dtermExamination CSCI3231 Spring,2005 ___________
Your Name… ..
Please answer each question by entering the most nearly correctanswer (a, b, c, d) in the blank on the left.
___/_1. The approximation ex ≈ 1 + x + ½x2 is to be used over [-1,1]. The truncation error isapproximately:
a. 1/6 x4 b. 1/24 x4 c. 1/6 x3 d. 1/24 x3
____2. The polynomial that interpolates the data shown in thetable can be written as:
a. -1 + 4/3 x – ½ x2 + 1/6 x3 b. -1 + 7/3 x – 7/2 x2 +1/6 x3
c. -1 + 13/3 x – 3/2 x2 + 1/6 x3 d. 3 + 4 x .– ½ x2 + 1/6 x3
.
Xx x
Y y
1
21 2
2
3
3
3 3
3 4
3 3
____3.
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