Explain how the body regulates blood glucose levels.
Glucose concentration in the blood is regulated by alpha and beta islet cells located in the pancreatic islet. When blood glucose levels are too low, a hormone called glucagon is released from the alpha islet cells of the pancreas. Glucagon stimulates the liver to metabolize glycogen stored into the liver and release glucose into the bloodstream raising blood sugar. When blood glucose is too high, a hormone called insulin is released from the beta islet cells of the pancreas. Insulin promotes the uptake of insulin in the liver and stores excess glucose as glycogen for later use. In an individual with diabetes, the release of insulin is impaired and the regulation of blood glucose levels is not properly conducted by the body. The solution to this is often the use of an insulin pump (or in the case of type II diabetes, the treatment of overall health to improve pancreatic function).
Understand how to solve a differential equation using the integrating factor method.
Problem and solution: https://docs.google.com/document/d/1ZjoIJwixZfu7EftxYywmCzXTfjIPFH9BDRC9ZVa44sM/edit?usp=sharing
Projectile motion: A ski jumper takes off from a ski jump that makes an angle of 35 degrees to the ground at a speed of 18 meters/second. In addition, the landing is at an angle of 45 degrees to the ground. How far will the skier travel outward from the jump?
Worked solution URL: https://docs.google.com/document/d/1nZsKHSQHWmcjzsMQHBmN--MEK0CsP_CYnWDi7OwnYfs/edit?usp=sharing