Answer:
The fifth degree Taylor polynomial of g(x) is increasing around x=-1
Step-by-step explanation:
Yes, you can do the derivative of the fifth degree Taylor polynomial, but notice that its derivative evaluated at x =-1 will give zero for all its terms except for the one of first order, so the calculation becomes simple:

and when you do its derivative:
1) the constant term renders zero,
2) the following term (term of order 1, the linear term) renders:
since the derivative of (x+1) is one,
3) all other terms will keep at least one factor (x+1) in their derivative, and this evaluated at x = -1 will render zero
Therefore, the only term that would give you something different from zero once evaluated at x = -1 is the derivative of that linear term. and that only non-zero term is:
as per the information given. Therefore, the function has derivative larger than zero, then it is increasing in the vicinity of x = -1
Answer:28
Step-by-step explanation:103-20-20-25-10,will be equaled to (28)
Answer: I think it’s neither
Explanation:
The line is parallel unless the slope is the same and with a different y-intercept
The line are perpendicular unless the one of the slope is the negative reciprocal of the other.
And both equation didn’t meet any of the requirement.
Answer: Bajo del Gualicho has a higher elevation than Lago Enriquillo.
Step-by-step explanation:
Since in this case the "elevations" are negative because are under sea level, we can call it depth.
In this sense, we are given the "elevations" or depths of two places:
Bajo del Gualicho: -72 m
Lago Enriquillo: -46 m
Keeping in mind we are actually talking about the depth of this places, we can say Bajo del Gualicho is deeper than Lago Enriquillo, and this is best expressed with the following inequality:

Where
represents Bajo del Gualicho and
represents Lago Enriquillo.