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:
Using the two marked points we see that the slope is -3 and the y-intercept is 1 so the answer is y = -3x + 1.
Answer:
X=1
Step-by-step explanation:
Solve this like any other two step equation.
But first plug in y value.
3x + 2 = 5
Subtract 2 from each side
3x = 3
Now divide each side by 3
X=1
Hope this helps plz mark brainliest!
Answer:
x = 4
Step-by-step explanation:
We can find RT
sin theta = opposite / hypotenuse
sin 60 = 2 sqrt(3) / RT
RT = 2 sqrt(3) / sin 60
RT = 2 srt(3) / ( sqrt(3) / 2)
RT = 4
tan theta = opp/ adjacent
tan 45 = x / RT
tan 45 = x / 4
4 tan 45 = x
4 * 1 = x
4 = x