Traniate the vector و دما -4 to spherical coordinates. p = and y You must have...
1.18. Points P and P' have spherical coordinates (r,0,y) and (r,θ,φ), cylindrical coordinates (p, p, z) and (p',p',z'), and Cartesian coordinates (x, y, z) and (x',y',z'), respectively. Write r - r in all three coordinate systems. Hint: Use Equation 1.2) with a r r and r and r' written in terms of appropriate unit vectors.
20. Describe the curve, surface, or region given in spherical coordinates 2<p < 3,0 <0<27, 034 3 21. Describe the region in space given by integral with volume rdz dr do 0
Please help me. i didnt understand those formulas. can you
please explain them. thanks.
Problem 3.25 A vector field is given in cylindrical coordinates by Point P(2, T,3) is located on the surface of the cylinder described by r-2. At point P find (a) the vector component of E perpendicular to the cylinder, (b) the vector component of E tangential to the cylinder. Can anyone please tell me where does these formulas come from and also is there any formulas...
Use spherical coordinates to calculate the triple integral of f(x, y, z) = y over the region x2 + y2 + z2 < 3, x, y, z < 0. (Use symbolic notation and fractions where needed.) S S lw y DV = help (fractions)
Write the vector differential operator "DEL-V in Cartesian coordinates Cylindrical coordinates Spherical coordinates. 2. Show for any "nice" scalar function (x,y,z), the Curl of the gradient of (x,y,z) is Zero.. VxVo = 0 Hint: assume the order of differentiation can be switched 3. Find the volume of a sphere of radius R by integrating the infinitesimal volume element of the sphere. 4. Write Maxwell's equations for the case of electro and magneto statics (the fields do not change in time)...
A. Make a sketch of a vector F- (x,y, z), labeling the appropriate spherical coordinates. In addition, show the unit vectors r, θ, and φ at that point B. Write the vectors ŕ.0, and ф in terms of the unit vectors x, y, and г. Here's the easy way to do this 1. For r, simply use the fact that/r 2. For φ, use the following formula sin θ Explain why the above formula works 3. Compute θ via θ...
Question 3 1 pts Calculate Sw y DV using cylindrical coordinates, where W is the solid: z? + y2 < 4, 2 > 0 y 0, 0 <z<6.
Use spherical coordinates to find the volume of the solid that lies above the cone z = 3x2 + 3y2 and below the sphere x2 + y2 + z? first octant. Write = 1 in the v=L"!" " * sinħapapao 1. 0 2. 1 d = 3. À b = 4. 7T 2 f= 5. 6 a = < 6. Í C = 7. 21 ve Ja Ja Ja p sin qapaqau 1. 0 2. 1 d = 3. b=...
Sketch the region given in spherical coordinates by the inequalities 0<p<1, 0<0 < /2, 0 < ¢ < T. Express this region in cylindrical coordinates.
(9) Stokes' Theorem for Work in Space F(x, y, z) =< P,Q,R >=<-y+z, x - 2,x - y > S:z = 4 - x2 - y2 and z>0 (9a) Evaluate W= $ Pdx + Qdy + Rdz с (9) Stokes' Theorem for Work in Space F(x, y, z) =< P,Q,R>=<-y+z, x - 2, x - y > S:z = 4 - x2 - y2 and z 20 (9b) Verify Stokes' Theorem.