Calculus

For what value of the constant C is the vector field F = x2 i + C(xy + yz) j + z2 k. solenoidal? If ...

Started by lbcchick

Verify that the vector field F = x2 i + (1 - xy) j - xz k is solenoidal, and find a vector potential ...

Started by skymedlock

Find all values of the nonzero constant real numbers a, b, and c so that the vector field F = a cos( ...

Started by drink

A vector field F is called solenoidal in a domain D if

Started by NClaborn

If the vector field H = f(r) r, r 0 is solenoidal, find an expression for f(r).

Started by bobypop

Verify that the vector field F = (2xy2z2 - sin(x)sin(y)) i + (2x2yz2 + cos(x)cos(y)) j + (2x2y2z + ...

Started by dejastew

For r = x i + y j + z k, evaluate and simplify .

Started by jparksx

Compute the divergence and the curl of the vector field r = x i + y j + z k.

Started by ahriuashd

True or False: F = F for any sufficiently smooth vector field F.

Started by V@ndy87

Calculate the curl of the vector field V = x sin y i + cos y j + xy k.

Started by SAVANNAHHOOPER23

Calculate the divergence of the vector field F(x, y, z) = (ex - xz) i + (zexy - e2y) j - xyz4 k.

Started by LaDunn

Compute the divergence for the vector field F = (xy + xz) i + (yz + yx) j + (zx + zy) k.

Started by Engineer

Compute div F for F = sin 2x, cos 2y, tan 2z.

Started by jhjkgdfhk

Let be a scalar field and F be a vector field, both assumed to be sufficiently smooth.Which of the ...

Started by justinmsk

Compute curl F for F = (x - z) i + (y - x) j + (z - y) k.

Started by frankwu

If f(x, y, z) = y2z + cos(zx2), find f.

Started by Capo

Compute the gradient of the function f(x, y) = x2sin y + y2cos x.

Started by luminitza

Find the flux of F = xi + yj + zk upward through the hemisphere x2 + y2 + z2 = 1, z 0.

Started by casperchen82

Find , where r = xi + yj + zk, over the entire surface of the cone with base the disk in the ...

Started by mcmcdaniel

If the fluid velocity at the point (x, y, z) is G(x, y, z) = (0, 0, z), compute the upward flux ...

Started by stevenposner

Calculate the flux of F = x3 i + y3 j + z3 k outward across the surface of the sphere x2 + y2 + z2 = a2.

Started by frankwu

Find the flux of the field F = (x + y) i + (y + z) j + (x + z)k outward across the surface of the cube

Started by joesmith1212

Compute the flux of F = upward through the the part of the cone z2 = x2 + y2 lying inside the first ...

Started by EY67

Compute the flux of F = x i + y j + z k upward through the part of the plane x + y + z = 3 in the ...

Started by vicotolentino

Find the surface area of the part of the cylinder x2 + y2 = 2y that lies in the first octant and ...

Started by saliriagwu