1 / 5

2 3 1

The following table contains the evaluation of the Taylor polynomial centered at a = 1 for f(x) = 1/ x . What is the degree of this polynomial? x T(x) 0.5 1.88 0.6 1.62 1.8 0.33 2.9 -4.15 3 -5.00. 2 3 1. 1. 2. 3.

odette
Download Presentation

2 3 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The following table contains the evaluation of the Taylor polynomial centered at a = 1 for f(x) = 1/x. What is the degree of this polynomial? x T(x)0.5 1.88 0.6 1.62 1.8 0.33 2.9 -4.15 3 -5.00 • 2 • 3 • 1

  2. 1. 2. 3. Find the Taylor polynomial {image} for the function f at the number a = 0. {image} • {image} • {image} • {image}

  3. Use Taylor's Inequality to estimate the accuracy |R3| of the approximation f(x) at the number a = 0, when {image} {image} • 0.5001 • 0.0001 • 1.0001

  4. Use the Alternating Series Estimation Theorem or Taylor's Inequality to estimate the range of values of x for which the given approximation is accurate to within the stated error. {image} • -1.092< x < 1.492 • -0.792< x < 1.792 • -1.292 < x < 1.292

  5. A car is moving with speed 25 m/s and acceleration 2m/s2 at a given instant. Using a second-degree Taylor polynomial, estimate how far the car moves in the next second. • 26 m • 26.5 m • 27 m

More Related