do only if you know 3. The two surfaces shown have the same boundary. Suppose they are both oriented so that the lightside (the inside) is the "positive" side. Is the following reasoning correct? Justify your answer."Since S₁ and S₂ have the same (oriented) boundary, the flux integrals ff, G-dS and ₂ G. dSmust be equal for any vector field G. Therefore, you can compute any flux integral using the simplersurface."S₁S2

The suraces are given below.The given statement is "Since and have the same (oriented) boundary,…

Answered: The two surfaces shown have the same…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.6: Additional Trigonometric Graphs

Problem 77E

See similar textbooks

Similar questions

Suppose that over a certain region of space the electrical potential V is given by the following equation. V(x,v,z)= 5x2 – 2xy + xyz In which direction does V change most rapidly at P(5, 2, 4)? (24,10,10> b. (54,4, – 8) а. c. (54,10,10> d. (24,2,8) e. (54,10, – 10>
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 + 3, z²) and the net is decribed by the equation y = √1-x²-2², y ≥ 0, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.)
Use the equation giving the flux of the vector field across the curve to calculate the flux of F(x, y) = (e", 4x – 1) across C, the parabola y = x for 0 < x < 9, oriented left to right. (Use symbolic notation and fractions where needed.) F. dr = Ttterf (9i) - 2025 Incorrect
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-x²-2², y 20, and oriented in the positive y-direction. (Use symbolic notation and fractions where needed.) 1.45-1 yas
Let S be the cube with side length 7, faces parallel to the coordinate planes, and centered at the origin. Enter the exact answers. (a) Calculate the total flux of the constant vector field ? = - í +7j + k out of S by computing the flux through each face separately. Total flux = i (b) Calculate the flux out of S for any constant vector field v = a 7 +b} +ck. Total flux = i Save for Later Attempts: unlimited Submit Answer
If A = 2xz 2 i - yz j + 3xz 3 k and ∅ = x 2 yz , find (a) ∇x A, (b) curl (∅A) ,(c) ∇ x (∇xA), (d) ∇ [A.curl A], (e) curl grad ∅A at the point (1,1,1).

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS