After a thorough examination, the doctor determined it was strep throat
While you could construct the sentence in that way it might be more usual to use a different form such as... He was destined for failure in the examination.
No, except at the beginning of a sentence because it is not a proper noun.
I'm not leaving this room until I find the secret panel! I am under examination by the company's panel of experts.
I require a pair of sandals.
Examination is a noun.
Just from my examination, you don't know how to use examination in a sentence.
To prepare for the examination, the doctor ....
The witness was not prepared for the defense attorney's brutal cross examination.
The defense's most important witness completely fell apart under cross-examination.
While you could construct the sentence in that way it might be more usual to use a different form such as... He was destined for failure in the examination.
After a thorough examination, the doctor determined it was strep throat
No, because it is not a proper noun.
The doctor only gave me a cursory examination.
No, "agreed medical examination" does not need to be capitalized unless it is used as part of a title or at the beginning of a sentence.
He took time to examine the signature carefully.
An examination is a test or inspection. The appraiser would not offer a value on the painting without an examination of the piece of art. There probably isn't a college course anywhere that doesn't have at least one examination administered to its students over the course of the semester.
Through careful examination of the scene, the detectives were able to surmise that the death was accidental.