Enter the coefficients of the fifth taylor polynomial t5(x) for the function f(x)
The coefficients are 3, 2, -6, -2, 2, and 1 and this can be determined by using the series formula.
Given :
b= 1
The formula of the series is given below:
Now, determine the value of 
.
Now, determine the value of 
.
Now, determine the value of 
.
Now, determine the value of 
.
The coefficients are 3, 2, -6, -2, 2, and 1 and this can be determined by using the series formula.
For more information, refer to the link given below:
link
Compute the necessary values/derivatives of 
at 
:
Taylor's theorem then says we can "approximate" (in quotes because the Taylor polynomial for a polynomial is another, exact polynomial) at by
###
Another way of doing this would be to solve for the coefficients 
in
by expanding the right hand side and matching up terms with the same power of 
.
Cone Formula: V = 3.14 * r² * h/3
Hint: 15/3 is 5
Cylinder: V = 3.14 * 4² * 5 Cone: V = 3.14 * 4² * 15/3
V = 3.14 * 16 * 5 V = 3.14 * 16 * 15/3
V = 50.24 * 5 V = 50.24 * 15/3
V = 251.2 in.³ V = 251.2 in.³
They both have the same volume.
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