Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Topic Video
Question
Thank you
![2/for the linear system defined by Ax=B where A and B are given below (a=20 and b = 47)
2а 3
a
7
b
9 4
0 6
[(45 + 10a)]
(54 + 7b)
6.
8
A =
-2
B =
В
19
38
Solve the linear system to determine the vector x using the Gauss Elimination method, presenting the
full computational transformation steps
3/
Calculate the dot product h, (h = cx d) and the k-directed product vector of c and d, (k = cx d ) where c,
d are the two vectors given by (a=20 and b=47)
c = [aỉ + bj+ 2a k ],d
= [ai +2j+ bk]](https://content.bartleby.com/qna-images/question/4c74af9f-931d-4714-af47-0baa883e77ff/6912fc40-09c5-4b15-937b-1b893d293986/ecl3x7_processed.png)
Transcribed Image Text:2/for the linear system defined by Ax=B where A and B are given below (a=20 and b = 47)
2а 3
a
7
b
9 4
0 6
[(45 + 10a)]
(54 + 7b)
6.
8
A =
-2
B =
В
19
38
Solve the linear system to determine the vector x using the Gauss Elimination method, presenting the
full computational transformation steps
3/
Calculate the dot product h, (h = cx d) and the k-directed product vector of c and d, (k = cx d ) where c,
d are the two vectors given by (a=20 and b=47)
c = [aỉ + bj+ 2a k ],d
= [ai +2j+ bk]
![4/
We have (a=20 and b=47) and the function f(x, y, z) = 6x² + 4y²x – 7zy2
a. Calculate the gradient of the function f at P(2a,-b,5)
b. Determine the direction of variation of the function f at P(a,b,3a) in the direction of vector c = [2,5,a]
c. The application, assuming the need to optimize the function f to the minimum value, calculates the
values of the variables after updating 1 time with an update rate of 0.1
5/
A line in the factory is driven by 2 motors. Conveyor belt allows 100kg load. If the load exceeds 100kg,
the probability of motor 1 failure is a%, the possibility of motor 2 failure is up to 2*b%. The probability
of both motors failing is 0.5a%. When the system is in operation and the employee loads the conveyor
with a load of 120kg. Calculate the probability that motor 1 or motor 2 fails in this case.
(a=20 and b =47)](https://content.bartleby.com/qna-images/question/4c74af9f-931d-4714-af47-0baa883e77ff/6912fc40-09c5-4b15-937b-1b893d293986/vvyh7i_processed.png)
Transcribed Image Text:4/
We have (a=20 and b=47) and the function f(x, y, z) = 6x² + 4y²x – 7zy2
a. Calculate the gradient of the function f at P(2a,-b,5)
b. Determine the direction of variation of the function f at P(a,b,3a) in the direction of vector c = [2,5,a]
c. The application, assuming the need to optimize the function f to the minimum value, calculates the
values of the variables after updating 1 time with an update rate of 0.1
5/
A line in the factory is driven by 2 motors. Conveyor belt allows 100kg load. If the load exceeds 100kg,
the probability of motor 1 failure is a%, the possibility of motor 2 failure is up to 2*b%. The probability
of both motors failing is 0.5a%. When the system is in operation and the employee loads the conveyor
with a load of 120kg. Calculate the probability that motor 1 or motor 2 fails in this case.
(a=20 and b =47)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 3 steps with 41 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Similar questions
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
Numerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY 
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,