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.     

Q11a ( 5 pts) Find the second derivative for  

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