Find the Distance Between the Sphere $( x - 1 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + z ^ { 2 } = \frac { 1 } { 4 }$

question 266

Essay

Find the distance between the sphere $( x - 1 ) ^ { 2 } + ( y + 1 ) ^ { 2 } + z ^ { 2 } = \frac { 1 } { 4 }$ and the sphere $( x - 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } + ( z + 2 ) ^ { 2 } = 1$

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Definitions:

Progesterone

A hormone released by the ovaries that prepares the uterus for pregnancy and maintains it until birth.

Uterine Lining

The layer of cells that lines the uterus, which thickens during the menstrual cycle in preparation for possible implantation of an embryo.

Fertilized Egg

An egg cell that has been penetrated by a sperm cell, initiating the development of a new organism.

Estrogens

A group of steroid hormones that promote the development and maintenance of female characteristics of the body.