Q12c (5 pts) Solve the problem. Find the function B  that satisfies , given that B=15 when t=0.                                                                                                                                                                                 

Q11a ( 5 pts) Find the second derivative for  

Q 15 B – 5pts Solve the problem.If s is a distance given by

Q16a (5 pts) Solve the problem. A radioactive substance has a half-life of 55 years. What is the decay rate? ( Round your final answer to the nearest two decimal places) 

Q3c(5 pts) Find the first derivative for

  Q 9 B- 6pts Differentiate.

Q5b (4 pts) Find the derivative of the following function:   

Q 12 C – 6pts Find all values of x (if any) where the tangent line to the graph of the function is horizontal.

  Q 10 B – 7pts Solve the problem. is deposited in an account with an interest rate of % per year, compounded monthly. At the end of 5 years, the balance in the account is given by    Find the rate of change of with respect to r when  Round answer to the nearest hundredth, if necessary.

Q14c (10 pts) Solve the problem. If an amount P0   is invested in an account and interest is compounded continuously at 6.2% 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 0.062. b)Suppose $ 3000 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)