clylindrical AND spherical 9. Compute the covariant and contravariant cylindrical coordinates of the e-tensot. Do the...
5(10pts) Consider a general co-ordinate transformation; How does a contravarint vectorV Transform A covariant vector V what is the metric ternsor, gik,how is it defined; How do you obtain, g" From gik How can you use the metric tensor to go from a contravariant vector component to a covariant component gk for a spherical surface of a sphere of radius, R Find guk, and
5(10pts) Consider a general co-ordinate transformation; How does a contravarint vectorV Transform A covariant vector V...
3. Convert the integral from rectangular coordinates to both cylindrical an spherical coordinates, and evaluate the simplest iterated integral. 1 1-y2
3. Convert the integral from rectangular coordinates to both cylindrical an spherical coordinates, and evaluate the simplest iterated integral. 1 1-y2
Need help with both of these... Thanks
3. Write the equation+ cylindrical coordinates and (b) spherical coordinates. 1 in (a) 4. Sketch the solid described by the given inequalities. For help with visualizing Spherical Restrictions: https://ggbm.at/hhh8wgpc 1< p3 and 00 2 2 tY
3. Write the equation+ cylindrical coordinates and (b) spherical coordinates. 1 in (a) 4. Sketch the solid described by the given inequalities. For help with visualizing Spherical Restrictions: https://ggbm.at/hhh8wgpc 1
HW 4(II) - Triple Integrals (Cylindrical+Spherical) (1) Sketch E and then use cylindrical coordinates to evaluate /// f(x,y,z) dv. (@) 12,90 (b) y (c) f(x, y, z) = y; E:x2 + y2 <1,x > 0, y = 0,05252 (d) f(x,y,z) = x E: x2 + y2 <z 59
Come up with one equation in spherical coordinates for which the solution set is the xy-plane. Do the same problem in both cylindrical and rectangular coordinates. please show full work
A) solve this integral in cylindrical
coordinates.
b) set up the integral in spherical coordinates (without
solving)
10 points Compute the following triple integral: 1/ 1.32 + plav JD where D is the region given by V x2 + y2 <2<2. Hint: z= V x2 + y2 is a cone.
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)...
Find the distance P1P2 vector between P1 (1, 2, 3) and P2 (-1, -2, 3) in Cartesian coordinates, cylindrical coordinates, AND spherical coordinates.
1. Express the point given in Cartesian coordinates in
cylindrical coordinates (r,θ,z). (9(√3/2), 9(1/2), 1)=
2. Express the point given in Cartesian coordinates in spherical
coordinates (ρ,θ,ϕ). (7/3√3,21/4,7/2) =
I know we are only supposed to post 1 per question however for
this one I have 1 part correct, I just need some help with the
rest. Please if you have the time help with question 2. Thank you
for your time and knowledge.
(1 point) Express the point given...