Mathematics: Find the coefficient of x 4 in the taylor series expansion centered at the origin for the function f(x) = 8 ln(9 + 3x 2 ).

Given:In right triangle .To find:The ratio (fraction) for Tan H.Solution:In a right triangle,In .It can be written asTherefore, the fraction for Tan H is or it can be written as ....

Find the coefficient of x 4 in the taylor series

Ответ:

chem64

31.05.2023

Mathematics

Given:

In right triangle $GHI,m\angle I=90^\circ,GH=7.5,HI=7.2,GI=2.1$ .

To find:

The ratio (fraction) for Tan H.

Solution:

In a right triangle,

$Tan\theta=\dfrac{Perpendicular}{Base}$

In $\Delta GHI$ .

$Tan H=\dfrac{GI}{HI}$

$Tan H=\dfrac{2.1}{7.2}$

It can be written as

$Tan H=\dfrac{21}{72}$

$Tan H=\dfrac{7}{24}$

Therefore, the fraction for Tan H is $\dfrac{2.1}{7.2}$ or it can be written as $\dfrac{7}{24}$ .

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Find the coefficient of x 4 in the taylor series expansion centered at the origin for the function f(x) = 8 ln(9 + 3x 2 ).

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