Fall2011-HW2

# Fall2011-HW2 - f x has a unique maximum in the interval[4...

This preview shows page 1. Sign up to view the full content.

Homework 2 Math 371, Fall 2011 Assigned: Thursday, September 15, 2011 Due: Thursday, September 22, 2011 (1) (Rootfinding and Optimization) (a) Suppose f ( x ) is differentiable on [ a, b ] . Discuss how you might use a rootfinding method to identify a local extremum of f ( x ) inside [ a, b ] . (b) Let f ( x ) = log x - sin x . Prove that f ( x ) has a unique maximum in the interval
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: f ( x ) has a unique maximum in the interval [4 , 6]. (Note that log means natural logarithm.) (c) Approximate this local maximum using six iterations of the bisection method with starting interval [4 , 6]. (2) (Order of Convergence) (a) Section 2.3 #8 (b) Section 2.3 #9 1...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern