MTH603 Quiz Solution by Kiran Naseem

MTH603 · Assignment 1 · Solution BY VU360

Q1. Solution By Mudasar Qureshi Vu360:

[1, 1.5]

= 1.5.

= 1.3817. = (1.3817 + 1.6321) (1.5 − 1) = 3.0138.

𝑚 = 1.5 − 1.3817 3.0138 = 1.2414. ≈ 1.24298.

Q2. Solution By Mudasar Qureshi Vu360:

[−2, −1]

𝑥0 = −1.1

i · xi · f(xi) · m · x(i+1)

1. 0000 -1.6321
2. 5000 1.3817 3.0138 1.2414
3. 2414 0.0536 3.0055 1.2429
4. 2429 0.0004 3.0055 1.2430 = 2.3161. 2.3161 = −1.0535.

i · xi · f(xi) · f'(xi) · x(i+1)

-1.1000 -2.2444 2.3161 -1.0535 -1.0535 -0.1429 2.1039 -1.0463 -1.0463 -0.0063 2.0713 -1.0462

= −1.0462.