Find the equation of the sphere centered at (2,−9,1) with radius 2. 4 = (x-2)+(y+9)+(z-1). give an equation which describes the intersection of this sphere with the plane z=2.

See explanation

Step-by-step explanation:

The equation of the shpere canterd at point with radius is

The center of the sphere is (2,-9,1), the radius is 2, then the equation is

Now, find the intersection of this sphere with the plane z=2. Substitute 2 instead of z into the sphere equation:

This is the equation of the circle lying in the plane z=2 with center at (2,-9,2) and radius

. + λrh() e 1 1 2 4 4 4 4 4 3 4 4 4 4 4 + th−1(− s(x)2 dx ω + λrh−1() e 2 1 2 4 4

step-by-step explanation: