How do you write 36/100 as a fraction in simplest form?
1 answer:
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Answer:
Saddle point:
Local minimum:
Local maxima: ,
Step-by-step explanation:
The function is:
The partial derivatives of the function are included below:
Local minima, local maxima and saddle points are determined by equalizing both partial derivatives to zero.
It is quite evident that one point is (0,0). Another point is found by solving the following system of linear equations:
The solution of the system is (3/8, -3/8).
Let assume that y = 0, the nonlinear system is reduced to a sole expression:
Another solution is (9/8,0).
Now, let consider that x = 0, the nonlinear system is now reduced to this:
Another solution is (0, -9/8).
The next step is to determine whether point is a local maximum, a local minimum or a saddle point. The second derivative test:
The second derivatives of the function are:
Then, the expression is simplified to this and each point is tested:
S1: (0,0)
(Saddle Point)
S2: (3/8,-3/8)
(Local maximum or minimum)
S3: (9/8, 0)
(Local maximum or minimum)
S4: (0, - 9/8)
(Local maximum or minimum)
Unfortunately, the second derivative test associated with the function does offer an effective method to distinguish between local maximum and local minimums. A more direct approach is used to make a fair classification:
S2: (3/8,-3/8)
(Local minimum)
S3: (9/8, 0)
(Local maximum)
S4: (0, - 9/8)
(Local maximum)
Saddle point:
Local minimum:
Local maxima: ,
The expression in company B represents that is is in arithmetic progression where first term is 42000 and common difference is 1800 . So we have to use the formula of sum of n terms which is
Where a is the first term, n is the nth term, d is the common difference
On substituting there values,we will get
= 15(84000+52200) = 15*136200 =2043000
And for company A, it is
Difference between them =2043000-2002500= 40500
So the correct option is the second option .