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)                                                  

Q5b-3 point   Draw a graph on the paper to match the description. f(x) has a positive derivative over (-∞, -5) and a negative derivative over (-5, 4) and (4, ∞), and a derivative equal to 0 at x = 4.

Q2b-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

Q9b (10 pts) Solve the problem.Of an initial amount of 2000 gram of lead-210, how much will remain in 140 years? lead-210 decayes at a rate of 3.15%. ( Round your answer to the nearest one decimal place as needed)                                                                                                                                                                                                                                                            

Q10a-6 point   Find the points of inflection. Determine where the given function is concave up and where it is concave down.

Q2c (10 pts) Find the equation of the tangent line to the graph of

Q3a-10 point   Solve the problem.The annual revenue and cost functions for a manufacturer of grandfather clocks are approximately

Q11c-5 point   Find the absolute maximum and absolute minimum values of the function, if they exist, over the indicated interval, and indicate the x-values at which they occur.

Q3b(5 pts)     Find the first derivative for

Q8c-5 point   Determine a rational function that meets the given conditions, and sketch its graph. The function f has vertical asymptotes at x = – 3 and x = 0, a horizontal asymptote at y = 5, and f(1) = 2.