{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

MAD4401Quiz2 - MAD 4401 Quiz 2 James Keesling 1 Numerical...

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

MAD 4401 Quiz 2 James Keesling 1 Numerical Differentiation Problem 1.1. Determine a formula to estimate the third derivative of a function f ( x ) at the point x 0 using the points { x 0 - 3 h, x 0 - 2 h, x 0 - h, x 0 , x 0 + h, x 0 + 2 h, x 0 + 3 h } . Problem 1.2. In Problem 1.1 determine the optimal h in estimating the third derivative. Also determine the accuracy of the estimate assuming that the error in computing f ( x ) is approximately = 10 - 30 . Problem 1.3. Use the above to estimate the third derivative of sin( x ) at x = 1 . Of course, we can determine this exactly with the calculator without using the method. However, knowing the answer allows us to see exactly how accurate our method is. 2 Lagrange Interpolating Polynomials Problem 2.1.
This is the end of the preview. Sign up to access the rest of the 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