1.Determine the locations of all points (ordered pairs) on the graphs of the following function where the slope of tangent to the curve is equal to 0. Identify the optimum points and give the mathematical reason: y = f(x)=3x^2-18x-7

2.y= f(x)=(cx-d)^5

3.Consider the epidemic function n=f(t)=30t^3-2t^2 where n equals the number of people and 0<=t<=60, measured in days

a. how many people are expected to have caught the disease after 20 days? after 40 days?

b. what is the average rate of change at which the disease is expected to spread between t=30 and t=50

c. what is the instantaneous rate of change at which the disease is expected to be spreading at t=10?