Question

Compute ∫∫S F·dS for the vector field F(x,y,z) =〈0,0,x2+y2〉through the surface given by x^2+y^2+z^2= 4, z≥0...

Compute ∫∫S F·dS for the vector field F(x,y,z) =〈0,0,x2+y2〉through the surface given by x^2+y^2+z^2= 4, z≥0 with outward pointing normal.

Please explain and show work.

Thank you so much.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Please give me a like............

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Compute the surface integral over the given oriented surface: F=〈0,9,x2〉F=〈0,9,x2〉 ,  hemisphere x2+y2+z2=4x2+y2+z2=4, z≥0z≥0 ,  outward-pointing normal
Compute the surface integral over the given oriented surface: F=〈0,9,x2〉F=〈0,9,x2〉 ,  hemisphere x2+y2+z2=4x2+y2+z2=4, z≥0z≥0 ,  outward-pointing normal
Calculate the line integral of the vector field ?=〈?,?,?2+?2〉F=〈y,x,x2+y2〉 around the boundary curve, the curl of...
Calculate the line integral of the vector field ?=〈?,?,?2+?2〉F=〈y,x,x2+y2〉 around the boundary curve, the curl of the vector field, and the surface integral of the curl of the vector field. The surface S is the upper hemisphere ?2+?2+?2=36, ?≥0x2+y2+z2=36, z≥0 oriented with an upward‑pointing normal. (Use symbolic notation and fractions where needed.) ∫?⋅??=∫CF⋅dr= curl(?)=curl(F)= ∬curl(?)⋅??=∬Scurl(F)⋅dS=
Evaluate the surface integral S F · dS for the given vector field F and the...
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x2 i + y2 j + z2 k S is the boundary of the solid half-cylinder 0 ≤ z ≤ 25 − y2 , 0 ≤ x ≤ 3
F · dS for the given vector field F and the oriented surface S. In other...
F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x2 i + y2 j + z2 k S is the boundary of the solid half-cylinder 0 ≤ z ≤(9-y^2)^1/2 , 0 ≤ x ≤ 3 Please provide a final answer as this is where I have an issue.
Evaluate the surface integral S F · dS for the given vector field F and the...
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = yi − xj + 2zk, S is the hemisphere x2 + y2 + z2 = 4, z ≥ 0, oriented downward
Evaluate the surface integral    S F · dS for the given vector field F and...
Evaluate the surface integral    S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xy i + yz j + zx k S is the part of the paraboloid z = 2 − x2 − y2 that lies above the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and...
Evaluate the surface integral S F · dS for the given vector field F and the...
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xy i + yz j + zx k S is the part of the paraboloid z = 4 − x2 − y2 that lies above the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and has...
Evaluate the surface integral S F · dS for the given vector field F and the...
Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xy i + yz j + zx k S is the part of the paraboloid z = 6 − x2 − y2 that lies above the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and has...
Evaluate the surface integral    S F · dS for the given vector field F and...
Evaluate the surface integral    S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = xy i + yz j + zx k S is the part of the paraboloid z = 6 − x2 − y2 that lies above the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, and...
Evaluate the surface integral F · dS for the given vector field F and the oriented...
Evaluate the surface integral F · dS for the given vector field F and the oriented surface S. In other words, find the flux of F across S. For closed surfaces, use the positive (outward) orientation. F(x, y, z) = x2 i + y2 j + z2 k S is the boundary of the solid half-cylinder 0 ≤ z ≤ 4 − y2 , 0 ≤ x ≤ 5
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT