hw1s - 2.2344- 2.2422+ 2.2383+ 2.2344- 2.2383+ 2.2363+...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
473/Fall 2009/Homework #1/Solutions (1) a b m 0.0000- 1.0000+ 0.5000- 0.5000- 1.0000+ 0.7500+ 0.5000- 0.7500+ 0.6250 (2) (a) a b m 0.0000- 1.0000+ 0.5000- 0.5000- 1.0000+ 0.7500+ 0.5000- 0.7500+ 0.6250+ 0.5000- 0.6250+ 0.5625- 0.5625- 0.6250+ 0.5938+ 0.5625- 0.5938+ 0.5781- 0.5781- 0.5938+ 0.5859+ (b) a b m 3.2000- 4.0000+ 3.6000+ 3.2000- 3.6000+ 3.4000- 3.4000- 3.6000+ 3.5000+ 3.4000- 3.5000+ 3.4500+ 3.4000- 3.4500+ 3.4250+ 3.4000- 3.4250+ 3.4125- 3.4125- 3.4250+ 3.4188+ (3) a b m 2.0000- 3.0000+ 2.5000+ 2.0000- 2.5000+ 2.2500+ 2.0000- 2.2500+ 2.1250- 2.1250- 2.2500+ 2.1875- 2.1875- 2.2500+ 2.2188- 2.2188- 2.2500+ 2.2344- 2.2344- 2.2500+ 2.2422+
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: 2.2344- 2.2422+ 2.2383+ 2.2344- 2.2383+ 2.2363+ 2.2344- 2.2363+ 2.2354-(4) After n iterations, the maximum error is ( b-a ) / 2 n . We have to solve the inequality 3 2 n < 10-6 , giving n > log 2 3 10 6 21 . 5. Since n has to be an integer, we need at least 22 iterations. 1 2 (5) The rst few iterations are: a b m 1.5000+ 1.6000- 1.5500+ 1.5500+ 1.6000- 1.5750-1.5500+ 1.5750- 1.5625+ 1.5625+ 1.5750- 1.5688+ 1.5688+ 1.5750- 1.5719-1.5688+ 1.5719- 1.5703+ 1.5703+ 1.5719- 1.5711-However, the function has no root in the interval....
View Full Document

Page1 / 2

hw1s - 2.2344- 2.2422+ 2.2383+ 2.2344- 2.2383+ 2.2363+...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online