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)                                                                                                               

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)                                                                                                                                                                                                                                                           

Q11c ( 5 pts) Find the second derivative for

 Q13b ( 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

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.

Q7a ( 5 pts) Find the first derivative  

Q17a-10 point   Solve the problem.

 Q6 C – 6pts Find a simplified difference quotient for the function. and evaluate the derivative at a given x-value.