Posted by **Alison** on Wednesday, November 30, 2011 at 4:17am.

Find the degree 3 Taylor polynomial T3(x) of the function f(x)=(7x+50)4/3 at a=2

Find the second-degree Taylor polynomial for f(x)=4x2−7x+6 about x=0

thank you! (:

- math (taylor polynomials) -
**MathMate**, Thursday, December 1, 2011 at 6:54am
Taylor's series about a (to x² term):

f(x)=f(a) + f'(a)x/1! + f"(a)x²/2!

For

f(x)=(4/3)(7x+50)=(28x/3)+200/3, and a=2

f'(x)=28/3

f"(x)=0

f(x)=f(2) + f'(2)(x-2)/1! + f"(2)(x-2)²/2!

=(4/3)(64) + 28/3(x-2) + 0(x-2)²/2!

=(4/3)(7x-50)

Try the second one along the same lines, and post if you would like to check the answer, which should be the same as the original function.

## Answer this Question

## Related Questions

- calculus-- need help desperately! - The Taylor series about x=5 for a certain ...
- calculus - Let f be a function that has derivatives of all orders for all real ...
- Calculus - Find the degree 3 Taylor polynomial T3(x) of the function f(x)=(&#...
- Calculus - Please.... I need your help! I posted this question yesterday and no ...
- Calculus - Find the degree 3 Taylor polynomial approximation to the function f(x...
- math - Find the taylor polynomial of degree 3 for f(x)=1/x+2 F(x)=-1/x+2)
- Calculus - Hi~ Thank you for your help! I was trying to work on a problem about ...
- Calculus - find the 6th degree Taylor polynomial for f(x)=cosx centered at pi/2
- Math - Hello, I am learning about Taylor series in school, but they are quite ...
- Calc 2 taylor series - use the definition of a taylor series to find the Taylor ...