please provide full work. thank you
Come up with one equation in spherical coordinates for which the solution set is in the xy plane. Do the same problem in both cylindrical and rectangular coordinates.
please provide full work. thank you Come up with one equation in spherical coordinates for which the solution set is in...
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
Use rectangular, cylindrical and spherical coordinates to set up the triple integrals representing the volume of the region bounded below by the xy plane, bounded above by the sphere with radius and centered at the origin the equation of the sphere is x2 + y2 + z2-R2), and outside the cylinder with the equation (x - 1)2 +y2-1 (5 pts each) Find the volume by solving one of the triple integrals from above.( 5 pts) Total of 20 pts)
Use...
1. Convert the point ( 215 7.) from cylindrical to spherical coordinates. 2. Set up a triple integral, but do NOT evaluate, to find the volume of the solid in the first octant bounded by the coordinate planes and the plane 3x + 6y + 4z = 12. 1 3. Locate all relative maxima, relative minima, and saddle points of f(x,y) = x2 + 2y2 – x?y.
Please provide full solution with every steps
Compute the volume of the solid bounded by the paraboloid ==x² + y² and the plane z=4 using cylindrical coordinates. (7 marks)
Please help solve the calculus problem below, thanks a
lot.
2. Using polar coordinates, set up the iterated integral to compute the volume of the solid bounded above by : - and bounded below by the semi-circular 3x + 2 y disk in the xy-plane (with center (3,0) and radius 3) given in the picture. (Be sure to show your work on how you find the limits of integration.) -3+
In spherical polar coordinates (r, 0, ¢), the general solution of Laplace's equation which has cylindrical symmetry about the polar axis is bounded on the polar axis can be expressed as u(r, 0) = Rm(r)P,(cos 0), (A) where P is the Legendre polyomial of degree n, and R(r) is the general solution of the differential equation *() - n(n + 1)R = 0, (r > 0), dr dr where n is a non-negative integer. (You are not asked to show...
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The pressure tank shown below can be considered to be a thin walled cylindrical tank with spherical end caps. It has a diameter of 5.000 feet, with a cylindrical wall thickness of 0.5000 inches and has spherical end caps. Find the thickness of the spherical end caps, so that they have the same maximum stress in the metal as the maximum stress in the cylindrical wall. The same type of metal will be the...
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your help!
A uniform surface charge density of +9.5 nC/m^2 is distributed over the entire xy plane. What would be the electric flux through a spherical Gaussian surface centered on the origin and having a radius of 4.5 cm? Suppose we now seek to relate this flux to the electric field caused by the plane. The above would be a good Gaussian surface choice because: (Select ell that...
Provide a simple example showing an interesting use of a "while" loop. ***Please come up with a new one. Thank you*
Answer quick and show work please thank you!
The tank shown is full of water. Given that water weighs 62.5 Ib/ft and R = 5, find the work (in lb-ft) required to pump the water out of the tank. Rft hemisphere Show all steps clearly. Set up an integral. Do not evaluate.