{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW5assignment - HW#5 Due EGM6341 Fall 2009 From textbook by...

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

View Full Document Right Arrow Icon
HW#5 EGM6341 Fall 2009 Due: 2/26/09 From textbook by Atkinson pp185-194 #6 Suppose that you are to making a table of values of sin(x), 0 < x < π/2 with a stepsize of h. assume linear interpolation is to be used with the table, and suppose the total error, including the effects due to rounding in the table entries is to be at most . What should h equal (choose it in a convenient size for actual use) and to how many significant digits should the table entries be given? #11 Let be distinct real points, and consider the following interpolation problem. Choose a function such that with the {y i } given data. Show there is a unique choice of c 0 ,…c n . Hint: the problem can be reduced to that of ordinary polynomial interpolation. #18 Do an inverse interpolation problem using the table for J 0 (x) given in Section 3.2 x f 2 0.223890779 2.1 0.16660698 2.2 0.110362267 2.3 0.055539784 2.4 0.002507683 2.5 -0.048387764 2.6 -0.096804954 2.7 -0.14244937 2.8 -0.185036033
Image of page 1

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

View Full Document Right Arrow Icon
2.9 -0.224311548 Find the value of x for which J 0 (x)=0, that is, calculate an accurate estimate of the root. Estimate your accuracy, and compare this with the actual value x=2.4048255577. #20 Consider the following table of values for
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    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.

    Student Picture

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

  • Left Quote Icon

    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.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    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.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern