Q16b (5 pts) Solve the problem. A radioactive substance has a half-life of 50 years. What is the decay rate? ( Round your final answer to the nearest two decimal places)                                                                                                                                                                                       

Q 16 B – 8pts Solve the problem.A population grows from an initial size of 2 people to an amount P(t), given by  where t is measured in years from 1990. Find the acceleration in the population years from 1990.

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

Q5a( 4 pts) Find the derivative of the following function: 

Q6a ( 5 pts)   Differentiate                                                                                                                                                                                                         

Q 13 B – 8pts Solve the problem. A men’s suit manufacturer finds that the cost, in dollars, of producing x suits is given by  Find the rate at which the average cost is changing when 200 suits have been produced. Round the answer to four decimal places.

  Q4 C – 4pts Use the properties of limits to help decide whether the limit exists. If the limit exists, find its value.

 Q7 A – 8pts An appliance manufacturer has determined that the cost, in dollars, of producing x espresso makers is given by . If the revenue from the sale of x espresso makers is given by    find the rate at which the average profit per espresso maker is changing when 25 espresso makers have been made and sold. Round to the nearest cent.

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

 Q7 C – 8pts An appliance manufacturer has determined that the cost, in dollars, of producing x espresso makers is given by . If the revenue from the sale of x espresso makers is given by  find the rate at which the average profit per espresso maker is changing when 64 espresso makers have been made and sold. Round to the nearest cent.