It has been determined that the function f(x) = -12x5 - 6x³ + 10 has zero value between .x₁ = 0 dan x₁ = 1 (i.e. f(x) curve crosses the x-axis within the interval of 0 and 1). (a) Explain briefly (using calculation, if necessary) how to conclude that the point of zero f(x) lies between x = 0 and x = 1, as mentioned above. (b) Use bisection method with 3 iterations to solve for the position, x within the 0 and 1 interval, where the function is zero.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
PRACTICE QUESTIONS 2
-
It has been determined that the function f(x) = -12x5 6x³ + 10 has zero value
between x ₁ = 0 dan x₂ = 1 (i.e. f(x) curve crosses the x-axis within the interval of 0 and
1).
(a) Explain briefly (using calculation, if necessary) how to conclude that the point of
zero f(x) lies between x = 0 and x = 1, as mentioned above.
(b)
Use bisection method with 3 iterations to solve for the position, x within the 0 and
1 interval, where the function is zero.
Transcribed Image Text:PRACTICE QUESTIONS 2 - It has been determined that the function f(x) = -12x5 6x³ + 10 has zero value between x ₁ = 0 dan x₂ = 1 (i.e. f(x) curve crosses the x-axis within the interval of 0 and 1). (a) Explain briefly (using calculation, if necessary) how to conclude that the point of zero f(x) lies between x = 0 and x = 1, as mentioned above. (b) Use bisection method with 3 iterations to solve for the position, x within the 0 and 1 interval, where the function is zero.
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Graphical methods
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning