Write a compound statement that results in a true conjunction.
1 answer:
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Answer:
a) , b)
,
, c)
, d)
Step-by-step explanation:
a) Let derive the function:
is undefined when denominator equates to zero. The critical point is:
b) when numerator equates to zero. That is:
This equation shows two critical points:
,
c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that corresponds to a local maximum. (See Attachment)
d) By plotting the function, it is evident that corresponds to a local minimum. (See Attachment)
For this case we must simplify the following expression:
We solve the operation of the second parenthesis, taking into account that different signs are subtracted and the sign of the major is placed:
We multiply:
We eliminate the parentheses:
We add similar terms, taking into account that equal signs are added and the same sign is placed:
Answer:
The simplified expression is: