Answered: Using the divergence theorem, the value… | bartleby

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter5: Inner Product Spaces

Section5.CM: Cumulative Review

Problem 12CM

See similar textbooks

Related questions

Question

100%

please do not use chat gpt

Using the divergence theorem, the value sin(2M), where M is the outward flux of the vector field F =
4x²+4x+2y² + 10yz — y,
P =
- 8x² + 6xy - 22 5x,
Q =
R ==
10xy + 10xz + 2y² – 6z² — 5z,
= (P,Q,R),
through the surface of the cube [1, 2]³, is
0.350
0.288
0.220
-0.861
0.059
0.313
-0.961
0.135

Expert Solution

Step by step

Solved in 2 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Blurred answer

Similar questions

Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of its length. b u has the direction opposite that of v and twice its length.
13. For the vector fields: A = x + 2y + 3z2; ŷ Check both product rule given in below: B = 3y - 2x ŷ. V(A.B) = A x (V x B) + B × (V x A) + (A · V)B + (B · V)A V. (A x B) = B. (V x A) - A. (V x B)
A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v=(x-y,z+y+7,z2) and the net is decribed by the equation y=1-x2-z2, y20, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.)
Find all points (a, b, c) on the sphere x2 + y2 + z2 = R2 where the vector field F = yz2i + xz2j + 2xyzk is normal to the surface and F(a, b, c) ≠ 0.
Find the co-ordinate on the space curve given by the position vector r(t) 5 sin(2t)i +5 cos(2t)j + 24tk, which is at a distance of 267 units along the space curve from the co-ordinate (0,5,0).
Consider the vector field v(x) j+6k. a) Calculate fv• dr, where I is the straight line from (4,0,4) to (0,4,8). b) Calculate fu• dr where C'is the curve from (4,0,4) to (0,4, 8) in the first quadrant given by x? + 4y? = 22 ,x + z = 8.

Recommended textbooks for you

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

Elementary Linear Algebra (MindTap Course List)

Elementary Linear Algebra (MindTap Course List)

Algebra

ISBN:

9781305658004

Author:

Ron Larson

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS