Among all rectangular solids defined by the inequalities 0≤x≤a, 0≤y≤b, 0≤z≤ 1, find the one for which the total flux ofF = (-x² - 8xy)i - 4yzj+10zk outward through the six sides is greatest. What is the greatest flux?82The greatest flux occurs for a =and b =The maximum flux iswolWIN3

Answered: Image /qna-images/answer/bdd4a6cc-77b5-4f97-98ee-ce0f1f44849a.jpg

Answered: Among all rectangular solids defined by…

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter79: Computing Compound Angles On Cutting And Forming Tools

Section: Chapter Questions

Problem 4A

See similar textbooks

Similar questions

A pole of length AB is to be moved in two corridors of width 27ft and 8 ft. Find the minimum length AB for the pole to pass through the second fromthe first corridor. (See figure)
Consider the planes below: ⊼(pie): x+2y–1z=0 ⊼: –x+2y–3z–4=0 ⊼: x+6y–5z–4=0 a) Without solving the system, and by examining the normals, determine the nature of the intersection of the three planes. Include diagrams with answers. b) Find the intersection of the planes
1. Find the volume of the parallelepiped with adjacent edges PQ, PR and PS given the points P = (−2, 1, 0) Q = (2, 3, 2) R = (1, 4,−1) S = (3, 6, 1)
Consider the planes below: ⊼1(pie): x+2y–1z=0 ⊼2: –x+2y–3z–4=0 ⊼3: x+6y–5z–4=0 a) Without solving the system, and by examining the normals, determine the nature of the intersection of the three planes. Include diagrams. b) Find the intersection of the planes
Find the distance between the following skew lines x/2 =y−46, z=0 x-1/2 = y/2 =z+3
Consider the planes below: ⊼(pie): x+2y–1z=0 ⊼: –x+2y–3z–4=0 ⊼: x+6y–5z–4=0 a) Without solving the system, and by examining the normals, determine the nature of the intersection of the three planes. Include diagrams. b) Find the intersection of the planes
Can you pleasw give an explanation about the following question from the problem above. What did you find to be the connection between the nullspace and the solution to the homogeneous system? I also was wondering if you can point me to how you would find the dimension of the null space of A?
use the constrained variation to maximize the volume of an open cone when the surface area is 2π [ hint maximum v=1/3πr^2h subject to πr√r^2+h^2-20π=0]
Given the following coordinates in the plane (x,y): (1,-1), (3,-1), (9,9). Find the coordinate A which minimizes the sum of the squared distances between A and each point. What is the value of x and y for A?
1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendiculara. 1 unit b. 2 units c. 3 units d. 4 units2. Evaluate (i-2k)•( j +3k)a. 0 b. 1 c. 6 d. -63. What is the volume of a parallelepiped whose edges are represented by A= 2i-3j+4k,B= i+2j-k, and C= 3i-j+2ka. 7 cubic units b. 8 cubic units c. 9 cubic units d.10cubic units4.A vector which is not a null is calleda. resultant vector c. proper vectorb. rectangular vector d. component vectors5. Which of the following properties will be used when two or more vectors areperpendicular?a. dot product c.triple productb. cross product d. either a or b

Recommended textbooks for you

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Linear Algebra: A Modern Introduction

Algebra

ISBN:

9781285463247

Author:

David Poole

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS