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....
Show that {eq}x^2 + y^2 + z^2 + 4x - 6y + 2z + 6 = 0 {/eq} is the equation of a sphere, and find its center and radius. Equation for a Sphere: Equations for spheres are very similar to equation of circles. They are of the form...
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 ...
A(−3,−4,−5) B(3,4,5) C(3,4,-5) D(-3,4,-5)Submit The equation of a sphere is x2+y2+z2−10z=0. If one end point of a diameter of the sphere is (−3,−4,5),then what is the other end point? A(−3,−4,−5) B(3,4,5) C(3,4,−5) D...
Step 1: Identify the center of the sphere and the equation of the planeThe center of the sphere is given as C(6,−1,2) and the equation of the plane is 2x−y+2z−2=0. Step 2: Use the formula for the distance from a point to a planeThe distance d from a point (x1,y1...
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 ...
An equation of state for the inverse‐twelfth‐power soft‐sphere fluid is obtained by direct summation of the virial series. To do so, a generalization of the Carnahan–Starling method for obtaining the equation of state of the hard‐sphere fluid is used. The equation of state obtained in ...
A point (x , y , z) lies on the line if and only if x = 2 and y = 3. Similarly, the line of intersection of the planes y = 3 and z = 5 is described by the equation pair y = 3, z = 5. This line r arallel to the x- axis. The line of intersection of the planes ...
a在非典期间 我们最好不去人多的地方 In SARS period we most very go to human many places[translate] awhere f is the equation given in equation (2.2), and (xi,yi, zi) is the center of the ith sphere with radius ri.[translate]
Answer to: What is the equation of the sphere with points P such that the distance from P to A(-2, 6, 2) is twice the distance from P to B(4, 3,...