A sphere is defined as the set of points that is at an equal distance (its radius, r) from a fixed point (its center, (a,b,c)). The general equation of a sphere can be written as: (x−a)2+(y−b)2+(z−c)2=r2....
结果1 题目 x^2+y^2+z^2=26 is the equation of a sphere, (0,0,0) and radius √(26) units. Find the point(s) where the line through (3,-1,-2) and (5,3,-4) meets the sphere. 相关知识点: 试题来源: 解析 (4,1,-3) and (1,-5,0) 反馈 收藏 ...
Equation of Sphere: Sphere is a three dimensional figure in geometry. The diameter is very important in finding the radius of the sphere and vice-versa. The center of the sphere is the mid-point of the endpoints of the diameter. The equation of the sp...
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 ...
The radius r of the sphere is √4=2. Step 6: Write the equation of the new sphereThe equation of a sphere with center (h,k,l) and radius r is given by:(x−h)2+(y−k)2+(z−l)2=r2Substituting the center (1,−1,1) and radius 2:(x−1)2+(y+1)2+(z−1)2=...
In a model of the expansion of a sphere of radius r cm, it is assumed that, at time t seconds after the start, the rate of increase of the surface are a of the sphere is proportional to its volume. When t=0, r=5 and r=5.Show that r satisfies the differential equationr=5...
1.shaped like a sphere 2.(Mathematics) of or relating to a sphere:spherical geometry. 3.(Mathematics)geometryformed on the surface of or inside a sphere:a spherical triangle. 4.(Astronomy) a.of or relating to heavenly bodies b.of or relating to the spheres of the Ptolemaic or the Copern...
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Without loss of generality we can set the orbital plane of the lightθ=π2. Introducing the two conserved quantities, angular momentum and energy, we can for a mass-less particle reduce the equation for the trajectory of light to3,9: ...
Compared to that in the numerical integration of Equation (15), both the curvature of the curved elliptic surface and the edge of the surface are represented exactly. The values of the respective integration increments are a reflection of these characteristics. Due to the differences in the ...