Newton's Method, Riemann Sums, Definite Integrals

48 views9 pages

Document Summary

Root finding can be easy or tough to do, sometimes even impossible. Initial approximation of is the tangent to curve at. Use tangent to at , take the -intercept. Since is closer to than let be the next approximation. In general, if approximation is and , the next approximation is. Accurate to decimal places iff 2 approximation in a row agrees to decimal places. So root is , accurate to 4 decimal places. Lec 29 - the area problem, riemann sums. Find the area of the region what lies under from to . Approximate the area under from 0 to 1 using riemann sums using 6 intervals and. Divide up into subintervals, the width of each is. Using right endpoints, are a of rectangle is. Area under the curve is approximately this is the right riemann sum with subintervals. as this approximately gets better is the left riemann sum with subintervals.

Get access

Grade+20% off
$8 USD/m$10 USD/m
Billed $96 USD annually
Grade+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
40 Verified Answers
Class+
$8 USD/m
Billed $96 USD annually
Class+
Homework Help
Study Guides
Textbook Solutions
Class Notes
Textbook Notes
Booster Class
30 Verified Answers

Related textbook solutions

Related Documents

Related Questions