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: y = -
x - 6
Step-by-step explanation:
The line crosses the y intercept at y = -6
The slope of the graph looks negative, as it extends from the top left quadrant to the bottom right quadrant.
A key trick is to use rise/run to figure out the slope:
Between each dot on the line, it rises 2 and runs -3 (negative because the direction is left).
So your equation would be: y = - x - 6
Mean simply means average
so just add them all up and divide by 5
22 + 37 + 49 + 15 + 71 = 195
195/5 = 39
mean = 39
Answer:
108.90
Step-by-step explanation:
You start with finding
10
%
of
90
.
$
90
⋅
.1
=
$
9
You add the money and the interest to get
$
99
for the first year. However, the next year is different. It's compound interest, so you have to multiply
10
%
by
$
99
.
$
99
⋅
.1
=
$
9.90
$
99
+
$
9.90
=
$ 108.90 The total would then be $
108.90 i think lol
Answer:
1) There exists a real number x such that for all real numbers y, xy ≤ y.
Step-by-step explanation:
Given the statement:
"There exists a real number x such that for all real numbers y, xy > y"
The negation of the statement is:
"There exists a real number x such that for all real numbers y, xy ≤ y"
The correct option is 1
