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  

Q1 Honor Code:  I have not either accepted nor given outside assistance on this test.  I understand that I am expected to follow the Academic Integrity Standards as found in the NVCC Student Handbook. If you skip this questions, your  will receive zero credit for the exam. Signed: [Type your name in the text field below.]

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.