Equation of sphere is {eq}(x-a)^2 +(y-b)^2+(z-c)^2=r^2 {/eq} where (a,b,c) is the center and r is the radius . And since sphere is tangent to xy plane, so radius is the z coordinate of the center that is | -2 | = 2 ...
The standard equation of the sphere can be of the form (x−a)2+(y−b)2+(z−c)2=r2Answer and Explanation: We have to find the equation of the sphere with center at (3,1,2) and radius of 5. So here the standard equation of the sphere is {eq...Become a m...
Using the known virial coefficients of the hard sphere gas three first terms of the series expansion of O1 for hard spheres are evaluated. This gives a slightly different form of the equation of state.The configurational integral O can be expressed as a function of the probability P(n) of ...
Plugging in the variables of helix into the equation of sphere. Manipulate the equation to compute for the values of t Substitute the computed values of t into the equation of helix. Answer and Explanation: Plug in the variables of the helix into t...
Transcribed image text: Find an equation of the sphere with center (-2, 3, 8) and radius 7. What is the intersection of this sphere with the yz-plane? Not the question you’re looking for? Post any question and get expert help quickly. Start learnin...
An approximate Schrdinger equation, whose potential depends on one parameter only, is derived, and this equation yields analytic expressions for the dispersion relations and for the meridional structure of the waves' amplitudes in two asymptotic cases. These analytic solutions validate the accuracy of ...
Have a look at this equation. This is one of the most beautiful equations. It simply says that, well, two things, they're both -1. This thing on the left-hand side is -1, and the other one is. And that, I think, is one of the essential parts of mathematics — you take differ...
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It can further be observed in Table 8 that the number of integration points required in the case of Equation (15) is independent of the sphere–cylindrical plane configuration. The reason for this is the fact that the numerical integration of Equation (15) is only dependent on the accurate ...
Euler's equation (Image credit: Shutterstock/Jezper) This simple formula encapsulates something pure about the nature of spheres: "It says that if you cut the surface of a sphere up into faces, edges and vertices, and let F be the number of faces, E the number of edges and V the numb...