Q10b-6 point   Find the points of inflection. Determine where the given function is concave up and where it is concave down.

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

Q6a-6 point   Solve the problem.Suppose that the value V of a certain product decreases, or depreciates, with time t, in months, where

Q13a ( 5 pts) Provide an appropriate response. The amount of​ carbon-14 present in animal bones t years after the​ animal’s death is given by

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

Q17b-10 point   Solve the problem.

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, ∞).

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.

 Q4b-5 point   Use the first derivative test and check for the relative extrema of the function, if they exist.

Q14a (10 pts) Solve the problem. If an amount P0   is invested in an account and interest is compounded continuously at 5.9% per year, the balance P grows at the rate is given by     a) Find the function that satisfies the equation and write it in terms of P0 and 0.059. b)Suppose $ 1000 is invested. What is the balance after 2 yr? c) What is the rate of change of the balance after 2 yr?( Give all answers to nearest cents)