1) A drug is injected into a patient and the concentration of the drug is monitored. The drug's concentration in milligrams after t hours is modeled by.

C(t)=7t+97/t²+2

How many milligrams of the drug were given initially to the patient?

2)A drug is injected into a patient and the concentration of the drug is monitored. The drug's concentration in milligrams after t hours is modeled by .C(t)=7t+97/t²+2

Estimate the drug's concentration in the patient after many hours in the future.

3)A drug is injected into a patient and the concentration of the drug is monitored. The drug's concentration in milligrams after t hours is modeled by.

C(t)=7t+97/t²+2

Using your calculator, determine when the drug concentration will be less than 30 micrograms (remember that 1000 micrograms equals 1 milligram).

4) Solve the polynomial inequality algebraically.

(x-2)(x+1)(x²-1)>0

Write the fully factored form of the polynomial and then identify all zeros and their multiplicities.

5)Solve the polynomial inequality algebraically.

x²-16<0

6)Complete the 9-box method for this rational function:

f(x)=2x²+5x+2/x²+5x+6

7)The cost (in dollars) of producing x office chairs is C = 15,000 + 54.62x.

the average cost of C, per office chair is C=15,000+54.62x/x, x>0.

find and interepret the horizontal asymptote on the graph of C.

8) Write rational function f(x) that has the specified characteristics.

Vertical asymptote:x = 3

Hole at x = 5

Horizontal Asymptote:y = 2

9) Jose, an open water swimmer, is training for the Olympics. To do so, he swims in a stream that is 2 m/h. Jose swims 12 miles against the current, then turns around and swims back to where he started from. His entire swim lasted 6 hours. How fast would Jose swim with no current?

10)It takes Theo 4 times longer to paint a room than it takes Elmyra. Together they can paint the room in 4 hours. How long would it take Theo working alone?