Find the taylor polynomial t3(x) for the function f centered at the number

a. f(x) = e^(â3x) sin(2x), a = 0

Question

10-08-2017
Mathematics

contestada

Find the taylor polynomial t3(x) for the function f centered at the number

a. f(x) = e^(â3x) sin(2x), a = 0

Respuesta :

Otras preguntas

Please help it an emergency and I give Brainiest.

Anne frank Need help announcement! need 2 reason How she changed and how she stay the same announcement! I've just graded a couple of essays and this meme is a

how do you calculate the number of protons

The human body contains trillions of cells. All cells in the human body are the same in structure and function. true or false?

14. Which of the following is likely the biggest threat to the existence of the European welfare system? A. A rise in taxes that provides governments in the EU

The Suns heavy eyelids is an example of which figurative device?

27 ft. 36 ft x? need help please help

What statement is true about - 14 and -8?

HELPPPP PLEASE!!!! THANK YOU

If the diameter of a circle has endpoints A(7, 2) and B(-1, 8), where is the center of the circle? A. C(4, 3) B. D(3, 5) C. E(9, 12) D. F(5, 8) E. G(4, 5) I nee

LammettHash LammettHash · Answer 1 · 2017-08-12T01:28:42+02:00

[tex]e^{-3x}=\displaystyle\sum_{n=0}^\infty\frac{(-3x)^n}{n!}=1-3x+9x^2+\cdots[/tex]
[tex]\sin2x=\displaystyle\sum_{n=0}^\infty\frac{(-1)^n(2x)^{2n+1}}{(2n+1)!}=2x-\dfrac{4x^3}3+\cdots[/tex]

[tex]e^{-3x}\sin2x=\left(1-3x+9x^2+\cdots\right)\left(2x-\dfrac{4x^3}3+\cdots\right)[/tex]
[tex]\approx T_3(x)=(1-3x+9x^2)\left(2x-\dfrac{4x^3}3\right)[/tex]
[tex]T_3(x)=2x-6x^2+\left(18-\dfrac43\right)x^3[/tex]
[tex]T_3(x)=2x-6x^2+\dfrac{50}3x^3[/tex]

Find the taylor polynomial t3(x) for the function f centered at the number a. f(x) = e^(â3x) sin(2x), a = 0

Respuesta :

Otras preguntas

Find the taylor polynomial t3(x) for the function f centered at the number

a. f(x) = e^(â3x) sin(2x), a = 0