The taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 
/2!+...........
Given a function f(x)=9/x,a=-4.
We are required to find the taylor series for the function f(x)=8/x centered at the given value of a and a=-4.
The taylor series of a function f(x)=
Where the terms in f prime 
(a) represent the derivatives of x valued at a.
For the given function.f(x)=8/x and a=-4.
So,f(a)=f(-4)=8/(-4)=-2.
(a)=(-4)=-8/(
=-8/16
=-1/2
The series of f(x) is as under:
f(x)=f(-4)+
=-2+2(x+4)/1!-24/16 /2!+...........
Hence the taylor series for the f(x)=8/x centered at the given value of a=-4 is -2+2(x+4)/1!-24/16 /2!+...........
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To find the 7th term, all you have to do is plug it in the equation.
First n would equal 7 because we are looking for the 7th term.
Now, let's plug everything we know into the equation.
a7 = 2+5 * (7-1)
= 2 + 5 * 6
= 2 + 30
= 32
In conclusion, the 7th term would equal 32.
(24 × 17 × 130\2)
24 × 17 = 408 x 130 = 53,040 / 2 = 26,520
So the volume of this box is
C= 26,520 cm^3
Answer:
C. Ratio
True for this case we have a clear definition of the 0 since the 0 for the heigth and the weigth represent absence of mass. And the differences between numerical values for the two variables are meaingful.
Step-by-step explanation:
We want to know which type of variable represent the weigth and the height. Let's analyze one by one the options given:
A. Ordinal
False since by definition an ordinal variable is "is a categorical variable for which the possible values are ordered". And for this case the height and the weigth are not categorical since represent quantitative data.
B. Nominal
False by definition and ordinal variable is which one that can't be represented by numeric values, and for this case the weight and the height are not example of this definition.
C. Ratio
True for this case we have a clear definition of the 0 since the 0 for the heigth and the weigth represent absence of mass. And the differences between numerical values for the two variables are meaingful.
D. Interval
False on this scale we don't have a clear definition of the 0. And for this case the heigth and the weight have a known definition of the 0 corresponding to the absence of mass. And since the ratios are meaingful for the heigth and the weigth then can't be an interval variable.
