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Answer:
purrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Step-by-step explanation:
Answer:
a)
, b)
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.

b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:


The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:


According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:


The exact solution is
, indicating that graphic solution leads to a good approximation.
Make use of prime factorizations:

Both terms have a common factor of
:

- - -
The second one is not true! We can write

Both terms have a common factor of
:

Since
, and
, we'd still have to show that
is a multiple of 6. This is impossible, because
and there is no multiple of 2 that can be factored out.