(Solved) : Dterm Examination Csci 3231 Spring 2005 Name Please Answer Question Entering Nearly Corre Q31819251 . . . .

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.