Calculus

Find the equipotential surfaces of the conservative field F(x,y,z) = e(y + 2z)(i + x j + 2x k).

Started by Sufayan.ah

The gradient of a scalar field expressed in terms of polar coordinates [r, ] in the plane is (r,) = ...

Started by Pineapplelove6

Consider F = (2e2x cos(y) + Ax2y2z -z2) i + (B e2x sin(y) + 2x3yz) j + (x3y2 + Cxz) k. For what ...

Started by renzo156

An equipotential surface of a conservative vector field F is given by y x + ln( ) = 12 for y, z > 0. Find F.

Started by Hungry!

Is F (x,y,z) = 6xy sin(2z) i + 3x2sin(2z) j - 6 xy cos(2z) k conservative? If so, find a potential for it.

Started by P68T

Is F (x,y) = (3x2y + 2xy2 + 1) i + (x3 + 2x2y + 1) j conservative? If so, find a potential for it.

Started by tingc95

Find a vector parametric equation of the field line of the vector field F(x, y, z) = -y i + x j + k ...

Started by sam.t96

Find parametric equations of the streamline of the velocity field v(x, y, z) = y i - y j + y k that ...

Started by kaid0807

Find the family of field lines of the plane polar field F(r, ) = 2 + .

Started by nramada

Describe the streamlines of the given velocity field v(x, y, z) = - yi + xj.

Started by vHAUNG6011

Find the gradient vector field f(x,y) of f(x, y) = .

Started by notis

A thin plate is bounded from above by the arc of the parabola y = 2x - x2 and from below by the ...

Started by swpotter12

Find the average distance from the centre of a ball of radius a to all the points of the ball.

Started by bclement10

Find the centroid of the upper half of the solid ball of radius a with centre at the origin.

Started by storky111

Find the coordinates , , of the centroid of the region that lies below the surface z2 = 5xy above ...

Started by itsmyluck

Find the centroid of a solid right circular cone with height h and base radius a. The cone has its ...

Started by melly21297

The surfaces x = 0, y = 0, z = 0, x = 1, y = 1, and z = 1 bound a solid cube of constant density p. ...

Started by chandani

Let D be the planar region occupied by a thin plate with mass equal to 2 units and density function ...

Started by nelaaney

Find the mass of a plate in the form of a right triangle with legs a and b if the density is ...

Started by ec501234

Find the surface area S of the part of the cone z2 = x2 + y2 inside the cylinder and above the xy-plane.

Started by Alygatorr01285

The surfaces x + y + z = 1, x = 0, y = 0, z = 0 bound a solid object of constant density. Find its ...

Started by jlmhmf

Where is the centre of mass of a solid right circular cone of constant density?

Started by laurencescou

A star of radius R km has density k/ kg/km3 at distance km from its centre. Find its mass.

Started by saliriagwu

Evaluate the triple integral in cylindrical coordinates for the volume inside the cylinder and ...

Started by crobinson2013

Evaluate the iterated integral by transforming it to spherical coordinates.

Started by Beheh