Pls helppp Me with this problemm
1 answer:
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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
The logarithm of a quotient can be written as a difference of logarithms:
You can also think of this as a combination of the product-to-sum and reciprocal/power properties of logarithms:
To summarize,
we are given
we can rewrite it as
we can see that
1/3 is multiple in both terms
so, we can factor it out
and we get
...............Answer