainliest :-)
Answer:
16.3 years
Step-by-step explanation:
1 ha = 10,000 m^2
The total capacity of the landfill is:
If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:
The expected life of the landfill is given by its capacity divided by the yearly volume:
The landfill has an expected life of 16.3 years.
Answer:
The load balance Mw minimizes the total cost
Step-by-step explanation:
<u>Optimizing With Lagrange Multipliers</u>
When a multivariable function f is to be maximized or minimized, the Lagrange multipliers method is a pretty common and easy tool to apply when the restrictions are in the form of equalities.
Consider three generators that can output xi megawatts, with i ranging from 1 to 3. The set of unknown variables is x1, x2, x3.
The cost of each generator is given by the formula
It means the cost for each generator is expanded as
The total cost of production is
Simplifying and rearranging, we have the objective function to minimize:
The restriction can be modeled as a function g(x)=0:
Or
We now construct the auxiliary function
We find all the partial derivatives of f and equate them to 0
Solving for \lambda in the three first equations, we have
Equating them, we find:
Replacing into the restriction (or the fourth derivative)
And also
The load balance Mw minimizes the total cost