1. a) Find an equation of the sphere that passes through the point (1, -2, 3) and has center (2, 3, 0). b) Find the equation of the sphere that has center (1, -1, -2) and touches the x-y plane at a s Given the equation of a sphere: x...
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....
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...
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 ...
E., Effect of the history term on the transient energy equation for a sphere, Int. J. Heat Mass Transfer, 46 (2003), 1575- 1586.Gay, M., & Michaelides, E. E. (2003). Effect of the history term on the transient energy equation of a sphere. International Journal of Heat and Mass...
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...
The solution to a problem with limits for the equation of waves in the case of the circle and the sphereSmirnov, V I
<p>To find the volume of a sphere given its surface area, we can follow these steps:</p><p><strong>Step 1: Use the formula for the surface area of a sphere.</strong> The formula for the surface area \( A \) of a sphere is given by: \( A = 4\pi r^2 \) whe