MATH428 Midterm: MATH428-07S-exam1

• School: University of Delaware
• Department: Mathematics
• Course: MATH428
• Professor: All

Document Summary

Please clearly erase or cross out irrelevant work; otherwise it will be part of the graded material. You must justify answers to receive full credit. Find c1, c2, and c3: suppose in the barycentric interpolation formulas for n = 2 you are given that x0 = 0, x2 = 1, w0 = 4, w2 = 4/3. Find x1 and w1: find the constant c and order p in the error term for this nite di erence formula: f (x) = 2f (0) 3f (h) + 6f (2h) f (3h) + cf (p+1)( )hp: derive the 2-point half-open newton cotes formula that results from interpolation of the values f (0) and f (h), followed by integration from h/2 to h, verify that p3(x) = x3.