A rodeo performer spins a lasso in a circle perpendicular to the ground. The height of the knot from the ground is modeled by
where t is the time measured in seconds.
a. What is the highest point reached by the knot?
b. What is the lowest point reached by the knot?
c. What is the period of the model?
d. According to the model, find the height of the knot after 25 seconds.