Homework l l l Homework Assignment 29 Read
- Slides: 29
Homework l l l Homework Assignment #29 Read Section 4. 8 Page 277, Exercises: 1 – 53(EOO), 59 Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Show that L’Hôpital’s Rule is applicable and use it to evaluate the limit. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Show that L’Hôpital’s Rule is applicable and use it to evaluate the limit. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Show that L’Hôpital’s Rule is applicable and to evaluate the limit. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Show that L’Hôpital’s Rule is applicable and evaluate. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Apply L’Hôpital’s Rule to evaluate the limit. In some cases, it may be necessary to apply more than once. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Apply L’Hôpital’s Rule to evaluate the limit. In some cases, it may be necessary to apply more than once. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Apply L’Hôpital’s Rule to evaluate the limit. In some cases, it may be necessary to apply more than once. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Apply L’Hôpital’s Rule to evaluate the limit. In some cases, it may be necessary to apply more than once. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Apply L’Hôpital’s Rule to evaluate the limit. In some cases, it may be necessary to apply more than once. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Apply L’Hôpital’s Rule to evaluate the limit. In some cases, it may be necessary to apply more than once. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Apply L’Hôpital’s Rule to evaluate the limit. In some cases, it may be necessary to apply more than once. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Apply L’Hôpital’s Rule to evaluate the limit. In some cases, it may be necessary to apply more than once. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Evaluate the limit, using L’Hôpital’s Rule, if necessary. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework, Page 277 Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Jon Rogawski Calculus, ET First Edition Chapter 4: Applications of the Derivative Section 4. 8: Newton’s Method Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Sometimes we cannot find the real zeroes of a function via algebra. In such a situation, Newton’s Method may converge to root with sufficient accuracy. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
As illustrated in Figure 2, Newton’s Method is an iterative process that, if we have chosen a good initial estimate, will yield the desired zero to sufficient accuracy. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Derivation of Newton’s Method Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Example, Page 282 Use Newton’s Method with the given function and initial value xo to calculate x 1, x 2, and x 3. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Example, Page 282 Use Newton’s Method with the given function and initial value xo to calculate x 1, x 2, and x 3. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
As illustrated in figure 4, Newton’s Method doesn’t always work. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
As shown in Table 1, Newton’s Method doesn’t always converge to the root closest to the initial estimate. Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Example, Page 282 Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
Homework l l l Homework Assignment #30 Read Section 4. 9 Page 282, Exercises: 1 – 13(Odd) Rogawski Calculus Copyright © 2008 W. H. Freeman and Company
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