Find equations of the spheres with center (1,−4,5) that just touch (at only one point) the following planes. (a) xy-plane (b) yz-plane (c) xz-plane Find an equation of the largest sphere with center (7,6,9) that is contained in the first octant. x
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We are given centers of spheres and asked to find equations of spheres that just touch (are tangent to) certain coordinate planes. A sphere that just touches a plane means the distance from the center to the plane equals the radius of the sphere. For the last Show more…
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