CS Assignment 3 Solution

Question 1 (Problem 4.26)

    (i) (a) = 4,  (b)= 7
    (ii) (a)=2.2, (b)=7
    (iii) (a)=4, (b)=2.2
    (iv) (a)=7, (b)=4

Your Answer ((i)-(iv)):





Question 2 (Problem 6.13)

    (i) 420W
    (ii) 420KW
    (iii) 530W
    (iv) 580KW

Your Answer ((i)-(iv)):





Question 3 (Problem 8.7)

The truncation error is:

    (i) O(h)
    (ii) O(h^2)
    (iii) O(h^3)
    (iv) O(h^4)

Your Answer ((i)-(iv)):





Question 4 (Problem 8.9)

    (i) f’_male(2006)=4965;
f’_female(2006)=10681;
Predicted_Males(2008)=673601;
Error_Males=0.62%;
Predicted_Females(2008)=277990;

Error_Females=0.58%



    (ii) f’_male(2006)=4940;
f’_female(2006)=10681; Predicted_Males(2008)=673601; Error_Males=0.62%; Predicted_Females(2008)=277987; Error_Females=0.57%


    (iii) f’_male(2006)=4940;
f’_female(2006)=10681; Predicted_Males(2008)=673601; Error_Males=0.68%; Predicted_Females(2008)=277987; Error_Females=0.42%


    (iv) f’_male(2006)=4965;
f’_female(2006)=10670; Predicted_Males(2008)=673601; Error_Males=0.68%; Predicted_Females(2008)=277987; Error_Females=0.52%



Your Answer ((i)-(iv)):