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Q12a (5 pts) Solve the problem. Find the function D that satisfies , given that D=20 when t=0.                                                                                                                                                                                                                    

Q8a-5 point   Determine a rational function that meets the given conditions, and sketch its graph. The function f has a vertical asymptote at x = -3, a horizontal asymptote at y = 2, and f(0) = 1.

Q9c (10 pts) Solve the problem.Of an initial amount of 7000 gram of lead-210, how much will remain in 100 years? lead-210 decayes at a rate of 3.15%.     ( Round your answer to the nearest one decimal place as needed)                                                                                                                                                                                                                                                           

Q2a-6 point   Solve the problem.For a dosage of x cubic centimeters (cc) of a certain drug, assume that the resulting blood pressure B is approximated by

Q15c  (7 pts) Mary’s Taxi Services purchases a sedan and estimates that its salvage value V(t), in dollars, after t years, is given by         V(t)= 32,500e-0.13t a) What did the sedan cost originally? b) What is the salvage value after 4 years? c) Find the rate of change of the salvage value after 4 years, and explain its meaning.    ( Round all your answers to the nearest whole number)                                                  

Q2a (10 pts) Find the equation of the tangent line to the graph of

Q5a-3 point   Draw a graph on the paper to match the description. g(x) has a negative derivative over (-∞, -1) and (3, 5) and a positive derivative over (-1, 3) and (5, ∞).

Q15a (7 pts) Will’s Taxi Services purchases a sedan and estimates that its salvage value V(t), in dollars, after t years, is given by           V(t)= 23,500e-0.12t a) What did the sedan cost originally? b) What is the salvage value after 4 years? c) Find the rate of change of the salvage value after 4 years, and explain its meaning. ( Round all your answers to the nearest whole number)                                                                                       

Q6a ( 5 pts)   Differentiate                                                                                                                                                                                                         

Q3c(5 pts) Find the first derivative for