If f(0)=0, f'(0)= 1, f"(0)=0, and f'''(0)=2, then which of the following is the third order Taylor polynomial generated by f(x) at x=0?

a) 2x^3+x

b) (1/3)x^3+(1/2)x

c) (2/3)x^3+x

d) 2x^3-x

e) (1/3)x^3+x

Please show all your work.

If f(0)=0, f'(0)= 1, f"(0)=0, and f'''(0)=2, then which of the following is the third order Taylor polynomial generated by f(x) at x=0?

a) 2x^3+x

b) (1/3)x^3+(1/2)x

c) (2/3)x^3+x

d) 2x^3-x

e) (1/3)x^3+x

Please show all your work.

Tutors, please sign in to answer this question.

New Wilmington, PA

The third order Taylor polynomial generated by f(x) at x=0 is of the form

P_{3}(x) = f(0) + f'(0) x + (1/2!) f''(0) x² + (1/3!) f'''(0) x³.

With f(0)=0, f'(0)= 1, f"(0)=0, and f'''(0)=2 this becomes

P_{3}(x) = x + (1/3!) 2 x³ = x + (1/3) x³ .

Jonathan B.

Math Tutor (K-12), SAT/GED prep, plus Piano!

Flushing, NY

4.9
(138 ratings)

Arkady E.

Math PhD Student and College Instructor

New York, NY

5.0
(122 ratings)

Kasey H.

Chemistry/Math/Art History Tutor: Elementary - College Level

New York, NY

4.8
(5 ratings)

- Math 6430
- Math Word Problem 2541
- Math Help For College 1105
- Math Problem 683
- Math Equations 829
- Math Question 586
- Algebra 2 2604
- Word Problem 3585
- Algebra Help 846
- Algebra 3513

Find a tutor fast. Get the app.

Are you a tutor? Get the app for tutors

© 2005 - 2016 WyzAnt, Inc. - All Rights Reserved

## Comments