Why does respiration occur at body temperatures?

Answer 1

I do not quite follow your question. Respiration is required to obtain oxygen as long as the body is alive. The body temperature is constant for warm-blooded animals. For cold-blooded animals, such as fishes, their body temperature drops as the outside temperature drops. They become less active, but they still need to breathe.

Answer 2

OBSERVATIONS were made on rectal temperature and respiration-rate of five groups of animals all kept in open sheds on the University Farm, Alexandria. Group I consisted of two buffalo cows and group II consisted of two Friesian cows, and all were in the same early stage of first lactation. The other three groups included two male calves each, from buffaloes, Friesians and native cattle. Readings of rectal temperature and respiration-rate were taken three times daily at 8.30, 11.30 a.m. and 2.30 p.m. on quietly standing animals on two days weekly for seven weeks from July 23 until September 9, 1955. Air temperature was recorded at the same intervals and ranged between 37.2° and 38.9° C.
http://www.nature.com/nature/journal/v177/n4515/abs/177900b0.html