Answer:
x^2+y^2+z^2-10x-6y-10z +50 =0
Step-by-step explanation:
Given that a sphere is contained in the first octant
Centre of the sphere is given as (5,3,5)
Since this is contained only in the first octant radius should be at most sufficient to touch any one of the three coordinate planes
When it touches we can get the maximum sphere
We find that y coordinate is the minimum of 3 thus radius can be atmost 3 so that then only it can touch y =0 plane i.e. zx plane without crossing to go to the other octants.
Hence radius =3
Equation of the sphere would be
Answer: The required set-builder notation is :
Step-by-step explanation: We are given to write the following set B in set-builder form :
the set B consists of all natural numbers less than or equal to 100.
In set-builder form, a variable x is used to represent each and every element of the set.
Therefore, the set B in set-builder form can be written as :
Thus, the required set-builder notation is :