For this case we have the following definitions:
A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.
A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.
We then have the following function:

Applying the definitions we have:

Answer:
The function is not odd because it is fulfilled:

Therefore, the function is even.
Answer:
3.
7.608
Step-by-step explanation:
An irrational number is any number which can't be written as a fraction this way. For example, pi and the square root of two cannot be expressed as a fraction of two whole numbers, so they are both irrational.
if we make the respective accounts in the first and second problem we will see that they are irrational numbers
the fourth is a periodic number, which falls within the irrational
the only rational is the third
Answer:
an = 63(-1/3)^(n-1)
Step-by-step explanation:
This is a geometric sequence with first term 63 and common ratio -1/3.
The equation for the nth term is
an = 63(-1/3)^(n-1).
Answer:
The answer is 5.......
Step-by-step explanation:
5x5=25
The derivative of
at a point
in the direction of a vector
is

We have

and

Then the derivative at
in the direction of
is
