Patients in a hospital are often given medicine through an IV drop. A patient is prescribed a 250 ml bag of medicine to be administered at a rate of 3 ml per minute. the function used to model the medicine remaining in the bag is shown below where t is the amount of medicine per minute.

Mrs. h, age 42 years, is experiencing severe rheumatoid arthritis in her wrists, fingers, and knees. the joints are quite inflamed, red, and swollen. she is sitting rigidly in a chair and refuses to put on a sweater, even though she is shivering, or let anyone touch her arms. she has been prescribed an analgesic and an anti-inflammatory drug, but her dose is not due for another hour. she is feeling nauseated, so she has not eaten for the past 8 hours. based on patient history and the signs and symptoms, discuss how the effects of pain are exacerbating her condition.