Text: the reflected colors will then only depend on the constructive or destructive interference of the to outgoing rays.

Correct capitalization: The reflected colors will then only depend on the constructive or destructive interference of the to outgoing rays.

Text: your veterinarian will perform a thorough physical exam on your pet, with a complete blood profile, chemical blood profile, complete blood count, urinalysis and an electrolyte panel to rule out other concurrent diseases.

Correct capitalization: Your veterinarian will perform a thorough physical exam on your pet, with a complete blood profile, chemical blood profile, complete blood count, urinalysis and an electrolyte panel to rule out other concurrent diseases.

Text: the british lost five thousand men primarily from disease.

Correct capitalization: The British lost five thousand men primarily from disease.

Text: as i've mentioned before, our primary healing mechanism is vibrations, which is why music is so essential.

Correct capitalization:
As I've mentioned before, our primary healing mechanism is vibrations, which is why music is so essential.