MAT136H1 Lecture Notes - Scuba Diving, Trapezoidal Rule

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

Question #5 (medium): integral approximation & error bound using simpson"s rule. The error bounds are given by: | | , where , and | ( )| for the midpoint. Notice that only the denominator is slightly different. | ( )( )| , meaning the fourth derivative of the function is bound by factor. Usually the question provides these input values in order to calculate the error bounds. Solution ( ) ( ) ( )], where is even and. Since total 1 hour interval is given by every 5 minute, the interval is [ ] in seconds, with so that.